Solving Radical Equations
Grade 9 Math worksheet on solving radical equations, including isolating the radical, squaring both sides, and checking for extraneous solutions.
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Solving Radical Equations
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Read each question carefully and solve for the variable. Remember to check your solutions for extraneous roots.
1. Solve for x: √(x + 5) = 3
2. Solve for x: √(2x - 1) - 4 = 0
3. Fill in the blanks to solve the equation √(3x + 4) = x.
Square both sides: 3x + 4 =
Rearrange into a quadratic equation: x² - - = 0
Factor the quadratic equation: (x - 4)(x + 1) = 0
Possible solutions: x = 4 or x =
Check for extraneous solutions. The valid solution is x =
4. Which of the following is an extraneous solution for the equation x = √(x + 6)?
x = 3
x = -2
Both x = 3 and x = -2
Neither
5. Solve for x: √(x - 3) = x - 5
6. Solve for x: √(x + 7) + 5 = x