Solving Square Root Equations
This worksheet focuses on solving square root equations, including identifying extraneous solutions, for Grade 12 Algebra students.
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Solving Square Root Equations
Name:
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Solve each square root equation. Remember to check for extraneous solutions. Show all your work.
1. Solve for x: √(x + 3) = 4
2. Solve for y: √(2y - 5) + 3 = 8
3. When solving √(x + 7) = x - 5, the two potential solutions are x = 9 and x = -2. The extraneous solution is .
4. For the equation √(3x + 1) = x - 1, the solution obtained by squaring both sides is x = 5 and x = 0. The valid solution is .
5. Which of the following is an extraneous solution for the equation x = √(6x + 7)?
x = 7
x = -1
No extraneous solutions
Both a and b
6. Solve the equation: √(x + 1) + √(x - 2) = 3
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