# 1971 AHSME Problems/Problem 20

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## Problem

The sum of the squares of the roots of the equation is . The absolute value of is equal to

## Solution

We can rewrite the equation as By Vieta's Formulas, the sum of the roots is and the product of the roots is

Let the two roots be and Note that

Therefore, and This doesn't match any of the answer choices, so the answer is

-edited by coolmath34