document.write( "Question 1195204: Solve these two equations:\r
\n" ); document.write( "\n" ); document.write( "(a) The quadratic equation \"2ax%5E2-4ax%2Ba%2B1=0\" has two roots. If one root is five times the other, what is the value of a?\r
\n" ); document.write( "\n" ); document.write( "(b) If \"x%2B2\" and \"x-3\" are factors of the polynomial \"p%28x%29+=+x%5E3%2B5x%5E2%2Bax%2Bb\", find \"a\".
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Algebra.Com's Answer #827619 by lotusjayden(18)\"\" \"About 
You can put this solution on YOUR website!
I'll solve this part b by myself. \r
\n" ); document.write( "\n" ); document.write( "(b)   If \"x%2B2\" and \"x-3\" are factors of the polynomial \"p%28x%29+=+x%5E3%2B5x%5E2%2Bax%2Bb\",
\n" ); document.write( "        find \"a\".
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document.write( "First, you should multiply the two known factors together: \r\n" );
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document.write( "\"%28x%2B2%29%28x-3%29\"\r\n" );
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document.write( "which simplifies to:\r\n" );
document.write( "\"x%5E2-x-6\"\r\n" );
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document.write( "after you get that, one method to solve this problem is to do trial and error:\r\n" );
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document.write( "After a while, you should get:\r\n" );
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document.write( "\"%28x%5E2-x-6%29%28x%2B6%29\"\r\n" );
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document.write( "The simplified version is:\r\n" );
document.write( "\"x%5E3%2B5x%5E2-12x-36\"\r\n" );
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document.write( "Now, you can see that \"a=-12\", and \"b=-36\".\r\n" );
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document.write( "Thus we get the ANSWER :  a = \"-12\".\r\n" );
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