Difference between revisions of "1971 AHSME Problems/Problem 20"
Coolmath34 (talk | contribs) (Created page with "== Problem == The sum of the squares of the roots of the equation <math>x^2+2hx=3</math> is <math>10</math>. The absolute value of <math>h</math> is equal to <math>\textbf{(...") |
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Latest revision as of 20:09, 28 January 2021
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