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Solve the equation x\(^2\) - 3x - 10 = 0

Mathematics
NECO 2001

Solve the equation x\(^2\) - 3x - 10 = 0

  • A. -2 or -5
  • B. -3 or -10
  • C. 5 or -2
  • D. 2 or 5
  • E. 3 or 10
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Correct Answer: Option C
Explanation

x\(^2\) - 3x - 10 = 0

Using factorisation method:  x\(^2\) - 3x - 10 = 0 becomes

  x\(^2\) - 5x + 2x - 10 = 0

(x\(^2\) - 5x) + (2x - 10) = 0

x(x - 5) + 2(x -5) = 0

x - 5 = 0 or x + 2 = 0

\(\therefore\) x = 5 or -2

 


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