2022 · Q45
How many quadratic equations have the sum of their roots equal to the product of their roots?
Elementary MathematicsAlgebra
- AZero
- BOne
- CTwo
- DInfinitely many
Explanation
Sum = product means -b/a = c/a, i.e. c = -b, with a ≠ 0 and b arbitrary - infinitely many quadratics satisfy this. Hence the keyed option is D.