document.write( "Question 208735: Hi, could you please help me out?\r
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document.write( "Thanks!!!!! \n" );
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Algebra.Com's Answer #157857 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! sqrt(2x+3) - sqrt(x+1) =1 \n" ); document.write( "------------------------ \n" ); document.write( "Square both sides to get: \n" ); document.write( "(2x+3) - 2sqrt[(2x+3)(x+1)] + (x+1) = 1 \n" ); document.write( "--- \n" ); document.write( "Isolate the radical term: \n" ); document.write( "[2sqrt[2x^2+5x+3] = 3x+4-1 \n" ); document.write( "-------------------------- \n" ); document.write( "Square both sides: \n" ); document.write( "4[2x^2+5x+3] = (3x+3)^2 \n" ); document.write( "8x^2 + 20x + 12 = 9x^2 + 18x + 9 \n" ); document.write( "--- \n" ); document.write( "Solve for \"x\": \n" ); document.write( "x^2 -2x -3 = 0 \n" ); document.write( "--- \n" ); document.write( "Factor: \n" ); document.write( "(x-3)(x+1) = 0 \n" ); document.write( "x = 3 or x = -1 \n" ); document.write( "------------------------- \n" ); document.write( "Checking those possible answers in sqrt(2x+3) - sqrt(x+1) =1 : \n" ); document.write( "x = 3 \n" ); document.write( "This checks out \n" ); document.write( "--- \n" ); document.write( "X = -1 \n" ); document.write( "This checks out \n" ); document.write( "--------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=============== \n" ); document.write( "PS: Replies should be sent to stanbon@comcast.net \n" ); document.write( "as the algebra.com feedback program is not working. \n" ); document.write( " \n" ); document.write( " |