If a + b + c = 9 and ab + bc + ca = 23,


If $a+b+c=9$ and $a b+b c+c a=23$, find value of $a^{2}+b^{2}+c^{2}$



We know that,

$(a+b+c)^{2}=a^{2}+b^{2}+c^{2}+2(a b+b c+c a)$





Hence, value of required expression $a^{2}+b^{2}+c^{2}=35$


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