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受欢迎的代数 >

x(x^2-3)=x(x+3)

解答

x (x^{2} - 3) = x (x + 3)

解答

x = 0, x = - 2, x = 3

求解步骤

x (x^{2} - 3) = x (x + 3)

将

x (x + 3)

para o lado esquerdo

x (x^{2} - 3) - x (x + 3) = 0

因式分解

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

x (x + 2) (x - 3) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or x + 2 = 0 or x - 3 = 0

解

x + 2 = 0 : x = - 2

解

x - 3 = 0 : x = 3

解为

x = 0, x = - 2, x = 3

作图

流行的例子

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

x^{4} + 10 x^{2} + 9 = 0

(15x-7)^3-(15x-7)=0

(15 x - 7)^{3} - (15 x - 7) = 0

15 x^{4} - 15 x^{2} = 0

x^{3} + 2 x + 3 = 0