Question

The question says solve for x Express as exact roots

Answer 1

Solve for x

$\begin{gathered} 6x^2-11x=10 \\ 6x^2-11x-10=0 \end{gathered}$

Let's solve the equation step-by-step.

$6x^2-11x-10=0$

For this equation: a=6, b=-11, c= -10

Step 1: Use quadratic formula with a=6, b=-11, c=-10.

$\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \\ \\ x=\frac{-(-11)\pm\sqrt[]{(-11)^2^{}-4\times6\times-10}}{2\times6} \\ \\ x=\frac{11\pm\sqrt[]{361}}{12} \\ \\ x=\frac{5}{2\text{ }}\text{ or x=}-\frac{2}{3} \end{gathered}$

Answer

$x=\frac{5}{2\text{ }}\text{ or x=}-\frac{2}{3}$