Question

The equation (x – 2)2 + 1 = 2x – 3 is:

Options

• linear equation

• quadratic equation

• cubic equation

• bi-quadratic equation

Answer 1

quadratic equation

Explanation:

We have (x – 2)² + 1 = 2x – 3

⇒ x² + 4 – 2 × x × 2 + 1 = 2x – 3

⇒ x² – 4x + 5 – 2x + 3 = 0

∴ x² – 6x + 8 = 0, which is a quadratic equation.