







x^2 = 16 
20161212 

A student pose la question : x to the second power = 16
what number solves the equation? Penny Nom lui répond. 





I started with Euler's identity and manipulated it 
20111114 

anonymous pose la question : I started with Euler's identity and manipulated it
e^i*pi=1
e^i*pi=(1)^1
e^i*pi=1
e^i*i*pi=(1)^i
e^pi=(1)^i
e^pi=(1)^i
type it in in a calculator and you get e^pi=23.1406926... and
(1)^i=0.0432139183... What did I do wrong? Robert Dawson lui répond. 





i^i 
20101121 

trale pose la question : Can we use e^ix=cosx+isinx for finding i^i like that: x= pi/2 =>
e^(ipi/2)=0+i then [e^(ipi/2)]^i=i^i.then we find i^i= 0,207879576....
is it true? can we give value for x for free?thank you. Harley Weston lui répond. 





A Squared Number That's Negative 
20100922 

David pose la question : What is the only number that when it's squared becomes negative? Stephen La Rocque 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. 





Zeros of a polynomial 
20100301 

Gavin pose la question : Suppose the polynomial R(x) = a_9x^9+a_8x^8+...+a_1x+a_0 has real coefficients with a_9≠0. Suppose also that R(x) has the following zeros:
2,
3,
i
Using this info, answer the following.
a. What is another zero of R(x)?
b. At most how many real zeros of R(x) are there?
c. At most how many imaginary zeros of R(x) are there?
p.s. I used _ for subscript
thanks so much Harley Weston lui répond. 





Factor 9x^2 + 6x + 4 
20081121 

Jonah pose la question : how can i solve this by factoring: 9x^2 + 6x + 4 Harley Weston lui répond. 





Real and imaginary zeros 
20081112 

David pose la question : Find all the real and imaginary zeros for each polynomial. Factor each polynomial. Leave factors with imaginary zeros in quadratic form.
h(x)= x^5 +2x^4  10x^3 20x^2 +9x + 18 Harley Weston lui répond. 





A quadratic 
20081027 

Giselle pose la question : 3x squared minus 2x equals 5 Penny Nom 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. 





A complex quadratic 
20080218 

Ash pose la question : z^2(6+2i)z+(8+6i)=0
Solve for Z Steve La Rocque and Penny Nom lui répond. 





Imaginary roots 
20071209 

Josh pose la question : What is the correlation between imaginary roots (of a quadratic or other
polynomial equation) and the graph of the equation? As in, how can one
represent imaginary solutions graphically (and why does that work)? Harley Weston lui répond. 





Simplifying complex denominators 
20070621 

Krys pose la question : How do I simplify completely?
((4+i ) / (3+i ))  ((2i ) / (5i )) Stephen La Rocque lui répond. 





The absolute value of imaginary and complex numbers 
20061211 

Keith pose la question : i don't get how to find the absolute value of imaginary and complex numbers here is an examples from the text book the answers are given but they don't show the work so i can follow along just show me the work please and explain how it is done
problem 3+4i Stephen La Rocque and Penny Nom lui répond. 





how do i find i^22? 
20060612 

Sky pose la question : how do i find i^{22}?
Sky Stephen La Rocque lui répond. 





The square root of i 
20051130 

Kevin pose la question :
If the square root of 1 is i, what is the square root of i?
How can you find the log of a negative number?
What is the log of 1?
Claude Tardif lui répond. 





A graph with certain properties 
20041122 

A student pose la question : i was asked as a question in coursework to sketch the graph with the following characteristics:
a double root at 3
a pair of imaginary roots
an xintercept at 6
a root at 4 which is not a double root Penny Nom lui répond. 





Imaginary roots of a ploynomial 
20041031 

Jennifer pose la question : how to find the roots of a polynomial equation if it would be imaginary? Harley Weston lui répond. 





(a+b) + 5i = 9 + ai 
20040625 

Josh pose la question : The question which someone gave you (a+b) + 5i = 9 + ai question) gave me trouble. Penny Nom lui répond. 





