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人気のある代数 >

(u+1)(u^2-2)=(u+3)^3

解

(u + 1) (u^{2} - 2) = (u + 3)^{3}

解

u = - \frac{29}{16} - i \frac{87}{16}, u = - \frac{29}{16} + i \frac{87}{16}

解答ステップ

(u + 1) (u^{2} - 2) = (u + 3)^{3}

拡張

(u + 1) (u^{2} - 2) : u^{3} - 2 u + u^{2} - 2

拡張

(u + 3)^{3} : u^{3} + 9 u^{2} + 27 u + 27

u^{3} - 2 u + u^{2} - 2 = u^{3} + 9 u^{2} + 27 u + 27

両辺から

u^{3} + 9 u^{2} + 27 u + 27

を引く

u^{3} - 2 u + u^{2} - 2 - (u^{3} + 9 u^{2} + 27 u + 27) = u^{3} + 9 u^{2} + 27 u + 27 - (u^{3} + 9 u^{2} + 27 u + 27)

簡素化

- 8 u^{2} - 29 u - 29 = 0

解くとthe二次式

u_{1, 2} = \frac{- ( - 29 ) \pm ( - 29 ) ^{2} - 4 ( - 8 ) ( - 29 )}{2 ( - 8 )}

簡素化

(- 29)^{2} - 4 (- 8) (- 29) : 87 i

u_{1, 2} = \frac{- ( - 29 ) \pm 87 i}{2 ( - 8 )}

解を分離する

u_{1} = \frac{- ( - 29 ) + 87 i}{2 ( - 8 )}, u_{2} = \frac{- ( - 29 ) - 87 i}{2 ( - 8 )}

u = \frac{- ( - 29 ) + 87 i}{2 ( - 8 )} : - \frac{29}{16} - i \frac{87}{16}

u = \frac{- ( - 29 ) - 87 i}{2 ( - 8 )} : - \frac{29}{16} + i \frac{87}{16}

二次equationの解:

u = - \frac{29}{16} - i \frac{87}{16}, u = - \frac{29}{16} + i \frac{87}{16}

グラフ

人気の例

4.9 x^{2} = 19.6

-x^3+(x-5)^3+1115=0

- x^{3} + (x - 5)^{3} + 1115 = 0

2/7*x^2+3/4*x= 1/4*x

\frac{2}{7} \cdot x^{2} + \frac{3}{4} \cdot x = \frac{1}{4} \cdot x

solvefor x,(x^2)/9-(y^2)/(16)= z/4

so l v e f or x, \frac{x ^{2}}{9} - \frac{y ^{2}}{16} = \frac{z}{4}

(x+3}{4-3}=\frac{(x+5)(x-2))/3

\frac{x + 3}{4 - 3} = \frac{( x + 5 ) ( x - 2 )}{3}