Answer:
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.
