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 >

2x^4-3x^3-15x^2+32x-12=0

解答

2 x^{4} - 3 x^{3} - 15 x^{2} + 32 x - 12 = 0

解答

x = 2, x = \frac{1}{2}, x = - 3

+1

十进制

x = 2, x = 0.5, x = - 3

求解步骤

2 x^{4} - 3 x^{3} - 15 x^{2} + 32 x - 12 = 0

因式分解

2 x^{4} - 3 x^{3} - 15 x^{2} + 32 x - 12 : (x - 2)^{2} (2 x - 1) (x + 3)

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

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x - 2 = 0 or 2 x - 1 = 0 or x + 3 = 0

解

x - 2 = 0 : x = 2

解

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

解

x + 3 = 0 : x = - 3

解为

x = 2, x = \frac{1}{2}, x = - 3

作图

流行的例子

x^{2} 6 x - 1 = 0

-5x^2+6x=8x^8-5x^4+1

- 5 x^{2} + 6 x = 8 x^{8} - 5 x^{4} + 1

2x^5-8x^4-10x^3=0

2 x^{5} - 8 x^{4} - 10 x^{3} = 0

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

5 x \cdot x \cdot 3 x = 1875