Radical Equations Worksheet

Solve square-root equations over the real numbers and check for extraneous solutions.

Math9th Grade10th Grade

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01 Solve each algebra problem.

Use exact answers: x^2 for powers, sqrt(2) for radicals and i for imaginary numbers. Separate solutions with commas.

1. Solve sqrt(x+0) = -4 over the reals. List all solutions, or no solution.
2. Solve sqrt(x+17) = x-3 over the reals. Check for extraneous roots.
3. Solve sqrt(x+9) = x-3 over the reals. Check for extraneous roots.
4. Solve sqrt(x+19) = x-1 over the reals. Check for extraneous roots.
5. Solve sqrt(x+11) = x-1 over the reals. Check for extraneous roots.
6. Solve sqrt(x+26) = x-4 over the reals. Check for extraneous roots.