Which of the following quadratic equations correctly models the statement: "The sum…

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

Problem

Which of the following quadratic equations correctly models the statement: "The sum of the squares of two consecutive integers is 85," where xx denotes the smaller integer? (a) 2x2+2x=852x^{2}+2x=85 (b) x2+2x−85=0x^{2}+2x-85=0 (c) 2x2+4x−81=02x^{2}+4x-81=0 (d) 2x2+2x+1=852x^{2}+2x+1=85

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