2012 · Q42
If one root of the equation x^2/a + x/b + 1/c = 0 is reciprocal of the other, then which one of the following is correct?
Elementary MathematicsAlgebra
- Aa = b
- Bb = c
- Cac = 1
- Da = c
Explanation
Product of roots = (1/c)/(1/a) = a/c = 1 (since roots are reciprocals), so a = c.