document.write( "Question 299581: Solve by applying the Quadratic Formula; all radicals should be simplified as far as possible. Show your work.\r
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Algebra.Com's Answer #215211 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"a%5E2+-+12a+%2B+35+=+0\"\r\n" );
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document.write( "Since the quadratic formula itself contains the letter a,\r\n" );
document.write( "we must avoid confusion between the two uses for a.  \r\n" );
document.write( "So let's use another letter besides a.  Let's substitute x\r\n" );
document.write( "for a:\r\n" );
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document.write( "\"x%5E2+-+12x+%2B+35+=+0\"\r\n" );
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document.write( "\"a=1\", \"b=-12\", \"c=35\"\r\n" );
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document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"\r\n" );
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document.write( "\"x+=+%2812+%2B-+sqrt%28144-140%29+%29%2F2+\"\r\n" );
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document.write( "\"x+=+%2812+%2B-+sqrt%284%29+%29%2F2+\"\r\n" );
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document.write( "\"x+=+%2812+%2B-+2+%29%2F2+\"\r\n" );
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document.write( "Using the +\r\n" );
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document.write( "\"x+=+%2812+%2B+2+%29%2F2+=14%2F2=7\"\r\n" );
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document.write( "Using the -\r\n" );
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document.write( "\"x+=+%2812+-+2+%29%2F2+=10%2F2=5\"\r\n" );
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document.write( "There are two solutions 7 and 5\r\n" );
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document.write( "Now we switch back to a from x, and get\r\n" );
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document.write( "a = 7 and a = 5.\r\n" );
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document.write( "Edwin
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