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Find the equation whose roots are \(\frac{3}{4}\) and -4

Mathematics
WAEC 2015
Find the equation whose roots are \(\frac{3}{4}\) and -4
  • A. 4x2 - 13x + 12 = 0
  • B. 4x2 - 13x - 12 = 0
  • C. 4x2 + 13x - 12 = 0
  • D. 4x2 + 13x + 12 = 0
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Correct Answer: Option C
Explanation
Let x = \(\frac{3}{4}\) or x = -4

i.e. 4x = 3 or x = -4

(4x - 3)(x + 4) = 0

therefore, 4x2 + 13x - 12 = 0
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