document.write( "Question 109418: how do you solve the radical equation \r
\n" ); document.write( "\n" ); document.write( "radical sign(x-2) + 3 = radical sign (4x+1) \n" ); document.write( "
Algebra.Com's Answer #79772 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
radical sign(x-2) + 3 = radical sign (4x+1)
\n" ); document.write( "Square both sides to get:
\n" ); document.write( "(x-2) + 6sqrt(x-2)+9 = 4x+1
\n" ); document.write( "x+7 + 6sqrt(x-2) = 4x+1
\n" ); document.write( "6sqrt(x-2) = 3x-6
\n" ); document.write( "Divide thru by 3 to get:
\n" ); document.write( "2sqrt(x-2) = x-2
\n" ); document.write( "Square both sides to get:
\n" ); document.write( "4(x-2) = x^2-4x+4
\n" ); document.write( "4x-8 = x^2-4x+4
\n" ); document.write( "x^2-8x+12 = 0
\n" ); document.write( "(x-2)(x-6)=0
\n" ); document.write( "x = 2 or x=6
\n" ); document.write( "-------------
\n" ); document.write( "Check these answers in sqrt(x-2) + 3 = sqrt(4x+1)
\n" ); document.write( "Check x=2:
\n" ); document.write( "sqrt(0)+3 = sqrt(9)
\n" ); document.write( "True
\n" ); document.write( "---------------
\n" ); document.write( "Check x=6:
\n" ); document.write( "sqrt(4) + 3 = sqrt(25)
\n" ); document.write( "True
\n" ); document.write( "------------------
\n" ); document.write( "Both solutions are good.
\n" ); document.write( "===============
\n" ); document.write( "Cheerd,
\n" ); document.write( "Stan H.
\n" ); document.write( " \n" ); document.write( "
\n" );