Question

I need help to solve this problem √x+4-1 =8 it's a radical equation

Answer 1

x = 77

Explanation:

`√(x+4)-1=8\\\\\text{Domain:}\ x+4\geq0\to x\geq-4\\\\√(x+4)-1=8\qquad\text{add 1 to both sides}\\\\√(x+4)=9\qquad\text{square both sides}\\\\\left(√(x+4)\right)^2=9^2\\\\x+4=81\qquad\text{subtract 4 from both sides}\\\\x=77\in D`