ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある代数 >

4x^4-4x^3-7x^2-4x+4=0

解

4 x^{4} - 4 x^{3} - 7 x^{2} - 4 x + 4 = 0

解

x = 2, x = \frac{1}{2}, x = - \frac{3}{4} + i \frac{7}{4}, x = - \frac{3}{4} - i \frac{7}{4}

解答ステップ

4 x^{4} - 4 x^{3} - 7 x^{2} - 4 x + 4 = 0

因数

4 x^{4} - 4 x^{3} - 7 x^{2} - 4 x + 4 : (x - 2) (2 x - 1) (2 x^{2} + 3 x + 2)

(x - 2) (2 x - 1) (2 x^{2} + 3 x + 2) = 0

零因子の原則を使用:

ab = 0

ならば

a = 0

または

b = 0

x - 2 = 0 or 2 x - 1 = 0 or 2 x^{2} + 3 x + 2 = 0

解く

x - 2 = 0 : x = 2

解く

2 x - 1 = 0 : x = \frac{1}{2}

解く

2 x^{2} + 3 x + 2 = 0 : x = - \frac{3}{4} + i \frac{7}{4}, x = - \frac{3}{4} - i \frac{7}{4}

解答は

x = 2, x = \frac{1}{2}, x = - \frac{3}{4} + i \frac{7}{4}, x = - \frac{3}{4} - i \frac{7}{4}

グラフ

人気の例

x^{3} + 6 x^{2} + 8 x = 0

solvefor x,2(x^4-y^4)=350

so l v e f or x, 2 (x^{4} - y^{4}) = 350

(x-1)(x+2)-x^2(x+2)=21

(x - 1) (x + 2) - x^{2} (x + 2) = 21

e(x)=(-x+x^2)^2+4x^3

e (x) = (- x + x^{2})^{2} + 4 x^{3}

3x^4-24x^3+48x^2+x-4=0

3 x^{4} - 24 x^{3} + 48 x^{2} + x - 4 = 0