Question

x+iy=a+ib/a-ib,prove that x^2​

Answer 1

Answer:

Hope so it is helping u

Step-by-step explanation:

X+iy = a + ib / a - ib

On rationalizing RHS we get

x + iy = a^2-b^2+2abi/a^2+b^2

Comparing real part

X= a^2-b^2/a^2 + b^2

X^2= {a^2-b^2/a^2+b^2}^2

Answer 2

Answer:

x+iy = a+ib/ a-ib

=( a+ib)(a+ib)/ (a-ib)(a+ib)

= a²+2abi-b²/a²+b²

= a²-b²/a²+b²+i2ab/a²+b²

on comparing real and imaginary part,

we get,

x= a²-b²/a²+b²

x²= (a²-b²/a²+b²)²= a⁴-2a²b²+ b⁴/ a⁴+2a²b²+b⁴

hope it helps ✨✨