Answer:
x=31
Step-by-step explanation:
4+ sqrt (x+5) = 10
Subtract 4 from each side
4 -4+ sqrt (x+5) = 10-4
sqrt(x+5) = 6
Square each side
(sqrt(x+5))^2 = 6^2
x+5 = 36
Subtract 5 from each side
x+5-5 = 36-5
x = 31
Answer: b. 31
[tex]4+\sqrt{x+5}=10\\\\\sqrt{x+5}=6\\\\(\sqrt{x+5})^2=(6)^2\\\\x+5=36\\\\x=31\\\\\\Check:\\4+\sqrt{(31)+5}=10\\\\4+\sqrt{36}=10\\\\4+6=10\ \checkmark[/tex]
