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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\(^2\)
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Correct Answer: Option D
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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