# 1965 AHSME Problems/Problem 7

Revision as of 12:23, 12 March 2017 by Crocodile 40 (talk | contribs) (Created page with "Using Vieta's formulas, we can write the sum of the roots of any quadratic equation in the form <math>ax^2+bx+c = 0</math> as <math>\frac{-b}{a}</math>, and the product as <ma...")

Using Vieta's formulas, we can write the sum of the roots of any quadratic equation in the form as , and the product as .

If and are the roots, then the sum of the reciprocals of the roots is .

Applying the formulas, we get , or => $\box{a}$ (Error compiling LaTeX. ! Missing number, treated as zero.).