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人気のある代数 >

0.534(0.5-x)^2=x^2

解

0.534 (0.5 - x)^{2} = x^{2}

解

x = - \frac{0.534 + 0.534}{0.932}, x = \frac{0.534 - 0.534}{0.932}

+1

十進法表記

x = - 1.35703 \dots, x = 0.21110 \dots

解答ステップ

0.534 (0.5 - x)^{2} = x^{2}

拡張

0.534 (0.5 - x)^{2} : 0.1335 - 0.534 x + 0.534 x^{2}

0.1335 - 0.534 x + 0.534 x^{2} = x^{2}

x^{2}

を左側に移動します

0.1335 - 0.534 x - 0.466 x^{2} = 0

標準的な形式で書く

a x^{2} + b x + c = 0

- 0.466 x^{2} - 0.534 x + 0.1335 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 0.534 ) \pm ( - 0.534 ) ^{2} - 4 ( - 0.466 ) \cdot 0.1335}{2 ( - 0.466 )}

(- 0.534)^{2} - 4 (- 0.466) \cdot 0.1335 = 0.534

x_{1, 2} = \frac{- ( - 0.534 ) \pm 0.534}{2 ( - 0.466 )}

解を分離する

x_{1} = \frac{- ( - 0.534 ) + 0.534}{2 ( - 0.466 )}, x_{2} = \frac{- ( - 0.534 ) - 0.534}{2 ( - 0.466 )}

x = \frac{- ( - 0.534 ) + 0.534}{2 ( - 0.466 )} : - \frac{0.534 + 0.534}{0.932}

x = \frac{- ( - 0.534 ) - 0.534}{2 ( - 0.466 )} : \frac{0.534 - 0.534}{0.932}

二次equationの解:

x = - \frac{0.534 + 0.534}{0.932}, x = \frac{0.534 - 0.534}{0.932}

グラフ

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