document.write( "Question 897779: find the value of 6x^3 + x^2 - 7x + 2014 if 2x^2 + x =2 \n" ); document.write( "

Algebra.Com's Answer #544468 by Edwin McCravy(20055) $\"\"$ $\"About$

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find the value of 6x^3 + x^2 - 7x + 2014 if 2x^2 + x =2
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document.write( "Let the answer = A, then\r\n" );
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document.write( "(1)  6x³ + x² - 7x + 2014 = A\r\n" );
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document.write( "Get 0 on the right of the given equation:\r\n" );
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document.write( "(2)  2x² + x - 2 = 0\r\n" );
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document.write( "Multiply (2) by -3x so that it will have a \r\n" );
document.write( "cube term that will cancel the cube term of (1)\r\n" );
document.write( "if we add them:\r\n" );
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document.write( "(3) -6x³ - 3x² - 6x = 0\r\n" );
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document.write( "Now add equations (1) and (3)\r\n" );
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document.write( "(1)   6x³ +  x² - 7x + 2014 = A\r\n" );
document.write( "(3)  -6x³ - 3x² - 6x        = 0\r\n" );
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document.write( "(4)        -2x² -  x + 2014 = A\r\n" );
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document.write( "Now add equations (4) and (2)\r\n" );
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document.write( "(4) -2x² - x + 2014 = A            \r\n" );
document.write( "(2)  2x² + x -    2 = 0\r\n" );
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document.write( "               2012 = A\r\n" );
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document.write( "The answer is 2012.\r\n" );
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document.write( "Edwin

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