# How do you solve the equation -2x^2+10x+22=4 by completing the square?

Mar 19, 2018

${\left(x - 2.5\right)}^{2} - 15.25 = 0$

#### Explanation:

$- 2 {x}^{2} + 10 x + 22 = 4$

$- 2 {x}^{2} + 10 x + 18 = 0$

${x}^{2} - 5 x - 9 = 0$

${\left(x - 2.5\right)}^{2} - {2.5}^{2} - 9 = 0$

${\left(x - 2.5\right)}^{2} - 6.25 - 9 = 0$

${\left(x - 2.5\right)}^{2} - 15.25 = 0$