Multiple Choice Question (MCQ)

Solve for x: \sqrt{x^2- 35} = 5 – x


  1. 6

  2. ×

    -6

  3. ×

    3

  4. ×

    -3

  5. ×

    no solution

Collected in the board: Radical equations

Steven Zheng posted 2 hours ago

Answer

  1. \sqrt{x^2- 35} = 5 – x

    Square both sides

    (\sqrt{x^2- 35})^2 = (5 – x)^2

    raise both sides to the index of the radical, expand the perfect square

    x^2-35 = 25+x^2-10x

    Combine like terms

    -60 = -10x

    Solve for x

    x = 6

    A is the correct answer

Steven Zheng posted 2 hours ago

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