Question

If a+b+c=11 and ab+bc+ca=42 then a^2+b^2+c^2=​

Answer 1

$\huge\boxed{\underline{\underline{\green{\tt Solution}}}} </p><p></p><p>$

$(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca$

$\implies \: a² + b² + c² = (a + b + c)² - 2 \: (ab + bc + ca)$

$\implies \: a² + b² + c² = (11)² - 2 \: \times 42 = 121 - 84 = 37$

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