Question

Solve the following quadratic equation:

x² + 6x + 5 = 0

Answer 1

We write, 6x = x + 5x as x² × 5 = 5x² = x × 5x 

∴ x² + 6x + 5 = 0 

⇒ x² + x – 5x + 5 = 0 

⇒ x(x + 1) + 5(x + 1) = 0 

⇒ (x + 1)(x + 5) = 0 

⇒ x + 1 = 0 or x + 5 = 0 

 ⇒ x = –1 or x = –5 

Hence, the roots of the given equation are –1 and –5.