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受欢迎的代数 >

-10x^2-5x-11=0

解答

- 10 x^{2} - 5 x - 11 = 0

解答

x = - \frac{1}{4} - i \frac{415}{20}, x = - \frac{1}{4} + i \frac{415}{20}

求解步骤

- 10 x^{2} - 5 x - 11 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 ( - 10 ) ( - 11 )}{2 ( - 10 )}

化简

(- 5)^{2} - 4 (- 10) (- 11) : 415 i

x_{1, 2} = \frac{- ( - 5 ) \pm 415 i}{2 ( - 10 )}

将解分隔开

x_{1} = \frac{- ( - 5 ) + 415 i}{2 ( - 10 )}, x_{2} = \frac{- ( - 5 ) - 415 i}{2 ( - 10 )}

x = \frac{- ( - 5 ) + 415 i}{2 ( - 10 )} : - \frac{1}{4} - i \frac{415}{20}

x = \frac{- ( - 5 ) - 415 i}{2 ( - 10 )} : - \frac{1}{4} + i \frac{415}{20}

二次方程组的解是:

x = - \frac{1}{4} - i \frac{415}{20}, x = - \frac{1}{4} + i \frac{415}{20}

作图

流行的例子

p^{2} + 2 p - 13 = - 3 p

y^{2} - 3 y - 2 = 0

solvefor x,p^1y=-x^2+5x-4

so l v e f or x, p^{1} y = - x^{2} + 5 x - 4

\frac{9}{2} b^{2} = 32

solvefor h,rs+h^2=1

so l v e f or h, rs + h^{2} = 1