Consider the quadratic equations: I

MATHEMATICS · Single correct · AoPS · Mathematics · Quadratic Equations - Part 1 · Quadratic Equations - Part 1

Problem

Consider the quadratic equations: I. x2+4x+5=0x^2 + 4x + 5 = 0 II. 3x2−12x+12=03x^2 - 12x + 12 = 0 III. 2x2−5x+2=02x^2 - 5x + 2 = 0 Which option correctly states the number of distinct real roots of I, II and III respectively? (a) 0, 2, 10,\,2,\,1 (b) 0, 1, 20,\,1,\,2 (c) 2, 1, 22,\,1,\,2 (d) 1, 0, 21,\,0,\,2

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