document.write( "Question 1087996: Could someone help me with this question step-by-step using the quadratic formula?
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Algebra.Com's Answer #702250 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "3x²-17x+10 = 0\r\n" );
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document.write( "compare to\r\n" );
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document.write( "Ax²+Bx+C = 0\r\n" );
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document.write( "A=3, B=-17, C=10\r\n" );
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document.write( "Substitute in this:\r\n" );
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document.write( "Using the +,\r\n" );
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document.write( "  <--that's one solution.\r\n" );
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document.write( "Using the -,\r\n" );
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document.write( "  <--that's the other solution.\r\n" );
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document.write( "--------------------\r\n" );
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document.write( "Notice that the problem could have been done by factoring:\r\n" );
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document.write( " 3x²-17x+10 = 0\r\n" );
document.write( "(x-5)(3x-2) = 0\r\n" );
document.write( " x-5=0; 3x-2=0\r\n" );
document.write( "   x=5;   3x=2\r\n" );
document.write( "           x=2/3\r\n" );
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document.write( "But they wanted you to do it by the quadratic formula to give\r\n" );
document.write( "you practice using it.  Not all quadratics are factorable and\r\n" );
document.write( "we must use the quadratic formula on them.  The ones that won't\r\n" );
document.write( "factor have irrational square roots, and they wanted to give\r\n" );
document.write( "you some to do that didn't have those, so the only ones they\r\n" );
document.write( "could give you were ones that could be done by factoring.\r\n" );
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document.write( "Edwin

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