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5sqrt( z+7) = sqrt(10-z)Find z

1 Answer

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We have the next equation


5\sqrt[]{z+7}=\sqrt[]{10-z}

First we need to square both sides


(5√(z+7))^2=(\sqrt[]{10-z})^2

we simplify


5^2(z+7)=10-z


25(z+7)=10-z
25z+175=10-z

Then we need sum like terms


25z+z=-175+10


26z=-165

Then we isolate the z


z=-(165)/(26)

User Shixin Zeng
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