Question

Find the nature of roots of a quadratic equation, if its discriminant is equal to 4.

• A. Two distinct real roots
• B. Two equal roots
• C. No real roots
• D. Cannot be determined

Answer 1

The correct option is A

Two distinct real roots

For a quadratic equation $a{x}^2+bx+c=0$,

discriminant, D = $b^2–4ac$.

We know that if

(i) D > 0, the equation will have two distinct real roots

(ii) D = 0, the equation will have two equal roots

(iii) D < 0, the equation will have no real roots

Here, since D = 4 > 0, the quadratic equation will have two distinct real roots.