Question

Solve for x. Write both solutions,6x² + 5x - 6= 0

Answer 1

The equation given is,

`6x²\:+\:5x\:-\:6=\:0`

Solve with quadratic formula

`\begin{gathered} x_(1,\:2)=(-5\pm √(5^2-4\cdot \:6\left(-6\right)))/(2\cdot \:6) \\ x_(1,\:2)=(-5\pm \:13)/(2\cdot \:6) \\ \mathrm{Separate\:the\:solutions} \\ x_1=(-5+13)/(2\cdot \:6),\:x_2=(-5-13)/(2\cdot \:6) \\ x=(2)/(3),\:x=-(3)/(2) \\ \mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:} \\ x=(2)/(3),\:x=-(3)/(2) \end{gathered}`

Hence,

`x=(2)/(3),\:x=-(3)/(2)`