document.write( "Question 707188: sqrt(3x+4) - sqrt (2x+4) =2 \n" ); document.write( "
Algebra.Com's Answer #435558 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! sqrt(3x+4) - sqrt (2x+4) =2 \n" ); document.write( "--- \n" ); document.write( "sqrt(3x+4) = sqrt(2x+4) + 2 \n" ); document.write( "----- \n" ); document.write( "Square both sides to get: \n" ); document.write( "3x+4 = 2x+4 + 4*sqrt(2x+4) + 4 \n" ); document.write( "x - 4 = 4sqrt(2x+4) \n" ); document.write( "---- \n" ); document.write( "Square both sides: \n" ); document.write( "x^2 - 8x + 16 = 16(2x+4) \n" ); document.write( "---- \n" ); document.write( "x^2 - 40x - 48 = 0 \n" ); document.write( "---- \n" ); document.write( "x = [40 +- sqrt(1600-4*-48)]/2 \n" ); document.write( "---- \n" ); document.write( "x = [40 +- sqrt(1792)]/2 \n" ); document.write( "---- \n" ); document.write( "x = [20 +- 42.33]/2 \n" ); document.write( "x = 61.33/2 or x = -22.33/2 \n" ); document.write( "Positive solution: \n" ); document.write( "x = 30.67 \n" ); document.write( "------------------- \n" ); document.write( "Check to see if that solution is extraneous. \n" ); document.write( "------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |