document.write( "Question 154145: ___5___ - ___8___ = 1
\n" ); document.write( "2x-3 3-2x
\n" ); document.write( "

Algebra.Com's Answer #113457 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
___5___ - ___8___ = 1
\n" ); document.write( "2x-3 3-2x \r
\n" ); document.write( "\n" ); document.write( "-------------------------------
\n" ); document.write( "Re-write:
\n" ); document.write( "[5/(2x-3)] - [8/(3-2x)] = 1\r
\n" ); document.write( "\n" ); document.write( "Multiply thru by (2x-3)[-(2x-3)] = -(2x-3)^2
\n" ); document.write( "-----------------------------
\n" ); document.write( "-5(2x-3) -8(2x-3) = -(2x-3)^2\r
\n" ); document.write( "\n" ); document.write( "-10x + 15 -16x + 24 = -[4x^2 -12x + 9]
\n" ); document.write( "-26x + 39 = -4x^2 + 12x -9
\n" ); document.write( "4x^2 -38x + 48 = 0
\n" ); document.write( "2(x^2 - 19x + 24) = 0
\n" ); document.write( "x^2 -19x + 24 = 0
\n" ); document.write( "x = [19 +- sqrt(19^2-4*1*24)]/2\r
\n" ); document.write( "\n" ); document.write( "x = [19 +- sqrt(265)]/2\r
\n" ); document.write( "\n" ); document.write( "x = [19 +- 16.2788...]/2\r
\n" ); document.write( "\n" ); document.write( "x = 17.639410... or x = 1.3606...
\n" ); document.write( "cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );