document.write( "Question 717181: please help me solve this equation 3√(x-2)-2√(x-5)=4 \n" ); document.write( "

Algebra.Com's Answer #440133 by stanbon(75887) $\"\"$ $\"About$

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solve this equation 3√(x-2)-2√(x-5)=4
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\n" ); document.write( "Rearrange:
\n" ); document.write( "3*sqrt)(x-2) = 2sqrt(x-5) + 4
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\n" ); document.write( "Sqruare both sides:
\n" ); document.write( "9(x-2) = 4(x-5) + 16sqrt(x-5) + 16
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\n" ); document.write( "9x-18 = 4x-20 + 16sqrt(x-5) + 16
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\n" ); document.write( "Rearrange:
\n" ); document.write( "5x-14 = 16sqrt(x-5)
\n" ); document.write( "----
\n" ); document.write( "25x^2 -140x + 196 = 256(x-5)
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\n" ); document.write( "25x^2 -140x + 196 = 256x - 1280
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\n" ); document.write( "25x^2 -396x + 1476 = 0
\n" ); document.write( "----
\n" ); document.write( "x = 6 or x = 9.84
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\n" ); document.write( "Check those answers to see if either is extraneous.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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