Question

Find the roots of the following quadratic equation by the factorisation method:

`2/5x^2 - x - 3/5 = 0`

Answer 1

Given equation is `2/5x^2 - x - 3/5` = 0

On multiplying by 5 on both sides, we get

2x² – 5x – 3 = 0

⇒ 2x² – (6x – x) – 3 = 0  ....[By splitting middle term]

⇒ 2x² – 6x + x – 3 = 0

⇒ 2x(x – 3) + 1(x – 3) = 0

⇒ (x – 3)(2x + 1) = 0

Now, x – 3 = 0

⇒ x = 3

And 2x + 1 = 0

⇒ x = `-1/2`

Hence, the roots of the equation 2x² – 5x – 3 = 0 are `- 1/2` and 3.