Find the equation whose roots are -2/3 and -1/4
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A.
12x2 + 11x + 2 = 0 -
B.
12x2 – 11x + 2 = 0 -
C.
x2 – 11/12x + 2 = 0 -
D.
12x2 – 11x – 2 = 0 -
E.
x2 – 11/12x – 2 = 0
Correct Answer: Option A
Explanation
x = (-frac{2}{3}) and (-frac{1}{4})
(implies (x + frac{2}{3}) = 0; (x + frac{1}{4}) = 0)
((x + frac{2}{3})(x + frac{1}{4}) = 0)
(x^{2} + frac{1}{4}x + frac{2}{3}x + frac{1}{6} = 0)
(x^2 + frac{11}{12}x + frac{1}{6} = 0)
(12x^2 + 11x + 2 = 0)