document.write( "Question 348136: 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.\r
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\n" ); document.write( "\n" ); document.write( "Problem 2: (5√x-2) -3 = (√19x-29)
\n" ); document.write( "How do you get 27 as the answer?
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Algebra.Com's Answer #248945 by stanbon(75887)\"\" \"About 
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.
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\n" ); document.write( "Square both sides to get:
\n" ); document.write( "(x+4) + 4(sqrt(x+4)) + 4 = x + 20
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\n" ); document.write( "4sqrt(x+4) = 12
\n" ); document.write( "sqrt(x+4) = 3
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\n" ); document.write( "Square both sides to get:
\n" ); document.write( "x+4 = 9
\n" ); document.write( "x = 5
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\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
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\n" ); document.write( "(5√x-2) -3 = (√19x-29)
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\n" ); document.write( "x cannot be 2
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\n" ); document.write( "Final Answer: x = 27
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "-5sqrt(x-2) = 2-x
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\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
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\n" ); document.write( "x = 27 or x = 2
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\n" ); document.write( "Checking in original equation:\r
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\n" ); document.write( "\n" ); document.write( "How do you get 27 as the answer?
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