Question

Solve the equation for all values of x by completing the squarex²-14x+32=0

Answer 1

Given

`\begin{gathered} x^2-14x+32=0 \\ x^2-14x+49-49+32=0 \\ (x-7)^2=49-32 \\ (x-7)^2=17 \\ x-7=\pm\sqrt[]{17} \\ \\ x=7-\sqrt[]{7} \\ x=7+\sqrt[]{7} \end{gathered}`