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受欢迎的代数 >

6x^2-4x+5=0

解答

6 x^{2} - 4 x + 5 = 0

解答

x = \frac{1}{3} + i \frac{26}{6}, x = \frac{1}{3} - i \frac{26}{6}

求解步骤

6 x^{2} - 4 x + 5 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 \cdot 6 \cdot 5}{2 \cdot 6}

化简

(- 4)^{2} - 4 \cdot 6 \cdot 5 : 226 i

x_{1, 2} = \frac{- ( - 4 ) \pm 2 26 i}{2 \cdot 6}

将解分隔开

x_{1} = \frac{- ( - 4 ) + 2 26 i}{2 \cdot 6}, x_{2} = \frac{- ( - 4 ) - 2 26 i}{2 \cdot 6}

x = \frac{- ( - 4 ) + 2 26 i}{2 \cdot 6} : \frac{1}{3} + i \frac{26}{6}

x = \frac{- ( - 4 ) - 2 26 i}{2 \cdot 6} : \frac{1}{3} - i \frac{26}{6}

二次方程组的解是:

x = \frac{1}{3} + i \frac{26}{6}, x = \frac{1}{3} - i \frac{26}{6}

作图

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