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\(^2\)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
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
Source: WAEC / JAMB / NECO Classroom Archive (Record #61232)