document.write( "Question 252222: In A = xy - (1 - z/4)r^2, solve for r in terms of the other variables, r a positive number. \n" ); document.write( "

Algebra.Com's Answer #184047 by jim_thompson5910(35256) $\"\"$ $\"About$

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$\"A+=+xy+-+%281+-+z%2F4%29r%5E2\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"A+-+xy+=+-+%281+-+z%2F4%29r%5E2\"$ Subtract xy from both sides.\r
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\n" ); document.write( "\n" ); document.write( " $\"%28A+-+xy%29%2F%28-%281+-+z%2F4%29%29+=+r%5E2\"$ Divide both sides by $\"-+%281+-+z%2F4%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"-%28A+-+xy%29%2F%281+-+z%2F4%29+=+r%5E2\"$ Reduce.\r
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\n" ); document.write( "\n" ); document.write( " $\"sqrt%28-%28A+-+xy%29%2F%281+-+z%2F4%29%29+=+r\"$ Take the square root of both sides. Note: Since 'r' is positive, we don't have to worry about the negative square root.\r
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\n" ); document.write( "\n" ); document.write( "So the answer is $\"r=sqrt%28-%28A+-+xy%29%2F%281+-+z%2F4%29%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "Note: if the original problem was $\"A+=+xy+-+%28%281+-+z%29%2F4%29r%5E2\"$ , then the answer is $\"r=sqrt%28-%28A+-+xy%29%2F%28%281+-+z%29%2F4%29%29\"$ which simplifies to $\"r=sqrt%28-%284%28A+-+xy%29%29%2F%281+-+z%29%29\"$ \n" ); document.write( "

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