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

Find the equation whose roots are \(\frac{3}{4}\) and -4
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  • A 4x2 - 13x + 12 = 0
  • B 4x2 - 13x - 12 = 0
  • C 4x2 + 13x - 12 = 0
  • D 4x2 + 13x + 12 = 0
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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