What are the solutions to the equation x^3+13x^2+57x+85=0 ?

The solutions to the equation x^3+13x^2+57x+85=0 are x=-5,x=-4+i,x=-4-i

Find the zeros of x^3+13x^2+57x+85=0

The zeros of x^3+13x^2+57x+85=0 are x=-5,x=-4+i,x=-4-i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{3} + 13 x^{2} + 57 x + 85 = 0

x = - 5, x = - 4 + i, x = - 4 - i

Solution steps

x^{3} + 13 x^{2} + 57 x + 85 = 0

Factor

x^{3} + 13 x^{2} + 57 x + 85 : (x + 5) (x^{2} + 8 x + 17)

(x + 5) (x^{2} + 8 x + 17) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 5 = 0 or x^{2} + 8 x + 17 = 0

Solve

x + 5 = 0 : x = - 5

Solve

x^{2} + 8 x + 17 = 0 : x = - 4 + i, x = - 4 - i

The solutions are

x = - 5, x = - 4 + i, x = - 4 - i

w^{6} = - 27

0 = x (x - 4)^{3}

4 x^{3} = 108

- x (x + 9) (x^{2} - 9) = 0

2 x^{4} - 9 x^{3} + 6 x^{2} + 11 x - 6 = 0

What are the solutions to the equation x^3+13x^2+57x+85=0 ?
The solutions to the equation x^3+13x^2+57x+85=0 are x=-5,x=-4+i,x=-4-i
Find the zeros of x^3+13x^2+57x+85=0
The zeros of x^3+13x^2+57x+85=0 are x=-5,x=-4+i,x=-4-i