document.write( "Question 766202: Dear Sir/ Madam,
\n" ); document.write( " Good day! kindly help me in answering this mathematical problem:
\n" ); document.write( "Prove that if roots of ax^2+bx+c=0 are reciprocals, then a=c
\n" ); document.write( "Thank you very much for your help! \n" ); document.write( "
Algebra.Com's Answer #466732 by ramkikk66(644)\"\" \"About 
You can put this solution on YOUR website!
The roots of the quadratic equation a*x^2 + b^x + c = 0 are\r
\n" ); document.write( "\n" ); document.write( "1) \"%28-b+%2B+sqrt%28b%5E2+-+4%2Aa%2Ac%29%29%2F%282%2Aa%29\"\r
\n" ); document.write( "\n" ); document.write( "and\r
\n" ); document.write( "\n" ); document.write( "2) \"%28-b+-+sqrt%28b%5E2+-+4%2Aa%2Ac%29%29%2F%282%2Aa%29\"\r
\n" ); document.write( "\n" ); document.write( "If they are reciprocals of each other\r
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\n" ); document.write( "\n" ); document.write( "Cross multiplying:\r
\n" ); document.write( "\n" ); document.write( "\"b%5E2+-+%28b%5E2+-+4%2Aa%2Ac%29+=+4%2Aa%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"4%2Aa%2Ac+=+4%2Aa%5E2\"\r
\n" ); document.write( "\n" ); document.write( "Dividing both sides by 4*a \r
\n" ); document.write( "\n" ); document.write( "We can do because we know that a cannot be 0 for a quadratic)\r
\n" ); document.write( "\n" ); document.write( "\"c+=+a\"\r
\n" ); document.write( "\n" ); document.write( "Hope you got it. Let me know if it is not clear :)\r
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