Question

Solve: x^2 - 7x = -13

Answer 1

`x^2-7x=-13`

Rewrite the equation as:

`x^2-7x+13=0`

use the quadratic formula:

`\begin{gathered} ax^2+bx+c=0 \\ x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \end{gathered}`

so:

`\begin{gathered} x=\frac{-(-7)\pm\sqrt[]{(-7)^2-4(1)(13)}}{2(1)} \\ x=\frac{-7\pm\sqrt[]{49-52}}{2} \\ x=\frac{-7\pm\sqrt[]{-3}}{2} \\ x=(1)/(2)(7\pm\sqrt[]{3}i) \end{gathered}`