Question

Find the nature of the roots of quadratic equation 3x² -4√3x +4=0.

Answer 1

$discriminant = {b}^{2} - 4ac$
$= ( - 4 \sqrt{3} )^{2} - 4 \times 4 \times 3 \\ \\ = 48 - 48 = 0$
since D= 0

therefore, nature of the roots of given p(x) are real and equal