







New pool liner 
20210714 

Kareena pose la question : I have a rectangular prism shaped pond that are 4ft by 8ft by 2ft. My pond is
lined on the sides and bottom with a pool liner so that it doesn't leak (the top
of the pool does NOT have a liner). I am redoing my pool and would like to
increase the size of the pond. Each dimension will increase by the same amount,
and the size of the pool liner will double. How much I am increasing each
dimension of the pond? Give an exact answer and than an approx. answer rounded to
the nearest tenth. Penny Nom lui répond. 





A line cuts a curve 
20181111 

roxanne pose la question : Hello, i need to ask a question, do you mind explaining and writing the formula of how to solve equations such as "find the set values of k for which the line y2x5 cuts the curve y=x^2 +kx+11" please Penny Nom lui répond. 





The intersection of a curve and a line 
20180308 

lola pose la question : find the set of values of constant C for which the line y=x+c intersects the curve y=2 square root x at, at two distinct points Penny Nom lui répond. 





Quadratic Equations 
20170328 

Natalie pose la question :
Hi Maths Central,
I am having trouble with quadratic equations. The question is:
Calculate the length 'l' of a rectangular pool by creating and solving a quadratic equation.
1. The rectangular pool is of equal area to a square pool, and a circular pool (5.70m^2).
2. The length of the rectangular pool must be 2m longer than the width 'w'.
Thank you so, so much for your help, Maths Central! Penny Nom lui répond. 





Solve 3x^219x14=0 for x 
20170315 

nick pose la question : I'm an 8th grader and am quite confused with this equation:
3x^219x14=0
The answer is:
2/3 , 7
But I'm not sure how to solve for it. Penny Nom lui répond. 





Form the quadratic equation which has given roots 
20170116 

Tharshini pose la question : Given a and B are the roots of the quadratic equation x^2+4x+7=0. Form the quadratic equation which has the roots
3a1 and 3B1 Penny Nom lui répond. 





Solve 2^2x + 3(2^x)  4 = 0 
20160427 

Lloyd pose la question : Solve the equation 2^2x + 3(2^x)  4 = 0 Penny Nom lui répond. 





A quadratic equation with equal roots 
20160123 

abdiwahid pose la question : X^2+2ax+4x+9a=0 is quadratic equation which has equal roots. Find the possible value of a? Penny Nom lui répond. 





Find the quadratic equation whose roots are 4 and 7 
20160103 

sadiya pose la question : Find the quadratic equation whose roots are 4 and 7 Penny Nom lui répond. 





A quadratic equation with known roots 
20151101 

Awudu pose la question : Given the roots of the quadratic equation ax^2+5x+c=0 are 5 and 2/3,find the values of a,b and c. Penny Nom lui répond. 





2p^2+4p=16. How do i get p? 
20150922 

Dohie pose la question : How do i solve this?
2p^2+4p=16. How do i get p?
Thanks Penny Nom lui répond. 





Two consecutive positive integers 
20150301 

meha pose la question : Find two consecutive positive integers , sum of whose squares is 365. Penny Nom lui répond. 





Two quadratic equations 
20141120 

rajesh pose la question : Sir,
I would like to discuss on question
Find the value of variable X and Y, equations are
X2+Y2+2XY=25
X2+Y22XY=1
Sir, my point is equation looks not so easy.My opinion is there many
(more than 4)value possible for both X and Y.
Kindly help me.
Waiting for your response.
regards,
rajesh Penny Nom lui répond. 





A quarter mile row of trees 
20141009 

junna pose la question : a farmer would like to plant trees on one side
of his lot which is 1/4 of a mile in a length
His friend advised him that if he would plant
the trees 5 feet farther apart,he would need 44
fewer trees.If the farmer would take the advice,
how many trees would he plant? Penny Nom lui répond. 





A quadratic equation 
20140920 

Najah pose la question : (E): (m2_1)x2 _ (m+3)x+4_m2=0
A) for what values of m is the equation (E) quadratic?
B) for what value of m is the real number 1 a root of (E) Penny Nom lui répond. 





A quadratic equation given the roots 
20140423 

Sarah pose la question : How do you find the quadratic formula when you're given just the roots ... X=3 X= 1/3
Thanks ! Robert Dawson lui répond. 





A quadratic equation 
20131127 

corinanna pose la question : Hi,
How do you find a quadratic equation given the domain & range,
& or the yintercept? Penny Nom lui répond. 





