For the quadratic equation

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

For the quadratic equation ax2+bx+c=0ax^{2}+bx+c=0, which of the following conditions on the discriminant guarantees that the equation has two distinct real roots? (a) b2−4ac=0b^{2}-4ac=0 (b) b2+4ac>0b^{2}+4ac>0 (c) b2−4ac>0b^{2}-4ac>0 (d) b2−4ac<0b^{2}-4ac<0

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