Question

Check whether the following is the quadratic equation: 

x² - 2x = (-2)(3 - x)

Answer 1

x² - 2x = (-2)(3 - x)

⇒ x² - 2x = -6 + 2x 

⇒ x² - 2x - 2x + 6 = 0

⇒ x² - 4x + 6 = 0

It is of the form ax² + bx + c = 0.

Hence, the given equation is a quadratic equation.