Question

Solve x^2+ 14× = 80 by completing the square. If there are multiple answers, list them separated by a comma (e.g.,1,2) Note: If there is no solution, enter Ø.

Answer 1

We have the following:

`x^2+14x=80`

solving:

`\begin{gathered} x^2+14x+7^2=80+7^2 \\ (x+7)^2=129 \\ x+7=\pm\sqrt[]{129} \\ x=\sqrt[]{129}-7 \\ x=-\sqrt[]{129}-7 \end{gathered}`