document.write( "Question 85363This question is from textbook ALGEBRA 1
\n" ); document.write( ": How do I solve 2/3x = the square root of 24x - 128? \n" ); document.write( "
Algebra.Com's Answer #61570 by ankor@dixie-net.com(22740)\"\" \"About 
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How do I solve 2/3x = the square root of 24x - 128?
\n" ); document.write( "This problem, as written, is ambiguous, a few brackets would do wonders:
\n" ); document.write( "Do you mean:
\n" ); document.write( "\"2%2F%283x%29\" = \"sqrt%2824x%29\" - 128
\n" ); document.write( "or
\n" ); document.write( "\"%282%2F3%29x\" = \"sqrt%2824x%29\" - 128
\n" ); document.write( "or
\n" ); document.write( "\"%282%2F3%29x\" = \"sqrt%2824x-128%29\"
\n" ); document.write( ":
\n" ); document.write( "The last has integer solutions, so will assume that is it:
\n" ); document.write( ":
\n" ); document.write( "Multiply equation by 3 and get rid of the denominator:
\n" ); document.write( "2x = 3*\"sqrt%2824x-128%29\"
\n" ); document.write( ":
\n" ); document.write( "Square both sides and you have:
\n" ); document.write( "4x^2 = 9(24x-128)
\n" ); document.write( ":
\n" ); document.write( "4x^2 = 216x - 1152
\n" ); document.write( ":
\n" ); document.write( "4x^2 - 216x + 1152 = 0; arrange as a quadratic equation
\n" ); document.write( ":
\n" ); document.write( "Simplify, divide equation by 4
\n" ); document.write( "x^2 - 54x - 288 = 0
\n" ); document.write( ":
\n" ); document.write( "Factors to:
\n" ); document.write( "(x - 48)(x - 6) = 0
\n" ); document.write( ":
\n" ); document.write( "Solutions are: x = +6 and x = +48
\n" ); document.write( ":
\n" ); document.write( "You should check both solutions in the original equation \n" ); document.write( "
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