document.write( "Question 123773: I am having trouble with this problem:\r
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document.write( "square root of X= square root of (x-8) +2\r
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document.write( "I am tutoring a student and this is a review problem that has me uncertain \n" );
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Algebra.Com's Answer #90789 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! square root of X= square root of (x-8) +2 \n" ); document.write( "------------------------- \n" ); document.write( "sqrt(x) = sqrt(x-8) + 2 \n" ); document.write( "Square both sides to get: \n" ); document.write( "x = (x-8) + 4sqrt(x-8) + 4 \n" ); document.write( "Isolate the \"square\" term on one side: \n" ); document.write( "4sqrt(x-8) = 4 \n" ); document.write( "Divide both sides: \n" ); document.write( "sqrt(x-8) = 1 \n" ); document.write( "Square both sides to get: \n" ); document.write( "x-8 = 1 \n" ); document.write( "x = 9 \n" ); document.write( "---------- \n" ); document.write( "Check the answer as squaring may introduce extraneous solutions. \n" ); document.write( "--------- \n" ); document.write( "sqrt(9) = sqrt(9-8)+2 \n" ); document.write( "3 = 1+2 \n" ); document.write( "------------ \n" ); document.write( "Final Anser: x=9 \n" ); document.write( "========================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |