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Algebra (all content)

Course: Algebra (all content) > Unit 12

Lesson 2: Extraneous solutions of radical equations
Math
Algebra (all content)
Radical equations & functions
Extraneous solutions of radical equations
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Extraneous solutions of equations

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Problem

Tessa solves the equation below by first squaring both sides of the equation.
square root of, x, squared, minus, 3, x, minus, 6, end square root, equals, x, minus, 1
What extraneous solution does Tessa obtain?
x, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
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