Solve for the real values of x and y in the equation yi (2x + ) = (1 - i) ^3

x = - 0.5

y = 2

Step-by-step explanation:

As per the given question,

We have

yi (2x + i) = (1 - i) ³

Expand it by using cubic identity

Cubic Identity:

(x-y) ³ = x³ + 3xy² - 3x²y - y³

Therefore, we get

yi (2x + i) = (1³ + 3i² - 3i - i³)

2xy i + y i² = 1 - 3 - 3i + i

(As i² = - 1)

2xy i - y = - 2i - 2

On comparing the real and imaginary parts on both side, we get

2xy = - 2

And

y = 2

Therefore,

x = - 0.5

Hence, the required value of x = - 0.5 and y = 2.