solvefor x,x^2-x+2=0

解

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

x = \frac{1}{2} + i \frac{7}{2}, x = \frac{1}{2} - i \frac{7}{2}

解答ステップ

x^{2} - x + 2 = 0

解くとthe二次式

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

簡素化

(- 1)^{2} - 4 \cdot 1 \cdot 2 : 7 i

x_{1, 2} = \frac{- ( - 1 ) \pm 7 i}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 1 ) + 7 i}{2 \cdot 1}, x_{2} = \frac{- ( - 1 ) - 7 i}{2 \cdot 1}

x = \frac{- ( - 1 ) + 7 i}{2 \cdot 1} : \frac{1}{2} + i \frac{7}{2}

x = \frac{- ( - 1 ) - 7 i}{2 \cdot 1} : \frac{1}{2} - i \frac{7}{2}

二次equationの解:

x = \frac{1}{2} + i \frac{7}{2}, x = \frac{1}{2} - i \frac{7}{2}