3+4i abd 3+4i 
20040617 

Sandy pose la question : how would you do a question like 3+4i? is that different than just doing 3+4i? Penny Nom lui répond. 





Real numbers 
20030509 

Sirena pose la question : what is a "real" number Penny Nom lui répond. 





a+b=10 and ab=40 
20020427 

April pose la question : What two numbers add to ten and multiply to forty? (a+b=10, a*b=40) I think the answer includes radicals and/or imaginary numbers. Penny Nom lui répond. 





The square root of i 
20020314 

Arlene pose la question : what is the square root of i, if i=x+yi? what is the square root of 1i? i'm getting problems like these in which I do not understand. Harley Weston lui répond. 





e^{ix} = cosx + isinx 
20011010 

Peter pose la question : Given: e^{ix} = cosx + isinx  substitute x for x to find e^{ix}, simplifying your answer
 use the given and part a to find an identity for cosx making no reference to trig functions
 find an identity for sinx
 .
 .
Penny Nom lui répond. 





Some complex problems 
20010115 

Nick pose la question : I am having enormous difficulty with one question in my maths homework. The question is shown below. If anybody out there can find the answers and show the workings and help me to understand. Harley Weston lui répond. 





A complex calculation 
20001124 

Angie pose la question : Multiply (32i)^{2}=3^{2}2(3)(2i)+(2i)^{2} Penny Nom lui répond. 





The magnitude of a complex number 
20001111 

Jeremy pose la question : Recently, we started studying how to graph complex numbers. Our math teacher said to use what would normally be the xaxis as the realaxis and to use the yaxis as the imaginaryaxis. However, when he started talking about how to calculate magnitude, that's when I became confused. For instance... Walter Whiteley lui répond. 





Powers of i 
20000524 

Paul Fieldhouse pose la question : What is the result of raising i to the googol power? is there a rule or pattern to raising i by increasing powers of 10? Penny Nom lui répond. 





The square root of 1 
20000519 

Gary pose la question : i am not a student i am just some one that heard something and i can't be sure on the answer...my ? is what is the square root of 1? i think it is 1 but not sure can you let me know please thank you Harley Weston lui répond. 





root(1)* root(1) 
20000320 

Michael Moran pose la question : i squared = 1 but i squared = root(1)* root(1) = root( 1*1) = root(1) = 1 1 doesn't = 1 can you help me with my question Claude Tardif lui répond. 





Complex Roots 
20000124 

Jess Rutherford pose la question : How do I find the value of k when 5x^{2} + k = 3x and has complex roots ? Penny Nom lui répond. 





Complex numbers/polar coordinates 
19990325 

Kate Cegelis pose la question : What is the relationship between complex numbers and polar coordinates? Harley Weston lui répond. 





Complex numbers and the quadratic formula 
19981225 

Richard Peter pose la question : My age is 16, and my name is Richard. My question relates to the topic complex numbers & the quadratic formula. I would like to know how to solve quadratic equations in which the discriminant is less than 0 (i.e. we get two complex solutions to the quadratic) 3x^{2}+2x+5 = 0 and how mathematicians like euler contributed to this field. If it would be possible I would also like to know how this type of quadratic equations can be graphed? Harley Weston lui répond. 





Complex Numbers 
19981223 

Wayne Bagley pose la question : I would like to know what is the square root of i , and i squared? I am looking for a response appropriate for secondary level students. Harley Weston lui répond. 





Multiplying imaginary numbers. 
19971103 

Jim Catton pose la question : Here is the question: (square root 2) x (square root 8) My algebra suggests two possibilities . . .
Walter Whiteley, Chris Fisfer and Harley Weston lui répond. 





How do you raise a number to an imaginary/complex power? 
19960703 

Andy Golden pose la question : How do you raise a number to an imaginary/complex power? I know how you raise "e" to a complex power, like e^(pi*i): cos pi + i * sin pi But what about numbers other than "e"? What if I want to raise 5 to the 2i power? How is that done? Chris Fisher lui répond. 

