Question

Find the roots for the quadratic equation using factoring 6x^{2} + 144

Answer 1

We have the following:

`6x^2+144`

solving:

`\begin{gathered} 6x^2+144-144=-144 \\ (6)/(6)x^2=-(144)/(6) \\ x^2=-24 \\ x=\pm\sqrt[]{-24} \\ x_1=\sqrt[]{-24}=2\sqrt[]{-6}=2\sqrt[]{6}i \\ x_2=-\sqrt[]{-24}=-2\sqrt[]{-6}=-2\sqrt[]{6}i \end{gathered}`