Solve 0=2(x5)^2+4 
20131117 

Leila pose la question : How do you find the solution to 0=2(x5)^2+4 Penny Nom lui répond. 





A quadratic with no real roots 
20130715 

Pranav pose la question : If ax^2+bx5=0 has no real roots. Then d sign of 1) a+b5
2) (25a5b5)(4a+2b5) will be what ?? Penny Nom lui répond. 





Two quadratic equations 
20121122 

fahmie pose la question : graph and solve the intersection of the following equations:
x^2+y^2=4
x^2+2y=4 Penny Nom lui répond. 





A quadratic function 
20120608 

Salehah pose la question : Hi there, i dont know how to do quadratic equations. So how do i do the question,
that says: xint 4 and 2, and yint of 4? and we are to maek a quadratic function with this information.
Please help!
Thank you very much!
Salehah Robert Dawson lui répond. 





A parabolic arch 
20120104 

Swathi pose la question : A plan for an arch in the shape of a parabola is drawn on a grid with a scale of 1m per square.
The base of the arch is located at the points (0,0) and (15,0). The maximum height of the arch
is 18m.
a)Determine the quadratic function that models that arch
b)State the domain and range of the function Penny Nom lui répond. 





Three consecutive numbers 
20111129 

Michael pose la question : Find three consecutive numbers such that the second number squared
is equal to the first and third added together Penny Nom lui répond. 





A picture with a frame 
20110819 

Aniish pose la question : A picture 8inches by 12inches is placed in a frame of uniform width. If the area of the frame equals the area of the picture find the width of the frame? Penny Nom lui répond. 





Throwing a football 
20110208 

Janet pose la question : a football is thrown into the air from 2 meters high. After 1 second it is 6.9 meters high. After another second it is 2 meters high. How high is it after 1.02 seconds and .05 seconds? when will it reach 5.136 meters? I am not sure how to extract the numbers I need and what equations to use them in? Stephen La Rocque lui répond. 





The suspension cables of a bridge 
20100729 

Mike pose la question : what is the formula for the suspension cables of a bridge.
The towers are 200 ft above the roadway
The towers are 3400 ft apart
The cable if at 8ft in the middle of the span Robert Dawson lui répond. 





A quadratic equation with imaginary numbers 
20100603 

Alissa pose la question : I am solving a quadratic equation and I got this far;
(x4+i)(x4i)=0
but how do I add the imaginary numbers
i know you multiply x by x and then add 4 + 4 but what do you do with the i's? Penny Nom lui répond. 





The product of two consecutive even integers 
20100511 

Terry pose la question : The product of two consecutive even integers is 14 more than their sum. Find the integers. Penny Nom lui répond. 





A quadratic equation 
20100503 

Millie pose la question : (3x4)(5xplus2)=0 Penny Nom lui répond. 





A piece of string 8 inches long is cut in two pieces 
20100202 

Susan pose la question : If you have a piece of string 8 inches long and cut it in two pieces. Then take the pieces and forms
each into a square such that the area of each squares added together equals 2. How long are the
sides of the squares?
Susan Penny Nom lui répond. 





Quadratic equations 
20090830 

jovian pose la question : how can i find the quadratic equation of the roots 2/5 and 1/3? Stephen La Rocque lui répond. 





Factoring 
20090823 

Bj pose la question : Solve for x: 5x^2  35x = 0 Stephen La Rocque lui répond. 





4cos^2 (3x) + 3sin (3x) = 1 
20090505 

Cheryl pose la question : Find all solutions of the following equation and show how to do this algebraically.
4cos^2 (3x) + 3sin (3x) = 1 Harley Weston lui répond. 





A quadratic equation with roots (4i) and (4+i) 
20090505 

Kelly pose la question : find a quadratic equation with roots (4i) and (4+i) Harley Weston lui répond. 





cos2x = sinx 
20090419 

stacey pose la question : solve the equation cos2x = sinx for 0 < x < 2 pi
giving the answer in terms of pi. Harley Weston lui répond. 





ax^2 + bx + c = 0 has no real roots and.... 
20090126 

Alberto pose la question : The equation ax^2 + bx + c = 0 has no real roots and a + b + c < 0 . Chose the right answer:
(A) c > 0
(B) c <= 0
(C) c = 0
(D) c >= 0
(E) c < 0
Explain the choice. Robert Dawson and Harley Weston lui répond. 





