Question

Sqrt (x-5) +7 =11 solve for x

Answer 1

x = 21

Explanation:

Given

`√(x-5)` + 7 = 11 ( subtract 7 from both sides )

`√(x-5)` = 4 ( square both sides )

x - 5 = 16 ( add 5 to both sides )

x = 21

As a check

`√(21-5)` + 7 =
`√(16)` + 7 = 4 + 7 = 11 ← True

Hence x = 21 is the solution

Answer 2

Answer: x=9

Explanation:

(x-5)+7=11

Subtract 7 from both sides

(x-5)=4

Take away the parenthesis

x-5=4

Add 5 from both sides

x=9

x=9 is your final answer