document.write( "Question 348136: Problem 1: (√x+4) +2 = (√x + 20)
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document.write( "I know the answer is 5, but do not understand how to work the problem.\r
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document.write( "Problem 2: (5√x-2) -3 = (√19x-29)
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document.write( "How do you get 27 as the answer? \n" );
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Algebra.Com's Answer #248945 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Problem 1: (√x+4) +2 = (√(x + 20)) \n" ); document.write( "I know the answer is 5, but do not understand how to work the problem. \n" ); document.write( "--- \n" ); document.write( "Square both sides to get: \n" ); document.write( "(x+4) + 4(sqrt(x+4)) + 4 = x + 20 \n" ); document.write( "------ \n" ); document.write( "4sqrt(x+4) = 12 \n" ); document.write( "sqrt(x+4) = 3 \n" ); document.write( "---- \n" ); document.write( "Square both sides to get: \n" ); document.write( "x+4 = 9 \n" ); document.write( "x = 5 \n" ); document.write( "===============\r \n" ); document.write( "\n" ); document.write( "Problem 2: (5√x-2) -3 = (√19x-29) \n" ); document.write( "Square both sides to get: \n" ); document.write( "25(x-2) - 6*5sqrt(x-2) + 9 = 19x-29 \n" ); document.write( "---- \n" ); document.write( "25x-50 - 30sqrt(x-2) = 19x-38 \n" ); document.write( "-30sqrt(x-2) = 12-6x \n" ); document.write( "------------------------ \n" ); document.write( "(5√x-2) -3 = (√19x-29) \n" ); document.write( "--- \n" ); document.write( "x cannot be 2 \n" ); document.write( "---- \n" ); document.write( "Final Answer: x = 27 \n" ); document.write( "========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "-5sqrt(x-2) = 2-x \n" ); document.write( "---- \n" ); document.write( "Square both sides: \n" ); document.write( "25(x-2) = 4 - 4x + x^2 \n" ); document.write( "25x-50 = 4 - 4x + x^2 \n" ); document.write( "x^2 -29x+54 = 0 \n" ); document.write( "(x-27)(x-2) = 0 \n" ); document.write( "--- \n" ); document.write( "x = 27 or x = 2 \n" ); document.write( "------------------------ \n" ); document.write( "Checking in original equation:\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "How do you get 27 as the answer? \n" ); document.write( " \n" ); document.write( " |