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人気のある代数 >

-3x^2+5x-3=0

解

- 3 x^{2} + 5 x - 3 = 0

解

x = \frac{5}{6} - i \frac{11}{6}, x = \frac{5}{6} + i \frac{11}{6}

解答ステップ

- 3 x^{2} + 5 x - 3 = 0

解くとthe二次式

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 ( - 3 ) ( - 3 )}{2 ( - 3 )}

簡素化

5^{2} - 4 (- 3) (- 3) : 11 i

x_{1, 2} = \frac{- 5 \pm 11 i}{2 ( - 3 )}

解を分離する

x_{1} = \frac{- 5 + 11 i}{2 ( - 3 )}, x_{2} = \frac{- 5 - 11 i}{2 ( - 3 )}

x = \frac{- 5 + 11 i}{2 ( - 3 )} : \frac{5}{6} - i \frac{11}{6}

x = \frac{- 5 - 11 i}{2 ( - 3 )} : \frac{5}{6} + i \frac{11}{6}

二次equationの解:

x = \frac{5}{6} - i \frac{11}{6}, x = \frac{5}{6} + i \frac{11}{6}

グラフ

人気の例

4 x^{2} - 5 x = 6

(x + 2) (x - 7) = 0

x^{2} - 8 x - 240 = 0

(x+2)(x-5)=6-3x

(x + 2) (x - 5) = 6 - 3 x

completesquare x^2-4x+8

co m pl e t es q u a re x^{2} - 4 x + 8