dabicvietboi dabicvietboi

17-07-2018
Mathematics

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if [tex] (a+b)^{2} [/tex]=293 and ab=14, what is the value of [tex] a^{2} [/tex]+[tex] b^{2} [/tex]?

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WojtekR WojtekR

17-07-2018

[tex] (a+b)^2=a^2+2\cdot ab+b^2\\\\293=a^2+2\cdot 14+b^2\\\\293=a^2+28+b^2\\\\a^2+b^2=293-28\\\\\boxed{a^2+b^2=265} [/tex]

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