Find the equation whose roots are (-frac{2}{3}) and 3
-
A.
3x2+11x-6=0 -
B.
3x2+7x+6=0 -
C.
3x2-11x-6=0 -
D.
3x2-7x-6=0
Correct Answer: Option D
Explanation
(x = -frac{2}{3} implies x + frac{2}{3} = 0)
(x = 3 implies x – 3 = 0)
(implies (x – 3)(x + frac{2}{3}) = 0)
(x^2 – 3x + frac{2}{3}x – 2 = 0)
(x^2 – frac{7}{3}x – 2 = 0)
(3x^2 – 7x – 6 = 0)