document.write( "Question 487465: Please help me answer this.\r
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Algebra.Com's Answer #333059 by Edwin McCravy(20054) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "This problem could be done by factoring\r\n" );
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document.write( "3x² +  x - 4 = 0\r\n" );
document.write( " (3x+4)(x-1) = 0\r\n" );
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document.write( "3x+4= 0;  x-1=0\r\n" );
document.write( "  3x=-4     x=1\r\n" );
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document.write( "But you are to use the quadratic formula:\r\n" );
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document.write( "3x² +  x - 4 = 0   <--- take your problem and \r\n" );
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document.write( "3x² + 1x - 4 = 0   <--- compare it to \r\n" );
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document.write( "ax² + bx + c = 0   <--- this \r\n" );
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document.write( "a = 3, b = 1, c = -4 which we substitute into:   \r\n" );
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document.write( "That breaks into two solutions:\r\n" );
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document.write( "   and  \r\n" );
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document.write( "Simplifying the first one:\r\n" );
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document.write( "Simplifying the second one:\r\n" );
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document.write( "So the solutions are 1 and , the same\r\n" );
document.write( "as when we solved it by factoring.  The reason we\r\n" );
document.write( "have to use the quadratic formula is because most\r\n" );
document.write( "quadratic equations will not factor.\r\n" );
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document.write( "Edwin

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