Question

Solve x^2-24x=-50 by completing the square

Answer 1

We have

`x^2-24x=-50`

We need to complete the square

`a^2+2ab+b^2`

in thi case

a=x

2ab=-24x

2xb=-24x

b=-12

`\begin{gathered} x^2-24x+144=-50+144 \\ (x-12)^2=94 \end{gathered}`

Then for each solution we have

`\begin{gathered} x-12=\pm\sqrt[]{94} \\ \end{gathered}`
`\begin{gathered} x_1=12-\sqrt[]{94} \\ x_2=12+\sqrt[]{94} \end{gathered}`