document.write( "Question 214026This question is from textbook College algebra
\n" ); document.write( ": solve the equation: square root of 3q+1 - the square root of q-1 =2 \n" ); document.write( "

Algebra.Com's Answer #161673 by HyperBrain(694) $\"\"$ $\"About$

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$\"sqrt%283q%2B1%29+-+sqrt%28q-1%29+=2\"$
\n" ); document.write( " $\"sqrt%283q%2B1%29=2%2Bsqrt%28q-1%29\"$
\n" ); document.write( "Square both sides
\n" ); document.write( " $\"3q%2B1=4%2B%28q-1%29%2B4sqrt%28q-1%29\"$
\n" ); document.write( " $\"3q%2B1=q%2B3%2B4sqrt%28q-1%29\"$
\n" ); document.write( " $\"2q-2=4sqrt%28q-1%29\"$
\n" ); document.write( " $\"q-1=2sqrt%28q-1%29\"$
\n" ); document.write( "Let x=q-1
\n" ); document.write( "Then
\n" ); document.write( " $\"x=2sqrt%28x%29\"$
\n" ); document.write( " $\"x%5E2=2x\"$
\n" ); document.write( " $\"x%5E2-2x=0\"$
\n" ); document.write( " $\"x%28x-2%29=0\"$
\n" ); document.write( "x=0 or x=2
\n" ); document.write( "If x=0, q-1=0 so q=1
\n" ); document.write( "If x=2, q-1=2 so q=3.\r
\n" ); document.write( "\n" ); document.write( "So, q=1 or 3 \n" ); document.write( "

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