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Need a refresher on basic algebra.

What rule is used to solve for x for: $\frac{1}{\sqrt{x}}=100$?

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    $\begingroup$ Square both sides... then.... $\endgroup$ Apr 7, 2022 at 6:47
  • $\begingroup$ Just keep x positive along with the squaring $\endgroup$ Apr 7, 2022 at 7:43

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The main trick for simple algebra is to get $x$ alone at one side of the equation.

$$ \frac{1}{\sqrt{x}} = 100 \quad \text{//multiply by} \sqrt{x} $$ $$1 = 100\sqrt{x} \quad \text{//divide by 100} $$ $$ \frac{1}{100} = \sqrt{x} \quad \text{//square both sides} $$ $$ \frac{1}{100^2}=\frac{1}{10000} = \sqrt{x}^2 = x $$

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    $\begingroup$ Welcome to MSE. This question goes against our quality standard policy. Instead of posting an answer, you should encourage the person who posted the question to improve it. $\endgroup$ Apr 7, 2022 at 7:39

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