Question

A quadratic equation has two distinct real roots if the value of its discriminant is _________ zero. *

Answer 1

Step-by-step explanation:

A quadratic equation, ax2 + bx + c = 0; a ≠ 0 will have two distinct real roots if its discriminant, D = b2 - 4ac > 0. Hence, the equation x2 –3x + 4 = 0 has no real roots. Hence, the equation 2x2 + x – 1 = 0 has two distinct real roots.Jun 28, 2017



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Answer 2

A quadratic equation with real coefficients can have either one or two distinct real roots, or two distinct complex roots. In this case the discriminant determines the number and nature of the roots. There are three cases: If the discriminant is positive, then there are two distinct roots.