Find the roots of the following quadratic equation:
Question:

Find the roots of the following quadratic equation:

$\frac{2}{5} x^{2}-x-\frac{3}{5}=0$

Solution:

It is given that:

$\frac{2}{5} x^{2}-x-\frac{3}{5}=0$

We have to find the roots of above equation.

$\frac{2}{5} x^{2}-x-\frac{3}{5}=0$

Multiplying both sides by 5

$2 x^{2}-5 x-3=20$

$2 x^{2}-6 x+x-3=0$

$2 x(x-3)+1(x-3)=0$

$(x-3)(2 x+1)=0$

$x=3, x=-\frac{1}{2}$

Therefore the roots of the equation are : $3,-\frac{1}{2}$