Question

Find the equation that results from completing the square in the following equation

Answer 1

we have the equation

`x^2+12x-85=0`

step 1

Group similar terms and move the constant term to the right

`(x^2+12x)=85`

step 2

Complete the square

`\begin{gathered} (x^2+12x+6^2-6^2)=85 \\ (x^2+12x+6^2)=85+6^2 \\ (x^2+12x+6^2)=121 \end{gathered}`

step 3

Rewrite as perfect squares

`(x+6)^2=121`