Find The quadratic Equation Whose Roots Are -2q And 5q.
MATHEMATICS
WAEC 2021
Find The quadratic Equation Whose Roots Are -2q And 5q.
- A. 3x\(^2\) + 3qx - 10q\(^2\)
- B. x\(^2\) + 3qx + 10q\(^2\)
- C. x\(^2\) - 3qx + 10q\(^2\)
- D. x\(^2\) - 3qx - 10q\(^2\)
Correct Answer: D. x\(^2\) - 3qx - 10q\(^2\)
Explanation
x\(^2\) - (sum of roots)x + (products of roots) = 0
x\(^2\) - (-2q + 5q) + (-2q * 5q) = 0
x\(^2\) -(3q) + (-10q\(^2\)) = 0
x\(^2\) -3q - 10q\(^2\) = 0
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