Quadratic equations arising from practical problems 
20081124 

Lenval pose la question : Why do quadratic equations arising from practical problems often give physically impossible solutions such as negative distances, negative times or, say, a polygon with a negative number of sides? For example: "A river in flood carries a tree tsquared  23t metres downstream in t seconds. How long does it take for the tree to be carried 50 metres downstream?" This gives t=25 and t=2. Please explain the second 'solution', which is not physically possible. Chris Fisher and Victoria West lui répond. 





Solving an Equation with a Square Root 
20081005 

Jonathan pose la question : the square root of 3x+18 = x
3x+18 are within the square root Victoria West lui répond. 





cos^2x  3cosx = 1 
20080929 

Danielle pose la question : cos2x  3cosx = 1 Penny Nom lui répond. 





y^2+3yz8z4z=0 
20080817 

Rae pose la question : y^2+3yz8z4z=0 Penny Nom lui répond. 





algebra 
20080731 

Eric pose la question : Would you please solve & explain this equation to me: x^2+2x=x(x+2)?
Thank you Penny Nom & Stephen La Rocque lui répond. 





Width of a Garden Path 
20080730 

Erin pose la question : A rectangular garden has dimensions of 18 feet by 13 feet. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 516 square feet? Janice Cotcher lui répond. 





3y^2  48 = 0 
20080623 

marquis pose la question : 3y^2  48 = 0 Stephen La Rocque lui répond. 





A quadratic equation 
20080603 

Drew pose la question : A solution of x^28x=17 is
4 or 4+I or 4 or 4+i Janice Cotcher lui répond. 





Find the quadratic equation with roots at (3i) and its complex conjugate 
20080422 

Tiffany pose la question : Find the quadratic equation with roots at (3i) and its complex conjugate. Penny Nom lui répond. 





A quadratic equation with odd coefficients 
20080415 

Manashi pose la question : If p,q,r be any odd integers, then prove that the roots of the quadratic equation px^2+qx+r=0 can't be rational . Stephen La Rocque lui répond. 





A rectangle word problem 
20080410 

Nick pose la question : A rectangle is twice as long as it is wide. If the length and width are both increased by 5cm, the resulting rectangle has an area of 50cm^2. Find the dimensions of the original. Penny Nom lui répond. 





Problems solved using quadratic equations 
20071007 

Lisa pose la question : a. Two positive numbers differ by 5. Their product is 234. What are the two numbers?
b. The sum of two numbers is 12. Their product is 30. What are the two numbers?
c.Two numbers differ by 5. Their squares differ by 55. What are the two numbers?
d. The sum of two numbers is 15. Their product is 56. By forming an equation, find the two numbers. Penny Nom lui répond. 





Can you solve this by factoring? 10r^2  35r = 10 
20070812 

Aranxa pose la question : how do u solve this equation by factoring:
10r^2  35r = 10 Stephen La Rocque lui répond. 





15 = 19.2 t (time)  4.9 t squared 
20070611 

Nicole pose la question : 15 = 19.2 t (time)  4.9 t squared Penny Nom lui répond. 





Solving a quadratic equation using the Quadratic Formula 
20070605 

Stuart pose la question : Solve the following quadratic equation:
3xsquared5x4=0 Stephen La Rocque lui répond. 





Intersection of a line and a circle 
20070412 

gaby pose la question : The sum of two numbers is 9. The sum of the squares of the two numbers is 41. Find the numbers. Steve La Rocque and Melanie Tyrer lui répond. 





Fencing a field 
20070201 

Carol pose la question : "The area of a rectangular field is 1200m^2. Two parallel sides are fenced with aluminum at $20/m. The remaining two sides are fenced with steel at $10/m. The total cost of the fencing is $2200." What is the length of each side fenced with aluminum and steel? Stephen La Rocque lui répond. 





A quuadratic equation 
20061222 

Harold pose la question : L=3w4 A=96Square I used the quadratic equation to solve and my answer is still wrong
I convert the square of 1168 to decimal.
here is where i start (3w4) x w=96
could you give me an example Stephen La Rocque lui répond. 





The roots of a quadratic equation 
20061116 

Lana pose la question : If p and q are the roots of 2X^2 +3X+7=0, compute pq^3+qp^3. thanks for your help. Penny Nom lui répond. 





