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受欢迎的代数 >

x^3-x^2-4x=0

解答

x^{3} - x^{2} - 4 x = 0

解答

x = 0, x = \frac{1 + 17}{2}, x = \frac{1 - 17}{2}

+1

十进制

x = 0, x = 2.56155 \dots, x = - 1.56155 \dots

求解步骤

x^{3} - x^{2} - 4 x = 0

因式分解

x^{3} - x^{2} - 4 x : x (x^{2} - x - 4)

x (x^{2} - x - 4) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

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

解

x^{2} - x - 4 = 0 : x = \frac{1 + 17}{2}, x = \frac{1 - 17}{2}

解为

x = 0, x = \frac{1 + 17}{2}, x = \frac{1 - 17}{2}

作图

流行的例子

q^3-52.5q^2+750q=0

q^{3} - 52.5 q^{2} + 750 q = 0

144x^4-24x^2+1=0

144 x^{4} - 24 x^{2} + 1 = 0

solvefor x,4y-4x^3=0

so l v e f or x, 4 y - 4 x^{3} = 0

z^{6} = - i

2 y^{4} + y^{2} = 36