What are the solutions to the equation x^4+14x^3+77x^2+200x+208=0 ?

The solutions to the equation x^4+14x^3+77x^2+200x+208=0 are x=-4,x=-3+2i,x=-3-2i

Find the zeros of x^4+14x^3+77x^2+200x+208=0

The zeros of x^4+14x^3+77x^2+200x+208=0 are x=-4,x=-3+2i,x=-3-2i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{4} + 14 x^{3} + 77 x^{2} + 200 x + 208 = 0

x = - 4, x = - 3 + 2 i, x = - 3 - 2 i

Solution steps

x^{4} + 14 x^{3} + 77 x^{2} + 200 x + 208 = 0

Factor

x^{4} + 14 x^{3} + 77 x^{2} + 200 x + 208 : (x + 4)^{2} (x^{2} + 6 x + 13)

(x + 4)^{2} (x^{2} + 6 x + 13) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 4 = 0 or x^{2} + 6 x + 13 = 0

Solve

x + 4 = 0 : x = - 4

Solve

x^{2} + 6 x + 13 = 0 : x = - 3 + 2 i, x = - 3 - 2 i

The solutions are

x = - 4, x = - 3 + 2 i, x = - 3 - 2 i

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

2.5 x^{4} + 3 x^{3} - 2.6 x^{2} - 5.1 x - 5.6

x^{5} = 310

3 (4 x^{12}) = 10

x^{3} + 3 x^{2} - 14 x - 20 = 0

What are the solutions to the equation x^4+14x^3+77x^2+200x+208=0 ?
The solutions to the equation x^4+14x^3+77x^2+200x+208=0 are x=-4,x=-3+2i,x=-3-2i
Find the zeros of x^4+14x^3+77x^2+200x+208=0
The zeros of x^4+14x^3+77x^2+200x+208=0 are x=-4,x=-3+2i,x=-3-2i