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人気のある代数 >

-0.1x^2+(1-d)x+1=0

解

- 0.1 x^{2} + (1 - d) x + 1 = 0

解

x = - \frac{- 10 + 10 d + 100 d ^{2} - 200 d + 140}{2}, x = - \frac{- 10 + 10 d - 100 d ^{2} - 200 d + 140}{2}

解答ステップ

- 0.1 x^{2} + (1 - d) x + 1 = 0

以下で両辺を乗じる:

10

- x^{2} + 10 x (1 - d) + 10 = 0

拡張

- x^{2} + 10 x (1 - d) + 10 : - x^{2} + 10 x - 10 d x + 10

- x^{2} + 10 x - 10 d x + 10 = 0

標準的な形式で書く

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

- x^{2} + (10 - 10 d) x + 10 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( 10 - 10 d ) \pm ( 10 - 10 d ) ^{2} - 4 ( - 1 ) \cdot 10}{2 ( - 1 )}

簡素化

(10 - 10 d)^{2} - 4 (- 1) \cdot 10 : 100 d^{2} - 200 d + 140

x_{1, 2} = \frac{- ( 10 - 10 d ) \pm 100 d ^{2} - 200 d + 140}{2 ( - 1 )}

解を分離する

x_{1} = \frac{- ( 10 - 10 d ) + 100 d ^{2} - 200 d + 140}{2 ( - 1 )}, x_{2} = \frac{- ( 10 - 10 d ) - 100 d ^{2} - 200 d + 140}{2 ( - 1 )}

x = \frac{- ( 10 - 10 d ) + 100 d ^{2} - 200 d + 140}{2 ( - 1 )} : - \frac{- 10 + 10 d + 100 d ^{2} - 200 d + 140}{2}

x = \frac{- ( 10 - 10 d ) - 100 d ^{2} - 200 d + 140}{2 ( - 1 )} : - \frac{- 10 + 10 d - 100 d ^{2} - 200 d + 140}{2}

二次equationの解:

x = - \frac{- 10 + 10 d + 100 d ^{2} - 200 d + 140}{2}, x = - \frac{- 10 + 10 d - 100 d ^{2} - 200 d + 140}{2}

グラフ

人気の例

104 = 8 y^{2} + 8

u^{2} + u = 0

3 a^{2} = 27

(2x-2)^2=-2(x-3/4)^2+9/8

(2 x - 2)^{2} = - 2 (x - \frac{3}{4})^{2} + \frac{9}{8}

- 7 x^{2} + x + 6 = 0