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人気のある代数 >

(x-3.5)^2+(0.268x-0.402)^2=4

解

(x - 3.5)^{2} + (0.268 x - 0.402)^{2} = 4

解

x = \frac{11.215472}{2.143648}, x = \frac{3.215472}{2.143648}

+1

十進法表記

x = 5.23195 \dots, x = 1.5

解答ステップ

(x - 3.5)^{2} + (0.268 x - 0.402)^{2} = 4

拡張

(x - 3.5)^{2} + (0.268 x - 0.402)^{2} : 1.071824 x^{2} - 7.215472 x + 12.411604

1.071824 x^{2} - 7.215472 x + 12.411604 = 4

4

を左側に移動します

1.071824 x^{2} - 7.215472 x + 8.411604 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 7.215472 ) \pm ( - 7.215472 ) ^{2} - 4 \cdot 1.071824 \cdot 8.411604}{2 \cdot 1.071824}

(- 7.215472)^{2} - 4 \cdot 1.071824 \cdot 8.411604 = 4

x_{1, 2} = \frac{- ( - 7.215472 ) \pm 4}{2 \cdot 1.071824}

解を分離する

x_{1} = \frac{- ( - 7.215472 ) + 4}{2 \cdot 1.071824}, x_{2} = \frac{- ( - 7.215472 ) - 4}{2 \cdot 1.071824}

x = \frac{- ( - 7.215472 ) + 4}{2 \cdot 1.071824} : \frac{11.215472}{2.143648}

x = \frac{- ( - 7.215472 ) - 4}{2 \cdot 1.071824} : \frac{3.215472}{2.143648}

二次equationの解:

x = \frac{11.215472}{2.143648}, x = \frac{3.215472}{2.143648}

グラフ

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