Question

State whether the following equation is quadratic equation or not?
x² + 3x + 1 =(x-2)²​

Answer 1

Answer:

This quation is not a quadratic equation

Step-by-step explanation:

We have:

                 x2 + 3x + 1 = (x – 2)2

                 ⇒ x2 + 3x + 1 = x2 – 4x + 4

                 ⇒ x2 + 3x + 1 – x2 + 4x – 4 =0

                 ⇒ 7x – 3 = 0

                 Since 7x – 3 is a linear polynomial.

                 ∴ x2 + 3x + 1 = (x – 2)2 is not a quadratic equation.