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If I rewrite an equation

$$\sqrt{a} + b = 10$$

to

$$a = 100 - 20b + b^2,$$

how would I call that transformation to explicitly express $a$?

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  • $\begingroup$ Is "solving for $a$ and expanding the square using the binomial theorem" precise enough for your needs? $\endgroup$ – t.b. May 11 '11 at 8:46
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    $\begingroup$ I think "solving for a" is what I was looking for. Can you make that an answer? :) $\endgroup$ – justAnovice May 11 '11 at 8:47
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    $\begingroup$ One could also say you're isolating $a$. $\endgroup$ – J. M. isn't a mathematician Jul 27 '12 at 0:33
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Reposting my comment on the OP's request:

Is "solving for $a$ and expanding the square using the binomial formula" precise enough for your needs?

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    $\begingroup$ Just solving for $a$, without any other transformation, would be $a = (10 - b)^2$. $\endgroup$ – Kevin Reid May 12 '11 at 0:36
  • $\begingroup$ @Kevin: Thanks for pointing this out. $\endgroup$ – t.b. May 12 '11 at 0:38
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What about 'isolating'? Or 'extricating'?

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  • $\begingroup$ 'isolating' was already suggested in the comments. $\endgroup$ – user53153 Feb 14 '13 at 16:28

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