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人気のある代数 >

b(x)=(-84x^2+1080x)-(13.4x^2+360+2010)

解

b (x) = (- 84 x^{2} + 1080 x) - (13.4 x^{2} + 360 + 2010)

解

x = - \frac{- 1080 + b + b ^{2} - 2160 b + 243048}{194.8}, x = - \frac{- 1080 + b - b ^{2} - 2160 b + 243048}{194.8}

解答ステップ

b (x) = (- 84 x^{2} + 1080 x) - (13.4 x^{2} + 360 + 2010)

拡張

(- 84 x^{2} + 1080 x) - (13.4 x^{2} + 360 + 2010) : - 97.4 x^{2} + 1080 x - 2370

b x = - 97.4 x^{2} + 1080 x - 2370

辺を交換する

- 97.4 x^{2} + 1080 x - 2370 = b x

b x

を左側に移動します

- 97.4 x^{2} + 1080 x - 2370 - b x = 0

標準的な形式で書く

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

- 97.4 x^{2} + (1080 - b) x - 2370 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( 1080 - b ) \pm ( 1080 - b ) ^{2} - 4 ( - 97.4 ) ( - 2370 )}{2 ( - 97.4 )}

簡素化

(1080 - b)^{2} - 4 (- 97.4) (- 2370) : b^{2} - 2160 b + 243048

x_{1, 2} = \frac{- ( 1080 - b ) \pm b ^{2} - 2160 b + 243048}{2 ( - 97.4 )}

解を分離する

x_{1} = \frac{- ( 1080 - b ) + b ^{2} - 2160 b + 243048}{2 ( - 97.4 )}, x_{2} = \frac{- ( 1080 - b ) - b ^{2} - 2160 b + 243048}{2 ( - 97.4 )}

x = \frac{- ( 1080 - b ) + b ^{2} - 2160 b + 243048}{2 ( - 97.4 )} : - \frac{- 1080 + b + b ^{2} - 2160 b + 243048}{194.8}

x = \frac{- ( 1080 - b ) - b ^{2} - 2160 b + 243048}{2 ( - 97.4 )} : - \frac{- 1080 + b - b ^{2} - 2160 b + 243048}{194.8}

二次equationの解:

x = - \frac{- 1080 + b + b ^{2} - 2160 b + 243048}{194.8}, x = - \frac{- 1080 + b - b ^{2} - 2160 b + 243048}{194.8}

グラフ

人気の例

70k^2+118k+28=0

70 k^{2} + 118 k + 28 = 0

y^{2} - 5 y = 6

y^{2} - 5 y = 7

solvefor x,(1-t^2)x^2-2t^2x-(t^2+1)=0

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