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

Answer:
x = 12
Step-by-step 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:
Step-by-step explanation:
We have equation
[tex]\sqrt{x+4} -3=1[/tex]
to solve for x we first add 3 to both side
[tex]\sqrt{x+4}-3+3=1+3\\\sqrt{x+4} =4[/tex]
now we need to remove square root from left side, so we square both sides
[tex]x+4=4^{2}[/tex]
[tex]x+4=16[/tex]
now we subtract 4 from both sides
[tex]x+4-4=16-4\\x=12[/tex]