Question

Check whether the roots of the following quadratic equations are real or not?

$3x^2-4\sqrt{3}x+4=0$.

Answer 1

Given the quadratic equation is $3x^2-4\sqrt{3}x+4=0$.

Now discriminant of this equation$\left(D\right)=b^2-4ac$

$D=(-4\sqrt{3}{)}^2-4\times 3\times 4$

$=48-48$

$D=0$.

Since the discriminant is $0$ so the roots of the given quadratic equation are all real and equal.