document.write( "Question 1209875: Fill in the blanks with constants, to make a true equation:\r
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Algebra.Com's Answer #851080 by MathTherapy(10552) $\"\"$ $\"About$

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document.write( "Fill in the blanks with constants, to make a true equation:\r\n" );
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document.write( "\frac{x^2 - 6x - 3}{x^3 - 4x} = ___/x + ___/(x - 2) + ___/(x + 2) \r\n" );
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document.write( " = \r\n" );
document.write( " = \r\n" );
document.write( " = \r\n" );
document.write( " = \r\n" );
document.write( " ---- Multiplying by LCD, x(x - 2)(x + 2)\r\n" );
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document.write( "(1)x^2 (- 6)x (- 3) = (A + B + C)x^2 (2B - 2C)x (- 4A)\r\n" );
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document.write( " ----- EQUATING left-terms coefficients to right-terms coefficients\r\n" );
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document.write( "  - 3 = - 4A ---- eq (iii)\r\n" );
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document.write( "    1 = A + B + C -- eq (i)\r\n" );
document.write( "     ------ Substituting  for A \r\n" );
document.write( "     ----- eq (iv)\r\n" );
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document.write( "  - 6 = 2B - 2C ---- eq (ii)\r\n" );
document.write( "2(- 3) = 2(B - C)\r\n" );
document.write( "   - 3 = B - C ----- eq (v)\r\n" );
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document.write( "  ----- Adding eqs (iv) & (iv)\r\n" );
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document.write( "      ----- eq (iv)\r\n" );
document.write( "      -- Substituting  for B in eq (iv)\r\n" );
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document.write( " =  now becomes:  =

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