Question

Solve: 2x² + ax – a² = 0.

Answer 1

2x² + ax – a² = 0

⇒ 2x² + 2ax – ax – a² = 0

⇒ 2x(x + a) – a(x + a) = 0 

⇒ (x + a)(2x – a) = 0 

⇒ x + a = 0 or 2x – a = 0 

⇒ `x = -a` or `x = a/2` 

Hence, `-a` and `a/2` are the roots of the given equation.