document.write( "Question 498182: 1/r + 2/(1- r) = 4/r^2 ; solve for r \n" ); document.write( "
Algebra.Com's Answer #336981 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"1%2Fr+%2B+2%2F%281-+r%29+=+4%2Fr%5E2\" ; solve for \"r\"\r
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\n" ); document.write( "\n" ); document.write( "\"1%281-+r%29%2Fr%281-+r%29+%2B+2r%2Fr%281-+r%29+=+4%2Fr%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28%281-+r%29%2B+2r%29%2Fr%281-+r%29+=+4%2Fr%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"%281-+r%2B+2r%29%2Fr%281-+r%29+=+4%2Fr%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"%281%2Br%29%2Fr%281-+r%29+=+4%2Fr%5E2\"....cross multiply\r
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\n" ); document.write( "\n" ); document.write( "\"%281%2Br%29r%5E2+=+4%2Ar%281-+r%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"r%5E2%2Br%5E3+=+4r-+4r%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"r%5E2%2Br%5E3+-4r%2B+4r%5E2=0%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"r%5E3%2B+5r%5E2-4r=0%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"r%28r%5E2%2B+5r-4%29=0%29\"\r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "first: \"highlight%28r=0%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"r%5E2%2B+5r-4=0%29\"...use quadratic formula to solve for \"r\"\r
\n" ); document.write( "\n" ); document.write( "\"r+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"r+=+%28-5+%2B-+sqrt%28+5%5E2-4%2A1%2A%28-4%29+%29%29%2F%282%2A1%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"r+=+%28-5+%2B-+sqrt%28+25%2B16+%29%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"r+=+%28-5+%2B-+sqrt%28+41+%29%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"r+=+%28-5+%2B-+6.4%29%2F2+\"\r
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\n" ); document.write( "\n" ); document.write( "\"r+=+%28-5+%2B6.4%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"r+=+%281.4%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28r+=+0.7%29+\"\r
\n" ); document.write( "\n" ); document.write( "or\r
\n" ); document.write( "\n" ); document.write( "\"r+=+%28-5+-6.4%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"r+=+%28-11.4%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28r+=+-5.7%29+\"\r
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