document.write( "Question 83158: Please help me solve 2x+6=8+square root of (5x+1) \n" ); document.write( "

Algebra.Com's Answer #59673 by Mona27(45) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"2x%2B6=8%2Bsqrt%285x%2B1%29\"$
\n" ); document.write( "Subtract 8 from both sides:
\n" ); document.write( " $\"2x-2=sqrt%285x%2B1%29\"$
\n" ); document.write( "Now square both sides:
\n" ); document.write( " $\"%282x-2%29%5E2=5x%2B1\"$
\n" ); document.write( "Expanding the bracket:
\n" ); document.write( " $\"4x%5E2-8x%2B4=5x%2B1\"$
\n" ); document.write( "Rearrange:
\n" ); document.write( " $\"4x%5E2-13x%2B3=0\"$
\n" ); document.write( "Now factorise:
\n" ); document.write( " $\"%284x-1%29%28x-3%29=0\"$
\n" ); document.write( "This gives:
\n" ); document.write( "x= $\"1%2F4\"$ or x=3 \n" ); document.write( "

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