MathDB
Sum of squares of roots

Source: 1959 AHSME Problem 34

August 14, 2013
Vietairrational numbercomplex numbersimaginary numbersAMCQuadraticAMC 12

Problem Statement

Let the roots of x2−3x+1=0x^2-3x+1=0 be rr and ss. Then the expression r2+s2r^2+s^2 is:
<spanclass=′latex−bold′>(A)</span> a positive integer<spanclass=′latex−bold′>(B)</span> a positive fraction greater than 1<spanclass=′latex−bold′>(C)</span> a positive fraction less than 1 <span class='latex-bold'>(A)</span>\ \text{a positive integer} \qquad<span class='latex-bold'>(B)</span>\ \text{a positive fraction greater than 1}\qquad<span class='latex-bold'>(C)</span>\ \text{a positive fraction less than 1} <spanclass=′latex−bold′>(D)</span> an irrational number<spanclass=′latex−bold′>(E)</span> an imaginary number<span class='latex-bold'>(D)</span>\ \text{an irrational number}\qquad<span class='latex-bold'>(E)</span>\ \text{an imaginary number}
Back to ProblemsView on AoPS