Se a + 1 = 20 Calcule a² + 1 ? a a²obs: Gabarito = 398.... Pergunta de ideia deAdrianaconcurseira

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Se a + 1 = 20 Calcule a² + 1 ?
a a²

obs: Gabarito = 398

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$\left(a+\frac{1}{a} \right)^2=a^2+\frac{1}{a^2}+2 \\
\\
20^2=a^2+\frac{1}{a^2}+2 \\
\\
400=a^2+\frac{1}{a^2}+2 \\
\\
a^2+\frac{1}{a^2}=400-2 \\
\\
\boxed{a^2+\frac{1}{a^2}=398}$

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adrianaconcurseira muito obrigada!!! me ajudou bastante sua resolução!

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