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 #248948 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Hi,
\n" ); document.write( "If I am understanding your question properly:
\n" ); document.write( "\"root%282%2C%28x%2B4%29%29%2B2+=root%282%2C+%28x%2B20%29%29\"
\n" ); document.write( ".
\n" ); document.write( "SQUARE BOTH SIDES OF THE EQUATION:
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\n" ); document.write( "squaring left side gives:
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\n" ); document.write( ".
\n" ); document.write( "squaring right gives (x+20)
\n" ); document.write( ".
\n" ); document.write( "Result of squaring both sides of the equation:
\n" ); document.write( "\"x%2B4+%2B+4%2Aroot%282%2C%28x%2B4%29%29+%2B+4+=+%28x+%2B+20%29\"
\n" ); document.write( ".
\n" ); document.write( "Simplifying
\n" ); document.write( "\"root%282%2C%28x%2B4%29%29=+3\"
\n" ); document.write( ".
\n" ); document.write( "SQUARING BOTH SIDES OF THIS EQUATION
\n" ); document.write( "x+4 = 9
\n" ); document.write( "x=5
\n" ); document.write( ".
\n" ); document.write( "this is solved as above: fist Squaring both sides of the equation, simplifying and once again squaring both sides of the equation to solve for x
\n" ); document.write( "\"5%2Aroot%282%2C%28x-2%29%29-3+=root%282%2C+%2819%2Ax%2B29%29%29\"
\n" ); document.write( "Square both sides to get:
\n" ); document.write( "\"25%28x-2%29+-+30sqrt%28x-2%29+%2B+9+=+19x-29\"
\n" ); document.write( "\"25x-50+-+30sqrt%28x-2%29+=+19x-38\"
\n" ); document.write( "\"-30sqrt%28x-2%29+=+12-6x\"
\n" ); document.write( "\"%286x-12%29=+30sqrt%28x-2%29\"
\n" ); document.write( "\"%28x-2%29=+5sqrt%28x-2%29\"
\n" ); document.write( ".
\n" ); document.write( "SQUARE BOTH SIDES
\n" ); document.write( "\"x%5E2+-4x+%2B4+=+25%28x-2%29\"
\n" ); document.write( "\"x%5E2+-4x+%2B4+=+25x-50%29\"
\n" ); document.write( "\"x%5E2+-29x+%2B54=+0\"
\n" ); document.write( ".
\n" ); document.write( "factor
\n" ); document.write( "\"%28x-27%29%28x-2%29=0\"
\n" ); document.write( "x=27 or x=2
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