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 >

x^3+4x^2-10x-40=0

解答

x^{3} + 4 x^{2} - 10 x - 40 = 0

解答

x = - 4, x = - 10, x = 10

+1

十进制

x = - 4, x = - 3.16227 \dots, x = 3.16227 \dots

求解步骤

x^{3} + 4 x^{2} - 10 x - 40 = 0

因式分解

x^{3} + 4 x^{2} - 10 x - 40 : (x + 4) (x + 10) (x - 10)

(x + 4) (x + 10) (x - 10) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x + 4 = 0 or x + 10 = 0 or x - 10 = 0

解

x + 4 = 0 : x = - 4

解

x + 10 = 0 : x = - 10

解

x - 10 = 0 : x = 10

解为

x = - 4, x = - 10, x = 10

作图

流行的例子

2x^3+10x^2+4x=-8x

2 x^{3} + 10 x^{2} + 4 x = - 8 x

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

so l v e f or x, x^{3} - 3 x^{2} + x = 0

2.5x^3+6.7x^2+4.9x-0.5=0

2.5 x^{3} + 6.7 x^{2} + 4.9 x - 0.5 = 0

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

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

y^5-16y^4+14y^3=0

y^{5} - 16 y^{4} + 14 y^{3} = 0