# How do you solve using the completing the square method #y^2 - 7y = -10#?

##### 1 Answer

May 18, 2017

#y=5#

#y=2#

#### Explanation:

#y^2-7y=-10#

#y^2-7y+49/4=-10+49/4=(-40+49)/4=9/4#

#(y-7/2)^2=9/4#

#y-7/2=+-sqrt(9/4)=3/2#

#y=3/2+7/2=10/2=5#

#y=-3/2+7/2=4/2=2#

#y=5#

#y=2#