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人気のある代数 >

3x^2-11x+16=0

解

3 x^{2} - 11 x + 16 = 0

解

x = \frac{11}{6} + i \frac{71}{6}, x = \frac{11}{6} - i \frac{71}{6}

解答ステップ

3 x^{2} - 11 x + 16 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 3 \cdot 16}{2 \cdot 3}

簡素化

(- 11)^{2} - 4 \cdot 3 \cdot 16 : 71 i

x_{1, 2} = \frac{- ( - 11 ) \pm 71 i}{2 \cdot 3}

解を分離する

x_{1} = \frac{- ( - 11 ) + 71 i}{2 \cdot 3}, x_{2} = \frac{- ( - 11 ) - 71 i}{2 \cdot 3}

x = \frac{- ( - 11 ) + 71 i}{2 \cdot 3} : \frac{11}{6} + i \frac{71}{6}

x = \frac{- ( - 11 ) - 71 i}{2 \cdot 3} : \frac{11}{6} - i \frac{71}{6}

二次equationの解:

x = \frac{11}{6} + i \frac{71}{6}, x = \frac{11}{6} - i \frac{71}{6}

グラフ

人気の例

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

7 x^{2} - 44 x - 35 = 0

8 x^{2} + 120 = 0

(x-7)(x+2)=3x^2-5x-22

(x - 7) (x + 2) = 3 x^{2} - 5 x - 22

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

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