On a multiple choice test, Larry is asked to find the solutions to the quadratic

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

Problem

On a multiple choice test, Larry is asked to find the solutions to the quadratic 2x2−4x−7=02x^2 - 4x - 7 = 0. He has the following choices: He quickly circles the correct answer without actually solving the equation. Determine the correct answer without completing the square or using the quadratic formula. (A) 1±3521 \pm \frac{3\sqrt{5}}{2} (B) 1±3221 \pm \frac{3\sqrt{2}}{2} (C) 1±3321 \pm \frac{3\sqrt{3}}{2}

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