document.write( "Question 1167313: What would be the solution for x in the rational equation:\r
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Algebra.Com's Answer #852019 by MathTherapy(10557) $\"\"$ $\"About$

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document.write( "What would be the solution for x in the rational equation:\r\n" );
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document.write( "x^2/(x-3)= (x+2)/(2x-5)\r\n" );
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document.write( " ---- Cross-multiplying\r\n" );
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document.write( " <===== As the polynomial's LARGEST exponent is 3, there will be 3 solutions!!\r\n" );
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document.write( "Using the RATIONAL ROOT THEOREM, we find that 2 is a solution/zero of the above trinomial, so x = 2, or x - 2 = 0.\r\n" );
document.write( "Hence, x - 2 is a factor of the polynomial.\r\n" );
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document.write( "Using SYNTHETIC DIVISION, or LONG DIVISION of POLYNOMIALS, the other factor of the polynomial is the quadratic, , so the factors of  are: .\r\n" );
document.write( "As  CANNOT be factored with INTEGERS, its solutions/zeroes can be found, either by COMPLETING the SQUARE\r\n" );
document.write( "or using the QUADRATIC EQUATION formula. Using the latter, we get: \r\n" );
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document.write( " <==== QUADRATIC EQUATION formula, where: \r\n" );
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document.write( "                           \r\n" );
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document.write( "                            \r\n" );
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document.write( "The 3 solutions/zeroes (1 RATIONAL and 2 IRRATIONAL):   ;    ;

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