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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
  • 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