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人気のある代数 >

(x+1)^2+2x=3x(x+1)+5

解

(x + 1)^{2} + 2 x = 3 x (x + 1) + 5

解

x = \frac{1}{4} - i \frac{31}{4}, x = \frac{1}{4} + i \frac{31}{4}

解答ステップ

(x + 1)^{2} + 2 x = 3 x (x + 1) + 5

拡張

(x + 1)^{2} + 2 x : x^{2} + 4 x + 1

拡張

3 x (x + 1) + 5 : 3 x^{2} + 3 x + 5

x^{2} + 4 x + 1 = 3 x^{2} + 3 x + 5

5

を左側に移動します

x^{2} + 4 x - 4 = 3 x^{2} + 3 x

3 x

を左側に移動します

x^{2} + x - 4 = 3 x^{2}

3 x^{2}

を左側に移動します

- 2 x^{2} + x - 4 = 0

解くとthe二次式

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

簡素化

1^{2} - 4 (- 2) (- 4) : 31 i

x_{1, 2} = \frac{- 1 \pm 31 i}{2 ( - 2 )}

解を分離する

x_{1} = \frac{- 1 + 31 i}{2 ( - 2 )}, x_{2} = \frac{- 1 - 31 i}{2 ( - 2 )}

x = \frac{- 1 + 31 i}{2 ( - 2 )} : \frac{1}{4} - i \frac{31}{4}

x = \frac{- 1 - 31 i}{2 ( - 2 )} : \frac{1}{4} + i \frac{31}{4}

二次equationの解:

x = \frac{1}{4} - i \frac{31}{4}, x = \frac{1}{4} + i \frac{31}{4}

グラフ

人気の例

(x-3)^2+(x-1)^2=0

(x - 3)^{2} + (x - 1)^{2} = 0

x^{2} + 4 x - 17 = 0

3 x^{2} + 42 x + 105 = 0

9x^2-10x=x^2+4x

9 x^{2} - 10 x = x^{2} + 4 x

(x + 7)^{2} = 11