Question

what mean z^2.. it mean square like usual? this topic in complex number

Answer 1

I'm not understanding your question...

Answer 2

if z = a+bi

then z^2 = (a+bi)^2 = a^2 + 2abi + b^2i^2

but remember that i^2 = -1, so b^2i^2 turns into b^2(-1) = -b^2

Answer 3

so

z^2 = a^2 + 2abi - b^2

Answer 4

thnx

Answer 5

yw

Answer 6

if this quetion want values of z and it give z^2= 8+6i??

Answer 7

this would mean that

z^2= 8+6i

a^2 + 2abi - b^2 = 8+6i

separate the real and imaginary parts to get

a^2 - b^2 = 8

2abi = 6i ---> 2ab = 6

Answer 8

so you have a system of equations, which you can use to solve for a and b

Answer 9

effectively, you are finding the square root of w = 8+6i

ie, z^2 = w