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

The solutions to the equation x^3+x=130 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

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

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x^{3} + x = 130

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

Solution steps

x^{3} + x = 130

Move

130

to the left side

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^{4} - 5 x^{2} + 1

z^{4} + z = 0

(1 + x)^{12} = 2.12

x^{3} = 10 - x

x, x^{4} + x^{2} y^{2} + y^{3} = 5

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