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人気のある代数 >

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

解

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

解

x = - \frac{1}{2} - i \frac{15}{6}, x = - \frac{1}{2} + i \frac{15}{6}

解答ステップ

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

拡張

- x (x + 3) : - x^{2} - 3 x

拡張

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

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

2

を左側に移動します

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

2 x^{2}

を左側に移動します

- 3 x^{2} - 3 x - 2 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 ( - 3 ) ( - 2 )}{2 ( - 3 )}

簡素化

(- 3)^{2} - 4 (- 3) (- 2) : 15 i

x_{1, 2} = \frac{- ( - 3 ) \pm 15 i}{2 ( - 3 )}

解を分離する

x_{1} = \frac{- ( - 3 ) + 15 i}{2 ( - 3 )}, x_{2} = \frac{- ( - 3 ) - 15 i}{2 ( - 3 )}

x = \frac{- ( - 3 ) + 15 i}{2 ( - 3 )} : - \frac{1}{2} - i \frac{15}{6}

x = \frac{- ( - 3 ) - 15 i}{2 ( - 3 )} : - \frac{1}{2} + i \frac{15}{6}

二次equationの解:

x = - \frac{1}{2} - i \frac{15}{6}, x = - \frac{1}{2} + i \frac{15}{6}

グラフ

人気の例

solvefor q,-0.3q^2+36q=-3q-100

so l v e f or q, - 0.3 q^{2} + 36 q = - 3 q - 100

1/8 x^2+2x+16=0

\frac{1}{8} x^{2} + 2 x + 16 = 0

2 (x + 1)^{2} = 18

solvefor x,3x^2-6y^2+3xy+x+2y=0

so l v e f or x, 3 x^{2} - 6 y^{2} + 3 x y + x + 2 y = 0

h^2+80^2=(2h+11)^2

h^{2} + 8 0^{2} = (2 h + 11)^{2}