Is this unsolvable? 
20060919 

Al pose la question : Is this unsolvable???
2xy + 3x^2  3y + y^3 = 4x + 3 where y=3. Penny Nom and Claude Tardif lui répond. 





cos 2x = sin x 
20050122 

Kris pose la question : solve the equation
cos 2x = sin x for 0<= x < 360 Penny Nom lui répond. 





x^2 = x + 2 
20040726 

A parent pose la question : x2 = x+2
My daughter came home with this equation today and although I know the answer is x=2, i have no way of proving it by showing any working out. Penny Nom lui répond. 





Solving some quadratic equations 
20040715 

A student pose la question : Could you please solve the following for x
x^{2}+6=5x
x^{2}+16=8x
2x+21=3x^{2} Penny Nom lui répond. 





The product of the page numbers 
20031107 

Morgan and Mom pose la question : You open a book and the product of the page numbers is 12,656. What are your page numbers? Penny Nom lui répond. 





x6square root of x +8=0 
20030510 

Elizabeth pose la question : x6square root of x +8=0 Penny Nom lui répond. 





Why quadratic? 
20030121 

Dan pose la question : Why are equations of the form aX^{2} + bX + c =0 call quadratic? The quad indicates 4 but the power is 2. Penny Nom lui répond. 





Quadratic equations 
20021210 

Katie pose la question : just bugging the hell outta me and I cannot figure it out for the life of me.
1)x2x1 =0 Find both roots. You must simplify both of your roots. This equation requires the use of the Quadratic Formula. I have tried everything for this and I am still either getting the wrong answers, and end up getting really frustrated. If you could find the answers and tell me how you did it I would greatly appreciate it! Then the second problem is
2) The square of a certain negative number is equal to 70 decreased by 3 times the number. Find the answer! On this one I set it up but still came out with the wrong answer. So if you could help me on this one I would greatly appreciate it! Penny Nom lui répond. 





A complex quadratic 
20021006 

Michael pose la question : I would like to know, how to solve this Complex number: quadratic equation. ix^{ 2} + x i = 0 Harley Weston lui répond. 





A rightangled triangle 
20011213 

Pamela, Jeff, Kayleigh and Jacob pose la question : A rightangled triangle has one side that is 8 cm shorter that the hypotenuse. The other side is 1 cm shorter than the hypotenuse. Find the length of the sides. Penny nom lui répond. 





Quadratic equations 
20010311 

Philip pose la question : I am a student in the UK and i am in secondary school and i am doing my GCSE next year. here are my questions: solve the following equations correct to 2 decimal each time. [1] 2xsquared + 5x = 1 [2] 3xsquared(2x+1)=1 [3] xsquared + 7x + 2 = 2x + 4 [4] 5xsquared  3x = xsquared + 4 Penny Nom lui répond. 





Finding a Quadratic Equation given the roots 
20000416 

A secondary student pose la question : How do I find the equation for the quadratic with roots at 2i and its complex conjugate? Harley Weston lui répond. 





Quadratic 
20000126 

Karen Johnson pose la question : What is the reasoning behind the title quadratic equation? Penny Nom lui répond. 





Derive the quadratic equation 
20000101 

Thuy pose la question : My teacher asked us this question in which i can't understand when she asked to derive the quadratic equation. What does this mean? Penny Nom lui répond. 





A ladder problem 
19990422 

Michael Blade pose la question : There is a cube box 3feet x 3feet x 3ft resting against a vertical wall on level ground. Resting against the outside corner of the box is a ladder 10 feet tall, this ladder is of course resting on the ground but also against the outside corner of the box and rests on the wall. The question the ladder is divided into two unequal section bounded by the box to the ground and the box to the wall. what are those dimensions? Penny Nom lui répond. 





Quadratic equations 
19990331 

Ken Niebergall pose la question : #1 a^{2}  10a = 2a  36 #2 t(t  5) = 5 (t  5) #3. (x + 4)(x  3) = 8 Thanks. Jack LeSage and Penny Nom lui répond. 





An airplane problem 
19990308 

B.M.R. pose la question : A plane left New York and headed East to its destination 3600 miles away across the Atlantic. On the way back its speed was boosted by a 50 mph tail wind and it arrived an hour early. What was its normal speed? Jack LeSage lui répond. 





Find the Numbers. 
19971228 

Sandy C pose la question : The sum of the squares of two numbers is 53. Twice the greater, minus the lesser is 11. Find the numbers. Penny Nom lui répond. 





Why QUADratic? 
19970319 

Paula Miller pose la question : A student today asked me why a quadratic, with highest power of degree 2, was called a QUADratic. We're awaiting the answer with baited breath! :) Chris Fisher and Walter Whiteley lui répond. 

