Question

Solve the following quadratic equation:

2x² + x – 6 = 0

Answer 1

We write, x = 4x – 3x as 2x² × (–6) = –12x² = 4x × (–3x) 

∴ 2x² + x – 6 = 0 

⇒ 2x² + 4x – 3x – 6 = 0 

⇒ 2x(x + 2) – 3(x + 2) = 0 

⇒ (x + 2)(2x – 3) = 0 

⇒ x + 2 = 0 or 2x – 3 = 0 

⇒ x = –2 or x = `3/2` 

Hence, the roots of the given equation are –2 and `3/2`.