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Find the equation whose roots are -2/3 and -1/4
...

Find the equation whose roots are -2/3 and -1/4

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

View answer & explanation

Correct answer is A

x = $-\frac{2}{3}$ and $-\frac{1}{4}$

$\implies (x + \frac{2}{3}) = 0; (x + \frac{1}{4}) = 0$

$(x + \frac{2}{3})(x + \frac{1}{4}) = 0$

$x^{2} + \frac{1}{4}x + \frac{2}{3}x + \frac{1}{6} = 0$

$x^2 + \frac{11}{12}x + \frac{1}{6} = 0$

$12x^2 + 11x + 2 = 0$

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