What are the solutions to the equation g^3=125 ?

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

Find the zeros of g^3=125

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

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g^{3} = 125

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

Solution steps

g^{3} = 125

For

x^{3} = f (a)

the solutions are

Simplify

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

9 x^{4} + 16 = 40 x^{2}

x^{4} - x^{2} = 20

(x + 1)^{4} = \frac{900}{25}

x^{3} - 4 x^{2} + 4 x - 16 = 0

- 4 x = 10 x^{2} - 24 x^{3}

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