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受欢迎的代数 >

6x^2-11x+18=0

解答

6 x^{2} - 11 x + 18 = 0

解答

x = \frac{11}{12} + i \frac{311}{12}, x = \frac{11}{12} - i \frac{311}{12}

求解步骤

6 x^{2} - 11 x + 18 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 6 \cdot 18}{2 \cdot 6}

化简

(- 11)^{2} - 4 \cdot 6 \cdot 18 : 311 i

x_{1, 2} = \frac{- ( - 11 ) \pm 311 i}{2 \cdot 6}

将解分隔开

x_{1} = \frac{- ( - 11 ) + 311 i}{2 \cdot 6}, x_{2} = \frac{- ( - 11 ) - 311 i}{2 \cdot 6}

x = \frac{- ( - 11 ) + 311 i}{2 \cdot 6} : \frac{11}{12} + i \frac{311}{12}

x = \frac{- ( - 11 ) - 311 i}{2 \cdot 6} : \frac{11}{12} - i \frac{311}{12}

二次方程组的解是:

x = \frac{11}{12} + i \frac{311}{12}, x = \frac{11}{12} - i \frac{311}{12}

作图

流行的例子

(k - 6)^{2} = 49

36 = x^{2} - 4

(x - 7)^{2} - 16 = 0

6 = 3 x^{2}

4 x^{2} - 4 x - 99 = 0