-34x^2+135x-449=0

解

- 34 x^{2} + 135 x - 449 = 0

x = \frac{135}{68} - i \frac{42839}{68}, x = \frac{135}{68} + i \frac{42839}{68}

解答ステップ

- 34 x^{2} + 135 x - 449 = 0

解くとthe二次式

x_{1, 2} = \frac{- 135 \pm 13 5 ^{2} - 4 ( - 34 ) ( - 449 )}{2 ( - 34 )}

簡素化

13 5^{2} - 4 (- 34) (- 449) : 42839 i

x_{1, 2} = \frac{- 135 \pm 42839 i}{2 ( - 34 )}

解を分離する

x_{1} = \frac{- 135 + 42839 i}{2 ( - 34 )}, x_{2} = \frac{- 135 - 42839 i}{2 ( - 34 )}

x = \frac{- 135 + 42839 i}{2 ( - 34 )} : \frac{135}{68} - i \frac{42839}{68}

x = \frac{- 135 - 42839 i}{2 ( - 34 )} : \frac{135}{68} + i \frac{42839}{68}

二次equationの解:

x = \frac{135}{68} - i \frac{42839}{68}, x = \frac{135}{68} + i \frac{42839}{68}