(x^4+1)/((x^4))=119

解

\frac{x ^{4} + 1}{( x ^{4} )} = 119

x = \frac{1}{118}, x = - \frac{1}{118}, x = - \frac{1}{118}, x = - - \frac{1}{118}

解答ステップ

\frac{x ^{4} + 1}{( x ^{4} )} = 119

簡素化

\frac{x ^{4} + 1}{( x ^{4} )} : \frac{x ^{4} + 1}{x ^{4}}

\frac{x ^{4} + 1}{x ^{4}} = 119

以下で両辺を乗じる:

x^{4}

x^{4} + 1 = 119 x^{4}

解く

x^{4} + 1 = 119 x^{4} : x = \frac{1}{118}, x = - \frac{1}{118}, x = - \frac{1}{118}, x = - - \frac{1}{118}

x = \frac{1}{118}, x = - \frac{1}{118}, x = - \frac{1}{118}, x = - - \frac{1}{118}

解を検算する

未定義の (特異) 点を求める:

x = 0

未定義のポイントを解に組み合わせる:

x = \frac{1}{118}, x = - \frac{1}{118}, x = - \frac{1}{118}, x = - - \frac{1}{118}