document.write( "Question 630519: If m and n are the roots of the equation $\"+ax%5E2%2Bbx%2Bc=0+\"$ then what is the equation whose roots are $\"+m%2B%281%2Fn%29+\"$ and $\"+n%2B%281%2Fm%29+\"$ ? \n" ); document.write( "

Algebra.Com's Answer #397023 by richard1234(7193) $\"\"$ $\"About$

You can put this solution on YOUR website!
By Vieta's formulas,

and

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\n" ); document.write( "\n" ); document.write( "Also, the quadratic that we want can be written in the form

. Note that -d is the sum of the roots and e is the product of the roots. Add/multiply the two given roots, write in terms of a,b,c and you're done. \n" ); document.write( "

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