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√(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)`