Question

The quadratic equation $3x^2-\sqrt{7}x+\frac{3}{2}=0$ has

• A. Two distinct real roots
• B. Two equal real roots
• C. No real roots
• D. More than two real roots

Answer 1

The correct option is C No real roots

The given quadratic equation is $3x^2-\sqrt{7}x+\frac{3}{2}=0$
Here, $a=3,b=-\sqrt{7}$ and $c=\frac{3}{2}$
$D=b^2-4ac$
$=(-\sqrt{7}{)}^2-4\times 3\times \frac{3}{2}$
$=7-18$
$=-11<0$
Thus, the quadratic equation has no real roots.
Hence, the correct answer is option (3).