I mean when C is negative

Mathematics

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Answer

Real numbers\text{Real numbers}

Step-by-step solution

4 steps
  1. Consider the equation x2+C=0x^2 + C = 0.

    If CC is a negative number, let's represent it as C=−kC = -k, where kk is a positive number.
    Substituting this into the equation:

    x2+(−k)=0x^2 + (-k) = 0 x2−k=0x^2 - k = 0
  2. Rearrange the equation to solve for x2x^2

    x2=kx^2 = k
  3. To find xx, take the square root of both sides

    x=±kx = \pm \sqrt{k}
  4. Since kk is a positive number (because CC was negative), k\sqrt{k} will be a real number.

    Therefore, the solutions for xx are real numbers.

    For example, if C=−4C = -4:
    x2−4=0x^2 - 4 = 0
    x2=4x^2 = 4
    x=±4x = \pm \sqrt{4}
    x=±2x = \pm 2
    These are real numbers.

    The solutions will be real numbers.
    Real numbers\text{Real numbers}

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