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受欢迎的代数 >

-3x^2-5x-6=0

解答

- 3 x^{2} - 5 x - 6 = 0

解答

x = - \frac{5}{6} - i \frac{47}{6}, x = - \frac{5}{6} + i \frac{47}{6}

求解步骤

- 3 x^{2} - 5 x - 6 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 ( - 3 ) ( - 6 )}{2 ( - 3 )}

化简

(- 5)^{2} - 4 (- 3) (- 6) : 47 i

x_{1, 2} = \frac{- ( - 5 ) \pm 47 i}{2 ( - 3 )}

将解分隔开

x_{1} = \frac{- ( - 5 ) + 47 i}{2 ( - 3 )}, x_{2} = \frac{- ( - 5 ) - 47 i}{2 ( - 3 )}

x = \frac{- ( - 5 ) + 47 i}{2 ( - 3 )} : - \frac{5}{6} - i \frac{47}{6}

x = \frac{- ( - 5 ) - 47 i}{2 ( - 3 )} : - \frac{5}{6} + i \frac{47}{6}

二次方程组的解是:

x = - \frac{5}{6} - i \frac{47}{6}, x = - \frac{5}{6} + i \frac{47}{6}

作图

流行的例子

sqrt(3)^2+1^2=c^2

3^{2} + 1^{2} = c^{2}

d^{2} - 3 d = 0

λ^{2} - 2 λ - 1 = 0

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15 x^{2} - 9 x - 6 = 0