Question

Calcular o valor de a²+ 1/a² , sabendo que a+1/a=5. ????

Answer 1

$(a + \frac{1}{a})^2 =(5)^2 \\ \\ = a^2+ \frac{a}{a} + \frac{a}{a}+ \frac{1}{a^2} = 5^2 \\ \\ =a^2+1+1+ \frac{1}{a^2} = 25 \\ \\ = a^2 + 2 + \frac{1}{a^2}=25 \\ \\ = a^2+ \frac{1}{a^2} = 25 -2 \\ \\ \boxed{\boxed{= a^2+ \frac{1}{a^2} = 23 }}$

Answer 2

Olá Bebado

a + 1/a = 5

a²  + 2a/a + 1/a² = 25

a² + 1/a² = 25 - 2 = 23 

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