# How do you solve # x^2 – 8x = –16# by completing the square?

##### 1 Answer

Aug 1, 2017

#### Explanation:

#rArrx^2-8x+16=0#

#"completing the square involves adding half the coefficient"#

#"of the x-term squared to " x^2-8x#

#"that is "(-4)^2=16#

#x^2-8x+16" is already in that form"#

#rArr(x-4)^2=0#

#rArrx=4" of multiplicity 2"#