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Worksheet

Solving Quadratic Equations by Square Roots

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Class:
Date:

Show your work for each problem.

  1. 1.
    How many solutions does have?
    1. a)2
    2. b)0
    3. c)Infinitely many
    4. d)1
  2. 2.
    Solve . Enter the positive solution.
  3. 3.
    Solve . Enter the negative solution.
  4. 4.
    Does have any real solutions?
    1. a)Yes,
    2. b)Yes,
    3. c)Yes,
    4. d)No, because squares cannot be negative
  5. 5.
    Solve:
  6. 6.
    Solve . Enter the positive solution.
  7. 7.
    Solve:
  8. 8.
    What are the solutions to ?
    1. a)
    2. b)
    3. c)
    4. d)
  9. 9.
    Solve:
  10. 10.
    Solve . Enter the larger solution.
  11. 11.
    Solve:
  12. 12.
    Solve . What are the solutions?
    1. a) and
    2. b) and
    3. c) and
    4. d) and
  13. 13.
    A square has an area of 196 square meters. What is the side length?
  14. 14.
    Solve:
  15. 15.
    Which equation has NO real solutions?
    1. a)
    2. b)
    3. c)
    4. d)
Interactive lesson with step-by-step solutions and more practice (free): mathorio.com/en/learn/algebra/quadratics/solving-by-square-roots