Question

Se a + 1/a = 5, qual o valor de a^2 + 1/ a^2?

Answer 1

Resposta:

Explicação passo-a-passo:

$\frac{a + 1}{a } = 5\\5a = a + 1\\4a = 1\\a = \frac{1}{4}$

$a^{2} =( \frac{1}{4})^{2} = \frac{1}{16}$

$\frac{1}{16} + 1 = \frac{17}{16}$

$\frac{17}{16}$ ÷ $\frac{1}{16}$ = $\frac{18}{16}$ = $\frac{9}{8}$