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受欢迎的代数 >

2x=x(x-3)^2

解答

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

解答

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

+1

十进制

x = 0, x = 1.58578 \dots, x = 4.41421 \dots

求解步骤

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

将

x (x - 3)^{2}

para o lado esquerdo

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

因式分解

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

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

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

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

解

x - 3 + 2 = 0 : x = 3 - 2

解

x - 3 - 2 = 0 : x = 3 + 2

解为

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

作图

流行的例子

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