Riley hobson bence · Problem 1.30

Preliminary algebra

Mathematics — Methods · necessary-sufficient-conditions-quadratic

Problem

Prove that the equation ax2+bx+c=0ax^2 + bx + c = 0, in which aa, bb and cc are real and a>0a > 0, has two real distinct solutions IFF b2>4acb^2 > 4ac.

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