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.
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.
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.
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.
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.
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.
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.
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)
3x2+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?
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.