Question

Find the nature of the roots of the following quadratic equation: 

`12x^2 - 4sqrt(15)x + 5 = 0`

Answer 1

The given equation is `12x^2 - 4sqrt(15)x + 5 = 0`

This is of the form ax² + bx + c = 0, where a = 12, b = `-4sqrt(15)` and c = 5

∴ Discriminant, D = b² – 4ac

= `(-4sqrt(15))^2 - 4 xx 12 xx 5`

= 240 – 240

= 0

Hence, the given equation has real and equal roots.