For the quadratic equation to have two distinct real roots

MATHEMATICS · Single correct · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

For the quadratic equation x2+(p−4)x+2p=0x^{2} + (p - 4)x + 2p = 0 to have two distinct real roots, which one of the following conditions on pp is correct? (a) (p−4)2+8p>0(p - 4)^{2} + 8p > 0 (b) (p−4)2−4p>0(p - 4)^{2} - 4p > 0 (c) (p−4)2−8p>0(p - 4)^{2} - 8p > 0 (d) (p−4)2−8p≥0(p - 4)^{2} - 8p \ge 0

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