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Topic: quadratic equation with two unknowns  (Read 10822 times)

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Offline xiankai

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quadratic equation with two unknowns
« on: January 10, 2007, 09:24:27 AM »
consider a quadratic equation of the form x2 + 2xy + y2 = 0

the polynomial can be factorised into (x + y)2.

however, if we add constants, the equation becomes ax2 + bxy + cy2 = 0.

it is possible to solve it then?
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Offline AWK

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Re: quadratic equation with two unknowns
« Reply #1 on: January 10, 2007, 09:50:06 AM »
It works only, if
2ac=b2
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Offline FeLiXe

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Re: quadratic equation with two unknowns
« Reply #2 on: January 10, 2007, 11:26:24 AM »
you can factorise that other polynomial, too. just subtract the roots. But it's not really a nice expression

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