Question

The Quadratic Formula gives which roots for the equation 3x + 3x - 2?OA. xa 31 v35OB. x = -34/35C. *- -31 155x. 34OD. 2.-34753

Answer 1

`x\text{ = }\frac{-3\pm\sqrt[]{33}}{6}\text{ (option D)}`Step-by-step explanation:

3x^2 + 3x = 2

3x^2 + 3x - 2 = 0

The above quadratic equation can't e factorised. We would aplly the almighty formula:

`x\text{ = }\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}`

a = 3, b = 3, c = -2

`\begin{gathered} x\text{ = }\frac{-3\pm\sqrt[]{3^2-4(3)(-2)}}{2(3)} \\ x\text{ = }\frac{-3\pm\sqrt[]{9+24}}{6} \end{gathered}`
`\begin{gathered} x\text{ = }\frac{-3\pm\sqrt[]{33}}{6}\text{ } \\ x\text{ = }\frac{-3+\sqrt[]{33}}{6}or\text{ }\frac{-3-\sqrt[]{33}}{6} \\ x\text{ = }\frac{-3\pm\sqrt[]{33}}{6}\text{ (option D)} \end{gathered}`