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dr_cezar1
Pe: 2007-10-27T18:17:05+03:00

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  1. ex-admin
    profesor

    Daca sistemul dat are o solutie unica atunci si ecuatia

    x^2 + y^2 = m - x - y

    are o solutie unica \left( {x,y} \right) \in R^2

    Aceasta ecuatie este echivalenta cu:

        \[ \left( {x + \frac{1}{2}} \right)^2 + \left( {y + \frac{1}{2}} \right)^2 = m + \frac{1}{2} \]

    si are solutie unica numai daca \[ m + \frac{1}{2} = 0 .

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