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If x12-3x = 0, then the values of x are ______. - Mathematics

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Question

If `x/12 - 3/x` = 0, then the values of x are ______.

Options

  • ± 6

  • ± 4

  • ± 12

  • ± 13

MCQ
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Solution

If `x/12 - 3/x` = 0, then the values of x are ± 6.

Explanation:

`x/12 - 3/x` = 0

`(x xx x)/(12 xx x) - (3 xx 12)/(x xx 12) = 0`

`(x^2 - 36)/(12x) = 0`

x2 − 36 = 0

x2 = 36

x = ± 6

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