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If a + b + c = 9 and ab + bc + ca = 26 find the value of a^2 + b^2 + c^2​.

 Oct 5, 2021
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a + b + c   = 9       square both sides and simplify to

a^2 + b^2 + c^2   + 2 (ab + bc + ac)  = 81

a^2 + b^2 + c^2   + 2 ( 26) = 81

a^2 + b^2 + c^2  =  29

 Oct 5, 2021

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