2023 · Q12
If a, b, c are non-zero real numbers such that a + b + c = 0, then what are the roots of the equation ax² + bx + c = 0?
Elementary MathematicsAlgebra
- A2, 1 + (c/a)
- B1, a/c
- C1, c/a
- D2, (c/a) - 1
Explanation
Since a + b + c = 0, x = 1 satisfies ax² + bx + c = 0, so 1 is a root. For a quadratic, the product of the roots equals c/a, hence the other root is c/a. The roots are 1 and c/a (C).