Question

What are the minimum and maximum numbers of distinct real roots a quadratic equation can have?​

• A. 0, 1
• B. 1, 2
• C. 0, 2
• D. 1, 1

Answer 1

The correct option is C

0, 2

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

If discriminant D = $b^2–4ac>0$, it has 2 distinct real roots.

If D < 0, the quadratic equation has no real roots.

Therefore, minimum real roots = 0

Maximum real roots = 2