Question

13. Check whether the given equation is quadratic equation: (x-3) (2x + 1) = x(x + 5)​

Answer 1

Step-by-step explanation:

We have:

(x – 3) (2x + 1) = x(x + 5)

⇒ 2x2 + x – 6x – 3 = x2 + 5x

⇒ 2x2 – 5x – 3 – x2 – 5x – 0

⇒ x2 + 10x – 3 = 0

Since x2 + 10x – 3 is a quadratic polynomial

∴ (x – 3) (2x + 1) = x(x + 5) is a quadratic equation.