Multiple Choice Question (MCQ)

What is the solution set to the equation 4+x^2=2x^2-5 ?

  1. ×


  2. ×


  3. \{x:x=\pm3\}

  4. ×


  5. ×


Collected in the board: Algebraic equation

Steven Zheng posted 1 year ago


  1. A solution set is the set of variables that makes the equation true. For a quadratic equation, it has either 2 duplicate roots(1 solution) or distinct roots.

    Solving the equation gives



    Taking the square roots


    It turns out the equation has two distinct solutions. So the solution set of the equation is \{x:x=\pm3\} .

    C is the correct choice.

Steven Zheng posted 1 year ago

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