Multiple Choice Question (MCQ)

Solve for x: \sqrt{x^2+3} = x + 1

  1. ×

    \pm1

  2. 1

  3. ×

    -1

  4. ×

    2

  5. ×

    no solution

Collected in the board: Radical equations

Steven Zheng posted 1 hour ago

Answer

  1. \sqrt{x^2+3} = x + 1

    Square both sides to remove radical

    (\sqrt{x^2+3} )^2=(x+1)^2

    Expand perfect square polynomial

    x^2+3 = x^2+2x+1

    Combine the like terms

    2 = 2x

    Divide both sides by 2

    x = 1

Steven Zheng posted 1 hour ago

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