What are the solutions to the equation x^3+x-130=0 ?

The solutions to the equation x^3+x-130=0 are x=5,x=-5/2+i(sqrt(79))/2 ,x=-5/2-i(sqrt(79))/2

Find the zeros of x^3+x-130=0

The zeros of x^3+x-130=0 are x=5,x=-5/2+i(sqrt(79))/2 ,x=-5/2-i(sqrt(79))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{3} + x - 130 = 0

x = 5, x = - \frac{5}{2} + i \frac{79}{2}, x = - \frac{5}{2} - i \frac{79}{2}

Solution steps

x^{3} + x - 130 = 0

Factor

x^{3} + x - 130 : (x - 5) (x^{2} + 5 x + 26)

(x - 5) (x^{2} + 5 x + 26) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 5 = 0 or x^{2} + 5 x + 26 = 0

Solve

x - 5 = 0 : x = 5

Solve

x^{2} + 5 x + 26 = 0 : x = - \frac{5}{2} + i \frac{79}{2}, x = - \frac{5}{2} - i \frac{79}{2}

The solutions are

x = 5, x = - \frac{5}{2} + i \frac{79}{2}, x = - \frac{5}{2} - i \frac{79}{2}

x^{3} - 125

8 x^{4} + 10 x^{3} + 9 x^{2} + x - 1 = 0

x^{4} + 3 x^{2} + 2 x + 14 = 0

4 x^{4} - 22 x^{3} + 38 x^{2} - 44 x + 60 = 0

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

What are the solutions to the equation x^3+x-130=0 ?
The solutions to the equation x^3+x-130=0 are x=5,x=-5/2+i(sqrt(79))/2 ,x=-5/2-i(sqrt(79))/2
Find the zeros of x^3+x-130=0
The zeros of x^3+x-130=0 are x=5,x=-5/2+i(sqrt(79))/2 ,x=-5/2-i(sqrt(79))/2