7/(5*(-7x^2+2)^2)= 5/7

解

\frac{7}{5 \cdot ( - 7 x ^{2} + 2 ) ^{2}} = \frac{5}{7}

x = \frac{3}{35}, x = - \frac{3}{35}, x = \frac{17}{35}, x = - \frac{17}{35}

十進法表記

x = 0.29277 \dots, x = - 0.29277 \dots, x = 0.69693 \dots, x = - 0.69693 \dots

解答ステップ

\frac{7}{5 ( - 7 x ^{2} + 2 ) ^{2}} = \frac{5}{7}

たすき掛け

49 = 25 (- 7 x^{2} + 2)^{2}

解く

49 = 25 (- 7 x^{2} + 2)^{2} : x = \frac{3}{35}, x = - \frac{3}{35}, x = \frac{17}{35}, x = - \frac{17}{35}

x = \frac{3}{35}, x = - \frac{3}{35}, x = \frac{17}{35}, x = - \frac{17}{35}

解を検算する

未定義の (特異) 点を求める:

x = \frac{2}{7}, x = - \frac{2}{7}

未定義のポイントを解に組み合わせる:

x = \frac{3}{35}, x = - \frac{3}{35}, x = \frac{17}{35}, x = - \frac{17}{35}