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Theory of Equations Test - 2

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Theory of Equations Test - 2
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    If a, b, c, d ∈ R then the equation (x2 + ax – 3c ) ( x2 – cx + b) ( x2 – dx + 2b ) = 0 has

    Solution

    The discriminants of the quadratic factors are,

    D1 = a2 + 12 b;

    D1 = c2 - 4 ab

    D3 = d2 - 8b.

    ∴ D1 + D2 + D3 = a2 + c2 + d2 ≥ 0

     

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