SOLUTION: can you help with this problem I really don't understand it and how to solve it (y+6)^2-75=0 solving an equation with exponent using the even-root property where y is an real nu

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Question 326988: can you help with this problem I really don't understand it and how to solve it
(y+6)^2-75=0
solving an equation with exponent using the even-root property where y is an real number
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

%28y%2B6%29%5E2-75=0

Get the squared term %28y%2B6%29%5E2 by itself on the left side
by adding 75 to both sides

%28y%2B6%29%5E2=75

Take non-negative square roots of both sides

sqrt%28%28y%2B6%29%5E2%29=+sqrt%2875%29

abs%28y%2B6%29=sqrt%2825%2A3%29

abs%28y%2B6%29=sqrt%2825%29%2Asqrt%283%29

abs%28y%2B6%29=5%2Asqrt%283%29



Edwin