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quadratic equation

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New pool liner 2021-07-14
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 2018-11-11
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 y-2x-5 cuts the curve y=x^2 +kx+11" please
Penny Nom lui répond.
The intersection of a curve and a line 2018-03-08
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 2017-03-28
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^2-19x-14=0 for x 2017-03-15
nick pose la question :
I'm an 8th grader and am quite confused with this equation: 3x^2-19x-14=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 2017-01-16
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 3a-1 and 3B-1
Penny Nom lui répond.
Solve 2^2x + 3(2^x) - 4 = 0 2016-04-27
Lloyd pose la question :
Solve the equation 2^2x + 3(2^x) - 4 = 0
Penny Nom lui répond.
A quadratic equation with equal roots 2016-01-23
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 2016-01-03
sadiya pose la question :
Find the quadratic equation whose roots are -4 and 7
Penny Nom lui répond.
A quadratic equation with known roots 2015-11-01
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? 2015-09-22
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 2015-03-01
meha pose la question :
Find two consecutive positive integers , sum of whose squares is 365.
Penny Nom lui répond.
Two quadratic equations 2014-11-20
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+Y2-2XY=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 2014-10-09
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 2014-09-20
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 2014-04-23
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 2013-11-27
corinanna pose la question :
Hi,
How do you find a quadratic equation given the domain & range, & or the y-intercept?

Penny Nom lui répond.
Solve 0=-2(x-5)^2+4 2013-11-17
Leila pose la question :
How do you find the solution to 0=-2(x-5)^2+4
Penny Nom lui répond.
A quadratic with no real roots 2013-07-15
Pranav pose la question :
If ax^2+bx-5=0 has no real roots. Then d sign of 1) a+b-5 2) (25a-5b-5)(4a+2b-5) will be what ??
Penny Nom lui répond.
Two quadratic equations 2012-11-22
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 2012-06-08
Salehah pose la question :
Hi there, i dont know how to do quadratic equations. So how do i do the question, that says: x-int -4 and 2, and y-int 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 2012-01-04
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 2011-11-29
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 2011-08-19
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 2011-02-08
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 2010-07-29
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 2010-06-03
Alissa pose la question :
I am solving a quadratic equation and I got this far;
(x-4+i)(x-4-i)=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 2010-05-11
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 2010-05-03
Millie pose la question :
(3x-4)(5xplus2)=0
Penny Nom lui répond.
A piece of string 8 inches long is cut in two pieces 2010-02-02
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 2009-08-30
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 2009-08-23
Bj pose la question :
Solve for x: 5x^2 - 35x = 0
Stephen La Rocque lui répond.
4cos^2 (3x) + 3sin (3x) = 1 2009-05-05
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 (4-i) and (4+i) 2009-05-05
Kelly pose la question :
find a quadratic equation with roots (4-i) and (4+i)
Harley Weston lui répond.
cos2x = sinx 2009-04-19
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.... 2009-01-26
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 2008-11-24
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 t-squared - 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 2008-10-05
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 2008-09-29
Danielle pose la question :
cos2x - 3cosx = 1
Penny Nom lui répond.
y^2+3yz-8z-4z=0 2008-08-17
Rae pose la question :
y^2+3yz-8z-4z=0
Penny Nom lui répond.
algebra 2008-07-31
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 2008-07-30
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 2008-06-23
marquis pose la question :
3y^2 - 48 = 0
Stephen La Rocque lui répond.
A quadratic equation 2008-06-03
Drew pose la question :
A solution of x^2-8x=-17 is

-4 or -4+I or 4 or 4+i

Janice Cotcher lui répond.
Find the quadratic equation with roots at (3-i) and its complex conjugate 2008-04-22
Tiffany pose la question :
Find the quadratic equation with roots at (3-i) and its complex conjugate.
Penny Nom lui répond.
A quadratic equation with odd coefficients 2008-04-15
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 2008-04-10
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 2007-10-07
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 2007-08-12
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 2007-06-11
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 2007-06-05
Stuart pose la question :
Solve the following quadratic equation: 3xsquared-5x-4=0
Stephen La Rocque lui répond.
Intersection of a line and a circle 2007-04-12
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 2007-02-01
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 2006-12-22
Harold pose la question :
L=3w-4
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
(3w-4) x w=96

could you give me an example

Stephen La Rocque lui répond.
The roots of a quadratic equation 2006-11-16
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? 2006-09-19
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 2005-01-22
Kris pose la question :
solve the equation
cos 2x = sin x for 0<= x < 360

Penny Nom lui répond.
x^2 = x + 2 2004-07-26
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 2004-07-15
A student pose la question :
Could you please solve the following for x

x2+6=5x
x2+16=8x
2x+21=3x2

Penny Nom lui répond.
The product of the page numbers 2003-11-07
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.
x-6square root of x +8=0 2003-05-10
Elizabeth pose la question :
x-6square root of x +8=0
Penny Nom lui répond.
Why quadratic? 2003-01-21
Dan pose la question :
Why are equations of the form aX2 + bX + c =0 call quadratic? The quad indicates 4 but the power is 2.
Penny Nom lui répond.
Quadratic equations 2002-12-10
Katie pose la question :
just bugging the hell outta me and I cannot figure it out for the life of me.

1)x-2x-1 =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 2002-10-06
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 right-angled triangle 2001-12-13
Pamela, Jeff, Kayleigh and Jacob pose la question :
A right-angled 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 2001-03-11
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 2000-04-16
A secondary student pose la question :
How do I find the equation for the quadratic with roots at 2-i and its complex conjugate?
Harley Weston lui répond.
Quadratic 2000-01-26
Karen Johnson pose la question :
What is the reasoning behind the title quadratic equation?
Penny Nom lui répond.
Derive the quadratic equation 2000-01-01
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 1999-04-22
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 1999-03-31
Ken Niebergall pose la question :
#1 a2 - 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 1999-03-08
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. 1997-12-28
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? 1997-03-19
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.
 
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