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受欢迎的代数 >

2+4/(x^3)=0

解答

2 + \frac{4}{x ^{3}} = 0

解答

x = - 32, x = \frac{3 2}{2} - i \frac{3 2 3}{2}, x = \frac{3 2}{2} + i \frac{3 2 3}{2}

求解步骤

2 + \frac{4}{x ^{3}} = 0

在两边乘以

x^{3}

2 x^{3} + 4 = 0

解

2 x^{3} + 4 = 0 : x = - 32, x = \frac{3 2}{2} - i \frac{3 2 3}{2}, x = \frac{3 2}{2} + i \frac{3 2 3}{2}

x = - 32, x = \frac{3 2}{2} - i \frac{3 2 3}{2}, x = \frac{3 2}{2} + i \frac{3 2 3}{2}

验证解

找到无定义的点（奇点）:

x = 0

将不在定义域的点与解相综合:

x = - 32, x = \frac{3 2}{2} - i \frac{3 2 3}{2}, x = \frac{3 2}{2} + i \frac{3 2 3}{2}

作图

流行的例子

solvefor x/(100-x)=0.19526,x

so l v e f or \frac{x}{100 - x} = 0.19526, x

x + 4 = \frac{5}{∣ x - 2 ∣}

solvefor x,7-t= c/x

so l v e f or x, 7 - t = \frac{c}{x}

(3x-9)/(x-1)+(x+6)/(x+1)=3

\frac{3 x - 9}{x - 1} + \frac{x + 6}{x + 1} = 3

solvefor x,y= 1/(x^2+3x+2)

so l v e f or x, y = \frac{1}{x ^{2} + 3 x + 2}