document.write( "Question 1093399: Determine the number of real roots of the equation 3x-2=4/(2-x) \n" ); document.write( "

Algebra.Com's Answer #708064 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Determine the number of real roots of the equation 3x-2=4/(2-x)
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document.write( " =   ====>\r\n" );
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document.write( "(3x-2)*(2-x) = 4,\r\n" );
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document.write( "6x -3x^2 - 4 +2x = 4,\r\n" );
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document.write( "-3x^2 +8x - 8 = 0,  ====>\r\n" );
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document.write( "3x^2 -8x + 8 = 0,\r\n" );
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document.write( "discriminant  d =  = 64 - 96 = -32.\r\n" );
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document.write( "Since the discriminant is NEGATIVE, there are no real solutions.\r\n" );
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document.write( "Answer.  The number of real roots of the equation 3x-2=4/(2-x) equal to 0 (zero, ZERO).\r\n" );
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\n" ); document.write( "\n" ); document.write( "And the plot below ILLUSTRATES it.\r
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\n" ); document.write( "\n" ); document.write( "Plot y = 3x-2 (red) and y = 4/(2-x) (green)\r
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\n" ); document.write( "\n" ); document.write( "The solution by @josgarithmetic was W R O N G. Simply ignore it.\r
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