What are the solutions to the equation x^3+3x^2+3x-7=0 ?

The solutions to the equation x^3+3x^2+3x-7=0 are x=1,x=-2+sqrt(3)i,x=-2-sqrt(3)i

Find the zeros of x^3+3x^2+3x-7=0

The zeros of x^3+3x^2+3x-7=0 are x=1,x=-2+sqrt(3)i,x=-2-sqrt(3)i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{3} + 3 x^{2} + 3 x - 7 = 0

x = 1, x = - 2 + 3 i, x = - 2 - 3 i

Solution steps

x^{3} + 3 x^{2} + 3 x - 7 = 0

Factor

x^{3} + 3 x^{2} + 3 x - 7 : (x - 1) (x^{2} + 4 x + 7)

(x - 1) (x^{2} + 4 x + 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x^{2} + 4 x + 7 = 0

Solve

x - 1 = 0 : x = 1

Solve

x^{2} + 4 x + 7 = 0 : x = - 2 + 3 i, x = - 2 - 3 i

The solutions are

x = 1, x = - 2 + 3 i, x = - 2 - 3 i

8 x^{1} + x^{2} + 2 x^{3} + x^{4} = 8

x, y^{2} + 1 = x^{3}

x^{4} - 4 x^{3} + 8 x^{2} - 8 x + 4 = 0

x^{4} - x^{2} - 1 = 0

33 x^{4} - 8 x^{2} + 4 = 0

What are the solutions to the equation x^3+3x^2+3x-7=0 ?
The solutions to the equation x^3+3x^2+3x-7=0 are x=1,x=-2+sqrt(3)i,x=-2-sqrt(3)i
Find the zeros of x^3+3x^2+3x-7=0
The zeros of x^3+3x^2+3x-7=0 are x=1,x=-2+sqrt(3)i,x=-2-sqrt(3)i