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人気のある代数 >

-11x^2=x+11

解

- 11 x^{2} = x + 11

解

x = - \frac{1}{22} - i \frac{483}{22}, x = - \frac{1}{22} + i \frac{483}{22}

解答ステップ

- 11 x^{2} = x + 11

11

を左側に移動します

- 11 x^{2} - 11 = x

x

を左側に移動します

- 11 x^{2} - 11 - x = 0

標準的な形式で書く

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

- 11 x^{2} - x - 11 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 ( - 11 ) ( - 11 )}{2 ( - 11 )}

簡素化

(- 1)^{2} - 4 (- 11) (- 11) : 483 i

x_{1, 2} = \frac{- ( - 1 ) \pm 483 i}{2 ( - 11 )}

解を分離する

x_{1} = \frac{- ( - 1 ) + 483 i}{2 ( - 11 )}, x_{2} = \frac{- ( - 1 ) - 483 i}{2 ( - 11 )}

x = \frac{- ( - 1 ) + 483 i}{2 ( - 11 )} : - \frac{1}{22} - i \frac{483}{22}

x = \frac{- ( - 1 ) - 483 i}{2 ( - 11 )} : - \frac{1}{22} + i \frac{483}{22}

二次equationの解:

x = - \frac{1}{22} - i \frac{483}{22}, x = - \frac{1}{22} + i \frac{483}{22}

グラフ

人気の例

x^{2} = 76

solvefor x,x^2y^2-y^2=x^2

so l v e f or x, x^{2} y^{2} - y^{2} = x^{2}

3 (x - 7)^{2} + 34 = 46

因数 x^2+x-6=0

f a c t or x^{2} + x - 6 = 0

3x^2-14x-4=-10x

3 x^{2} - 14 x - 4 = - 10 x