abdullahkhan10 abdullahkhan10

11-08-2020
Mathematics

contestada

if m+n+p=10 and mn+np+mp=27,find the value of

m square + n square + p square

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konrad509 konrad509

11-08-2020

[tex](a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc\\a^2+b^2+c^2=(a+b+c)^2-2ab-2ac-2bc\\a^2+b^2+c^2=(a+b+c)^2-2(ab+ac+bc)\\\\m^2+n^2+p^2=10^2-2\cdot 27=100-54=46[/tex]

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