document.write( "Question 1054083: Solve √(x+6)+√(x)=3 for x with clear answer please \n" ); document.write( "
Algebra.Com's Answer #669276 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
Two irrational expression, power of one-half, each; squaring done two times. Watch for either solution being incorrect for the original equation.\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%28x%2B6%29=3-sqrt%28x%29\"
\n" ); document.write( "\"x%2B6=9-6%2Asqrt%28x%29%2Bx\"
\n" ); document.write( "\"0=3-6sqrt%28x%29\"
\n" ); document.write( "\"6%2Asqrt%28x%29=3\"
\n" ); document.write( "\"sqrt%28x%29=1%2F2\"
\n" ); document.write( "\"x=1%2F4\"-------------seems to be only this solution; none others occur.\r
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\n" ); document.write( "\n" ); document.write( "Check if you want to be sure.
\n" ); document.write( "\"sqrt%281%2F4%2B6%29%2Bsqrt%281%2F4%29=what\"
\n" ); document.write( "\"sqrt%2825%2F4%29%2B1%2F2\"
\n" ); document.write( "\"5%2F2%2B1%2F2\"
\n" ); document.write( "\"6%2F2=3\"
\n" ); document.write( "Check works.
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