document.write( "Question 707188: sqrt(3x+4) - sqrt (2x+4) =2 \n" ); document.write( "
Algebra.Com's Answer #435558 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
sqrt(3x+4) - sqrt (2x+4) =2
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\n" ); document.write( "sqrt(3x+4) = sqrt(2x+4) + 2
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\n" ); document.write( "Square both sides to get:
\n" ); document.write( "3x+4 = 2x+4 + 4*sqrt(2x+4) + 4
\n" ); document.write( "x - 4 = 4sqrt(2x+4)
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\n" ); document.write( "Square both sides:
\n" ); document.write( "x^2 - 8x + 16 = 16(2x+4)
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\n" ); document.write( "x^2 - 40x - 48 = 0
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\n" ); document.write( "x = [40 +- sqrt(1600-4*-48)]/2
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\n" ); document.write( "x = [40 +- sqrt(1792)]/2
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\n" ); document.write( "x = [20 +- 42.33]/2
\n" ); document.write( "x = 61.33/2 or x = -22.33/2
\n" ); document.write( "Positive solution:
\n" ); document.write( "x = 30.67
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\n" ); document.write( "Check to see if that solution is extraneous.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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