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Solve the equation 10-3x-x2 = 0

Mathematics
WAEC 2004

Solve the equation 10-3x-x2 = 0
  • A. x=2 or-5
  • B. x= -2 or 5
  • C. x = 1 or 10
  • D. x = 2 or 5
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Correct Answer: Option A
Explanation
10 – 3x - x2 = 0; 10 – 5x + 2x - x2 = 0
5(2 – x) + x(2 – x) = 0; (2 – x)(5 + x) = 0
2 – x = 0 or 5 + x = 0; x = 2 or x = -5

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