Question

Find the nature of the root of quadratic equation (x+5)²=2 (5x-3)

Answer 1

Answer:

The nature of the root = Complex Conjugate of each other

Step-by-step explanation:

(x+5)²=2 (5x-3)

x² + 25 + 10x = 10x - 6

x² + 25 + 10x - 10x +6 = 0

x² + 31 = 0

x² = -31

The nature of the root = Complex Conjugate of each other

Roots are $\sqrt{31}i$  & $-\sqrt{31}i$