Question

Sabendo que a+b=5 e a.b= 12 determine o valor de a²+b²

Answer 1

$a+b = 5 \\\\ (a+b)^{2} = (5)^{2} \\\\ a^{2}+2ab+b^{2} = 25 \\\\ a^{2}+2 \cdot (12)+b^{2} = 25 \\\\ a^{2}+24+b^{2} = 25 \\\\ a^{2}+b^{2} = 25-24 \\\\ \boxed{\boxed{a^{2}+b^{2} = 1}}$