Find the equation whose roots are \(-\frac{2}{3}\) and 3
- 3x2+11x-6=0
- 3x2+7x+6=0
- 3x2-11x-6=0
-
3x2-7x-6=0
The correct answer is: D
Explanation
\(x = -\frac{2}{3} \implies x + \frac{2}{3} = 0\)
\(x = 3 \implies x - 3 = 0\)
\(\implies (x - 3)(x + \frac{2}{3}) = 0\)
\(x^2 - 3x + \frac{2}{3}x - 2 = 0\)
\(x^2 - \frac{7}{3}x - 2 = 0\)
\(3x^2 - 7x - 6 = 0\)