What are the solutions to the equation roots x^3-125 ?

The solutions to the equation roots x^3-125 are x=5,x=-5/2+(5sqrt(3))/2 i,x=-5/2-(5sqrt(3))/2 i

Find the zeros of roots x^3-125

The zeros of roots x^3-125 are x=5,x=-5/2+(5sqrt(3))/2 i,x=-5/2-(5sqrt(3))/2 i

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roots

x^{3} - 125

x = 5, x = - \frac{5}{2} + \frac{5 3}{2} i, x = - \frac{5}{2} - \frac{5 3}{2} i

Solution steps

x^{3} - 125

The roots are the intercepts with the x-axis

(y = 0)

x^{3} - 125 = 0

Move

125

to the right side

x^{3} = 125

For

x^{3} = f (a)

the solutions are

Simplify

x = 5, x = - \frac{5}{2} + \frac{5 3}{2} i, x = - \frac{5}{2} - \frac{5 3}{2} i

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

p^{4} - 4 p + 3 = 0

What are the solutions to the equation roots x^3-125 ?
The solutions to the equation roots x^3-125 are x=5,x=-5/2+(5sqrt(3))/2 i,x=-5/2-(5sqrt(3))/2 i
Find the zeros of roots x^3-125
The zeros of roots x^3-125 are x=5,x=-5/2+(5sqrt(3))/2 i,x=-5/2-(5sqrt(3))/2 i