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受欢迎的代数 >

2x^3-20x=0

解答

2 x^{3} - 20 x = 0

解答

x = 0, x = - 10, x = 10

+1

十进制

x = 0, x = - 3.16227 \dots, x = 3.16227 \dots

求解步骤

2 x^{3} - 20 x = 0

因式分解

2 x^{3} - 20 x : 2 x (x + 10) (x - 10)

2 x (x + 10) (x - 10) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or x + 10 = 0 or x - 10 = 0

解

x + 10 = 0 : x = - 10

解

x - 10 = 0 : x = 10

解为

x = 0, x = - 10, x = 10

作图

流行的例子

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