Question

A soma das raízes da equação 10^x = raiz x de 1000^5/100 é: a) -2 b) -1 c) 0 d) 1 e) 2

Answer 1

$10^x = \sqrt[x]{\frac{1000^5}{100}} \\\\10^x = \sqrt[x]{\frac{(10^4)^5}{10^2}} \\\\10^x = \sqrt[x]{\frac{10^{20}}{10^2}} \\\\10^x = \sqrt[x]{10^{18}} \\\\10^x=10^{\frac{18}{x}}\\\\x=\frac{18}{x}\\\\x^2=18\\\\x'= \sqrt{18}\\\\x''=- \sqrt{18}$

x' + x'' = √18 + (-√18) = 0

Alternativa "c"

Answer 2

Resposta: Alternativa "c"

Explicação passo a passo: