zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的代数 >

w^3-2w^2+w=2

解答

w^{3} - 2 w^{2} + w = 2

解答

w = 2, w = i, w = - i

求解步骤

w^{3} - 2 w^{2} + w = 2

将

2

para o lado esquerdo

w^{3} - 2 w^{2} + w - 2 = 0

因式分解

w^{3} - 2 w^{2} + w - 2 : (w - 2) (w^{2} + 1)

(w - 2) (w^{2} + 1) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

w - 2 = 0 or w^{2} + 1 = 0

解

w - 2 = 0 : w = 2

解

w^{2} + 1 = 0 : w = i, w = - i

解为

w = 2, w = i, w = - i

作图

流行的例子

x^{6} + 7 2^{3} + 512 = 0

k^{3} = 8

x^4+x^3+x^2+x^1=1

x^{4} + x^{3} + x^{2} + x^{1} = 1

(17x-11)^3-(17x-11)=0

(17 x - 11)^{3} - (17 x - 11) = 0

m^{3} = 1000