Question

the quotient when 180 is divided by x is 15 more than when it is divided by 2x . what is the value of x to the power minus 2
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Answer 1

Answer:

$\frac{1}{324}$

Step-by-step explanation:

$15 +\frac{180}{2x} = \frac{180}{x}$

$15 +\frac{90}{x} =\frac{180}{x90}$

$15 = \frac{180}{x} +\frac{90}{x}$

$15=\frac{(180+90)}{x}$

$15=\frac{270}{x}$

$15x=270$

$x=\frac{270}{15}$

$x=18$

$x^{-2} =\frac{1}{x^{2}}$

$\frac{1}{18^{2}}$

$\frac{1}{324}$

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