2021 · Q74
If the sum as well as the product of the roots of the equation px² − 6x + q = 0 is 6, then what is (p + q) equal to?
Elementary MathematicsAlgebra
- A8
- B7
- C6
- D5
Explanation
For px^2 - 6x + q = 0, the sum of roots is 6/p and the product is q/p. Both are given as 6: 6/p = 6 gives p = 1, and q/p = 6 gives q = 6. Then p + q = 1 + 6 = 7. Hence option (b).