document.write( "Question 133322: how would you solve for x in this equation:
\n" ); document.write( "3x + xSR3 = 3 + 3SR3\r
\n" ); document.write( "\n" ); document.write( "I'm studying for the GMAT and one practice book had this question but didn't give anything but the solution (x=SR3) and it has been bugging me something terrible. \r
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Algebra.Com's Answer #97567 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
how would you solve for x in this equation:
\n" ); document.write( "\"3x+%2B+x%2Asqrt%283%29+=+3+%2B+3sqrt%283%29\"
\n" ); document.write( "I'm studying for the GMAT and one practice book had this question but didn't give anything but the solution (x=\"sqrt%283%29\") and it has been bugging me something terrible.
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document.write( "Factor x out on the left side:\r\n" );
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document.write( "\"x%283+%2B+sqrt%283%29%29+=+3+%2B+3%2Asqrt%283%29\"\r\n" );
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document.write( "Divide both sides by \"%283+%2B+sqrt%283%29%29\"\r\n" );
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document.write( "Cancel on the left:\r\n" );
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document.write( "\"%0D%0Ax+=+%0D%0A%283+%2B+3%2Asqrt%283%29%29%0D%0A%2F%28%283%2Bsqrt%283%29%29%29%0D%0A\"\r\n" );
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document.write( "Put parentheses around the top because we\r\n" );
document.write( "are going to be multiplying:\r\n" );
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document.write( "\"%0D%0Ax+=+%0D%0A%28%283+%2B+3%2Asqrt%283%29%29%29%0D%0A%2F%28%283%2Bsqrt%283%29%29%29%0D%0A\"\r\n" );
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document.write( "Rationalize the denominator by multiplying\r\n" );
document.write( "by the conjugate of the denominator over\r\n" );
document.write( "itself.  That is, multiply by \"%28%283-sqrt%283%29%29%29%2F%28%283-sqrt%283%29%29%29%29\", which\r\n" );
document.write( "can't affect the value since it equals 1.\r\n" );
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document.write( "\"x+=+%0D%0A%28%283+%2B+3%2Asqrt%283%29%29%29%0D%0A%2F%28%283%2Bsqrt%283%29%29%29%0D%0A\"\"%28%283-sqrt%283%29%29%29%2F%28%283-sqrt%283%29%29%29%29\"\r\n" );
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document.write( "Now use the \"FOIL\" principle on the\r\n" );
document.write( "top and bottom:\r\n" );
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document.write( "Combine the two middle terms in the top:\r\n" );
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document.write( "The middle two terms on the bottom cancel:\r\n" );
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document.write( "Replace \"%28sqrt%283%29%29%5E2\" by \"3\"\r\n" );
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document.write( "\"x+=+%289%2B6%2Asqrt%283%29+-+3%2A3%29%0D%0A+%0D%0A%2F%289+-+3%29\"\r\n" );
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document.write( "\"x+=+%289%2B6%2Asqrt%283%29+-+9%29%0D%0A+%0D%0A%2F6\"\r\n" );
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document.write( "\"x+=+%286%2Asqrt%283%29%29%0D%0A+%0D%0A%2F6\"\r\n" );
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document.write( "Cancel the \"6\"'s\r\n" );
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document.write( "\"x+=+%28cross%286%29%2Asqrt%283%29%29%0D%0A+%0D%0A%2Fcross%286%29\"\r\n" );
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document.write( "\"x+=+sqrt%283%29\"\r\n" );
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document.write( "Edwin
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