0.64=(x^2)/((0.1-x)^2)

解

0.64 = \frac{x ^{2}}{( 0.1 - x ) ^{2}}

x = - \frac{0.128 + 0.0256}{0.72}, x = \frac{0.0256 - 0.128}{0.72}

十進法表記

x = - 0.4, x = 0.04444 \dots

解答ステップ

0.64 = \frac{x ^{2}}{( 0.1 - x ) ^{2}}

以下で両辺を乗じる:

(0.1 - x)^{2}

0.64 (0.1 - x)^{2} = x^{2}

解く

0.64 (0.1 - x)^{2} = x^{2} : x = - \frac{0.128 + 0.0256}{0.72}, x = \frac{0.0256 - 0.128}{0.72}

x = - \frac{0.128 + 0.0256}{0.72}, x = \frac{0.0256 - 0.128}{0.72}

解を検算する

未定義の (特異) 点を求める:

x = 0.1

未定義のポイントを解に組み合わせる:

x = - \frac{0.128 + 0.0256}{0.72}, x = \frac{0.0256 - 0.128}{0.72}