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

The Quadratic Formula Gives Which Roots For The Equation 3x 3x 2OA Xa 31 V35OB X 3435C 31 155x 34OD 234753 class=

Sagot :

[tex]x\text{ = }\frac{-3\pm\sqrt[]{33}}{6}\text{ (option D)}[/tex]Explanation:

3x^2 + 3x = 2

3x^2 + 3x - 2 = 0

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

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

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

[tex]\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}[/tex][tex]\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}[/tex]

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