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Kaya Renger Coordinator

14/05/2018 at 15:15
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Give a2 + b2 = c2 + d2 = 2017 and ac + bd = 0 

Calculate the value of A = ab + cd 




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    Alone 15/05/2018 at 14:00

    We have:\(\left(ac+bd\right).\left(ad+bc\right)=0\)

    \(\Leftrightarrow a^2cd+bad^2+abc^2+b^2cd=0\)

    \(\Leftrightarrow\left(a^2+b^2\right).cd+ba\left(c^2+d^2\right)=0\)

    \(\Leftrightarrow2017.ab+2017.cd=0\Leftrightarrow ab+cd=0\)

    Kaya Renger selected this answer.
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    Trần Đức Huy 15/05/2018 at 08:12

    Prove that: a2+b22≥(a+b2)2hihi


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