Problem 79 of 7
Solve radical equation with radicals on both sides: sqrt(x-1)+2=sqrt(x+7).
Hints
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Hidden until you reveal it.
square carefully and verify.
Hidden until you reveal it.
Square carefully and verify after one or two squaring steps.
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Correct
Your answer is equivalent to the expected form.
Solution
Walkthrough
Walkthrough shown
Full solution stays hidden until you ask for it.
1. Determine domains for each radical.
2. Isolate a radical if needed and square both sides.
3. Repeat if another radical remains, then check candidates.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Unverified roots introduced by squaring.