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受欢迎的代数 >

x(x-3)^2=2x

解答

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

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

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

将

2 x

para o lado esquerdo

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

因式分解

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

(x-3)^7=64(x-3)^4

(x - 3)^{7} = 64 (x - 3)^{4}

- 16 y - y^{3} + 32 = 0

x^{3} - 3 = - 30

(x-1)(x-2)(x+1)=0

(x - 1) (x - 2) (x + 1) = 0

8 t^{3} + 2 = 66