is (x+1)^2 = 2 (x-3) a quadratic equation

Answer 1

(x+1)² = 2(x-3) is a quadratic equation

x² + 2x + 1 = 2x - 6

Subtracting 2x on both sides

x² + 2x + 1 - 2x = 2x - 6 - 2x

x² + 1 = - 6

Subtracting 1 on both sides

x² + 1 - 1 = - 6 - 1

x² = - 7

x = √-7 and x = - √-7√

√-1 = i

x = √7i and x = -√7i