Question

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

Answer 1

We have the next equation

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

First we need to square both sides

$(5\sqrt{z+7})^2=(\sqrt[]{10-z})^2$

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

$z=-\frac{165}{26}$