Question

Find the nature of roots of the following quadratic equations: 

`12x^2-4sqrt15x+5=0` 

Answer 1

The given equation is `12x^2-4sqrt15+5=0` 

This is of the form `ax^2+bx+c=0` where `a=5, b=-10 and c=6` 

∴Discriminant, `D=b^2-4ac=(-4sqrt15)^2-4xx12xx5=240-240=0` 

Hence, the given equation has real and equal roots.