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Math Help - solve for one variable - fractions

  1. #1
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    solve for one variable - fractions

    I am trying to understand the basics of how to do this.

    x/16 = 4/x

    Can you assist in getting me on the right track?

    The answer is + or - 8 and it seems clear to me that one side should say x^2 and the other 64, I am just not positive of which way is the correct way to get the answer.

    Thank you.
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  2. #2
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    \frac{x}{16} = \frac{4}{x}

    Cross multiplying

    \frac{x}{16}\times x = \frac{4}{x}\times x

    \frac{x^2}{16} = 4

    \frac{x^2}{16}\times 16 = 4 \times 16

    x^2 = 64

    x = \sqrt{64}

    x = \pm 8
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