MathDB
Value of a+c

Source: 1966 AHSME #30

August 31, 2011
VietaAMC

Problem Statement

If three of the roots of x4+ax2+bx+c=0x^4+ax^2+bx+c=0 are 11, 22, and 33, then the value of a+ca+c is:
(A) 35(B) 24(C) 12(D) 61(E) 63\text{(A)}\ 35 \qquad \text{(B)}\ 24\qquad \text{(C)}\ -12\qquad \text{(D)}\ -61 \qquad \text{(E)}\ -63