If a + b + c = 9 and ab + bc + ca = 23, then a^2 + b^2 + c^2 = - Vidyadip

Question

If $a + b + c = 9$ and $ab + bc + ca = 23,$ then $a^2 + b^2 + c^2 =$

✓

Answer

$(a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca$
Hence$, 9^2 = a^2 + b^2 + c^2 + 2 \times 23$
$\Rightarrow a^2 + b^2 + c^2 = 35$

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