document.write( "Question 440168: here is the problem im unsure of how to do..\r
\n" ); document.write( "\n" ); document.write( "Solve the equation and check for extraneous solutions:\r
\n" ); document.write( "\n" ); document.write( "3(x-5)^3/2-6=18\r
\n" ); document.write( "\n" ); document.write( "i really dont know how to do this. If you could help me that would be great. Thank you
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Algebra.Com's Answer #304141 by rwm(914)\"\" \"About 
You can put this solution on YOUR website!
3(x-5)^3/2-6=18
\n" ); document.write( "add 6 to both sides\r
\n" ); document.write( "\n" ); document.write( "3(x-5)^3/2=24
\n" ); document.write( "divide both sides by 3\r
\n" ); document.write( "\n" ); document.write( "(x-5)^3/2=8
\n" ); document.write( "square both sides\r
\n" ); document.write( "\n" ); document.write( "(x-5)^3=64
\n" ); document.write( "get the cube roots
\n" ); document.write( "x-5=\"64%5E%281%2F3%29%29\"
\n" ); document.write( "x-5=4
\n" ); document.write( "x=9
\n" ); document.write( "(x-5)^3-64 = 0
\n" ); document.write( "x^3-15 x^2+75 x-189 = 0
\n" ); document.write( "x = 3-2 i sqrt(3)
\n" ); document.write( "x = 3+2 i sqrt(3)
\n" ); document.write( "x=9
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