Question

I don't get what it mean by ''real numbers a and b''

solve the following equation for the real numbers a and b.

((1+i)/(1-i))^2+(1/(a+ib))=1+i

Answer 1

thats because you are a victim of bad naming ...

Answer 2

real numbers are numbers found on the real number line ...

Answer 3

Complex numbers come in the form a+bi so they want you to simplify the expression to the form a+bi

Answer 4

so they just want to simplify it right?

Answer 5

yep

Answer 6

it is just saying solve for a and b but since you are working with complex numbers they are specifying that a and b are real numbers and not say
\[a=x+iy\] for example

Answer 7

they could have written
\[(\frac{1-i}{1+i})^2+\frac{1}{z}=1+i\] solve for z