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人気のある代数 >

-0.002x^2-0.4x+230=0.0004x^2+0.1x+156

解

- 0.002 x^{2} - 0.4 x + 230 = 0.0004 x^{2} + 0.1 x + 156

解

x = - \frac{0.5 + 0.9604}{0.0048}, x = \frac{0.9604 - 0.5}{0.0048}

+1

十進法表記

x = - 308.33333 \dots, x = 100

解答ステップ

- 0.002 x^{2} - 0.4 x + 230 = 0.0004 x^{2} + 0.1 x + 156

156

を左側に移動します

- 0.002 x^{2} - 0.4 x + 74 = 0.0004 x^{2} + 0.1 x

0.1 x

を左側に移動します

- 0.002 x^{2} - 0.5 x + 74 = 0.0004 x^{2}

0.0004 x^{2}

を左側に移動します

- 0.0024 x^{2} - 0.5 x + 74 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 0.5 ) \pm ( - 0.5 ) ^{2} - 4 ( - 0.0024 ) \cdot 74}{2 ( - 0.0024 )}

(- 0.5)^{2} - 4 (- 0.0024) \cdot 74 = 0.9604

x_{1, 2} = \frac{- ( - 0.5 ) \pm 0.9604}{2 ( - 0.0024 )}

解を分離する

x_{1} = \frac{- ( - 0.5 ) + 0.9604}{2 ( - 0.0024 )}, x_{2} = \frac{- ( - 0.5 ) - 0.9604}{2 ( - 0.0024 )}

x = \frac{- ( - 0.5 ) + 0.9604}{2 ( - 0.0024 )} : - \frac{0.5 + 0.9604}{0.0048}

x = \frac{- ( - 0.5 ) - 0.9604}{2 ( - 0.0024 )} : \frac{0.9604 - 0.5}{0.0048}

二次equationの解:

x = - \frac{0.5 + 0.9604}{0.0048}, x = \frac{0.9604 - 0.5}{0.0048}

グラフ

人気の例

(x - 7) (x + 9) = 0

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