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受欢迎的代数 >

a^3+(6-a)^2-36=0

解答

a^{3} + (6 - a)^{2} - 36 = 0

解答

a = 0, a = 3, a = - 4

求解步骤

a^{3} + (6 - a)^{2} - 36 = 0

展开

a^{3} + (6 - a)^{2} - 36 : a^{3} + a^{2} - 12 a

a^{3} + a^{2} - 12 a = 0

因式分解

a^{3} + a^{2} - 12 a : a (a - 3) (a + 4)

a (a - 3) (a + 4) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

a = 0 or a - 3 = 0 or a + 4 = 0

解

a - 3 = 0 : a = 3

解

a + 4 = 0 : a = - 4

解为

a = 0, a = 3, a = - 4

作图

流行的例子

- x^{3} + 6 x = 0

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

x^{2} + 3 = x^{3}

36 x^{3} - x = 0

12 z^{5} - 18 z^{2} = 0