Question

Solve the equation for the variable. Show each step of your solution process.

Answer 1

x = 12

Explanation:

√(x + 4) - 3 = 1 Add 3 to each side

√(x + 4) = 4 Square each side

x + 4 = 16 Subtract 4 from each side

x = 12

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Check:

√(12 + 4) – 3 = 1

√16 – 3 = 1

4 – 3 = 1

1 = 1

Answer 2

Explanation:

We have equation

`√(x+4) -3=1`

to solve for x we first add 3 to both side

`√(x+4)-3+3=1+3\\√(x+4) =4`

now we need to remove square root from left side, so we square both sides

`x+4=4^(2)`

`x+4=16`

now we subtract 4 from both sides

`x+4-4=16-4\\x=12`