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January 25th, 2010, 05:28 PM   #1
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Find the quadratic equation with integer coefficients in...

The equation , has two non-zero roots m and n. Find the quadratic equation with integer coefficients in the form of whose roots are and
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January 26th, 2010, 01:29 PM   #2
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Re: Find the quadratic equation with integer coefficients in...

Quote:
Originally Posted by alevis
The equation , has two non-zero roots m and n. Find the quadratic equation with integer coefficients in the form of whose roots are and
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January 26th, 2010, 03:00 PM   #3
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Re: Find the quadratic equation with integer coefficients in...

Quote:
Originally Posted by alevis
The equation , has two non-zero roots m and n. Find the quadratic equation with integer coefficients in the form of whose roots are and

Please explain how you arrived at that solution
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January 26th, 2010, 08:20 PM   #4
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Re: Find the quadratic equation with integer coefficients in...

Expand (x-m)(x-n) and and compare. What happens if you multiply the latter by mn?
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January 27th, 2010, 12:42 PM   #5
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Re: Find the quadratic equation with integer coefficients in...

Quote:
Originally Posted by alevis
Quote:
Originally Posted by alevis
The equation , has two non-zero roots m and n. Find the quadratic equation with integer coefficients in the form of whose roots are and

Please explain how you arrived at that solution
Replace x by 1/x.
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