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受欢迎的代数 >

-x^2-5x-10=0

解答

- x^{2} - 5 x - 10 = 0

解答

x = - \frac{5}{2} - i \frac{15}{2}, x = - \frac{5}{2} + i \frac{15}{2}

求解步骤

- x^{2} - 5 x - 10 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 ( - 1 ) ( - 10 )}{2 ( - 1 )}

化简

(- 5)^{2} - 4 (- 1) (- 10) : 15 i

x_{1, 2} = \frac{- ( - 5 ) \pm 15 i}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- ( - 5 ) + 15 i}{2 ( - 1 )}, x_{2} = \frac{- ( - 5 ) - 15 i}{2 ( - 1 )}

x = \frac{- ( - 5 ) + 15 i}{2 ( - 1 )} : - \frac{5}{2} - i \frac{15}{2}

x = \frac{- ( - 5 ) - 15 i}{2 ( - 1 )} : - \frac{5}{2} + i \frac{15}{2}

二次方程组的解是:

x = - \frac{5}{2} - i \frac{15}{2}, x = - \frac{5}{2} + i \frac{15}{2}

作图

流行的例子

x^{2} + \frac{7}{2} x - 2 = 0

(2x+3)*(2x-3)=135

(2 x + 3) \cdot (2 x - 3) = 135

0 = 1 - 3 x^{2}

x^{2} - 37 = 188

completesquare 2k^2+5k+3=0

co m pl e t es q u a re 2 k^{2} + 5 k + 3 = 0