Question

Determine the nature of the roots of the given quadratic equation
$2x^2+x-1=0$

Answer 1

The given quadratic equation is $2x^2+x-1=0$

Here, $a=2,b=1,c=-1$

$\therefore D=b^2-4ac=1^2-4\times 2\times -1=9$

Since $D\ne 0$, therefore roots of the given equation are real and distinct.