document.write( "Question 427539: Solve equation, check answer.
\n" ); document.write( "root 4√(2x+3) = √(x+1) \n" ); document.write( "

Algebra.Com's Answer #297316 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"4sqrt%282x%2B3%29\"$ = $\"sqrt%28x%2B1%29\"$
\n" ); document.write( "square both sides and you have
\n" ); document.write( " $\"sqrt%282x%2B3%29\"$ = x + 1
\n" ); document.write( "Square both sides again
\n" ); document.write( "2x + 3 = (x+1)^2
\n" ); document.write( "FOIL, the right side
\n" ); document.write( "2x + 3 = x^2 + 2x + 1
\n" ); document.write( "0 = x^2 + 2x - 2x + 1 - 3
\n" ); document.write( "0 = x^2 - 2
\n" ); document.write( "x^2 = 2
\n" ); document.write( "x = $\"sqrt%282%29\"$ , only the positive value will be a solution \n" ); document.write( "

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