document.write( "Question 321553: slove the radical equation algebraically and check for extraneous solutions\r
\n" ); document.write( "\n" ); document.write( "the square root of 3x-2=x-4 \n" ); document.write( "

Algebra.Com's Answer #230272 by stanbon(75887) $\"\"$ $\"About$

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solve the radical equation algebraically and check for extraneous solutions
\n" ); document.write( "the square root of 3x-2=x-4
\n" ); document.write( "----
\n" ); document.write( "sqrt(3x-2) = x-4
\n" ); document.write( "---
\n" ); document.write( "Square both sides:
\n" ); document.write( "3x-2 = x^2-8x+16
\n" ); document.write( "---
\n" ); document.write( "x^2-11x+18 = 0
\n" ); document.write( "---
\n" ); document.write( "(x-2)(x-9) = 0
\n" ); document.write( "----
\n" ); document.write( "x = 2 or x = 9
\n" ); document.write( "--------------------------
\n" ); document.write( "Check solutions in the original equation:
\n" ); document.write( "sqrt(3x-2) = x-4
\n" ); document.write( "--
\n" ); document.write( "x = 2 ?
\n" ); document.write( "sqrt(4) = 2-4
\n" ); document.write( "False
\n" ); document.write( "---------------------------
\n" ); document.write( "x = 9 ?
\n" ); document.write( "sqrt(25) = 9-4
\n" ); document.write( "True
\n" ); document.write( "------------------------------
\n" ); document.write( "Final Solution: x = 9
\n" ); document.write( "=============================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "=============================
\n" ); document.write( " \n" ); document.write( "

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