Find the equation whose roots are -2/3 and -1/4
- A.
12x^{2} + 11x + 2 = 0 - B.
12x^{2} – 11x + 2 = 0 - C.
x^{2} – 11/12x + 2 = 0 - D.
12x^{2} – 11x – 2 = 0 - E.
x^{2} – 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)