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受欢迎的代数 >

0=36x-x^3

解答

0 = 36 x - x^{3}

解答

x = 0, x = - 6, x = 6

求解步骤

0 = 36 x - x^{3}

交换两边

36 x - x^{3} = 0

因式分解

36 x - x^{3} : - x (x + 6) (x - 6)

- x (x + 6) (x - 6) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or x + 6 = 0 or x - 6 = 0

解

x + 6 = 0 : x = - 6

解

x - 6 = 0 : x = 6

解为

x = 0, x = - 6, x = 6

作图

流行的例子

z (z^{2} + 1) = 0

6 c^{5} + 4 c^{3} = 2

x^5-14x^4+49x^3=0

x^{5} - 14 x^{4} + 49 x^{3} = 0

12 x^{3} - 54 x = 0

n^{10}=4sqrt(2)

n^{10} = 42