Difference between revisions of "1959 AHSME Problems/Problem 34"
Toinfinity (talk | contribs) (Created page with "==Problem 34== Let the roots of <math>x^2-3x+1=0</math> be <math>r</math> and <math>s</math>. Then the expression <math>r^2+s^2</math> is: <math>\textbf{(A)}\ \text{a positive...") |
(No difference)
|
Revision as of 08:37, 14 June 2019
Problem 34
Let the roots of be and . Then the expression is:
Solution
You may recognize that can be written as . Then, by Vieta's formulas, and Therefore, plugging in the values for and , Hence, we can say that the expression is .