Consider the quadratic equation

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

Problem

Consider the quadratic equation x2+(m−3)x+(m+2)=0x^{2} + (m - 3)x + (m + 2) = 0. Which of the following is the smallest positive integer value of mm for which the equation has two distinct real roots? (a) 9 (b) 5 (c) 10 (d) 7

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