What are the solutions to the equation x^3+4x^2-10x-40=0 ?

The solutions to the equation x^3+4x^2-10x-40=0 are x=-4,x=-sqrt(10),x=sqrt(10)

Find the zeros of x^3+4x^2-10x-40=0

The zeros of x^3+4x^2-10x-40=0 are x=-4,x=-sqrt(10),x=sqrt(10)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

Decimal Notation

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

Solution steps

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x + 4 = 0 : x = - 4

Solve

x + 10 = 0 : x = - 10

Solve

x - 10 = 0 : x = 10

The solutions are

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

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

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

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

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

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

What are the solutions to the equation x^3+4x^2-10x-40=0 ?
The solutions to the equation x^3+4x^2-10x-40=0 are x=-4,x=-sqrt(10),x=sqrt(10)
Find the zeros of x^3+4x^2-10x-40=0
The zeros of x^3+4x^2-10x-40=0 are x=-4,x=-sqrt(10),x=sqrt(10)