What are the solutions to the equation m^3= 125/64 ?

The solutions to the equation m^3= 125/64 are m= 5/4 ,m=-5/8+(5sqrt(3))/8 i,m=-5/8-(5sqrt(3))/8 i

Find the zeros of m^3= 125/64

The zeros of m^3= 125/64 are m= 5/4 ,m=-5/8+(5sqrt(3))/8 i,m=-5/8-(5sqrt(3))/8 i

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m^{3} = \frac{125}{64}

m = \frac{5}{4}, m = - \frac{5}{8} + \frac{5 3}{8} i, m = - \frac{5}{8} - \frac{5 3}{8} i

Solution steps

m^{3} = \frac{125}{64}

For

x^{3} = f (a)

the solutions are

x = 3 f (a), 3 f (a) \frac{- 1 - 3 i}{2}, 3 f (a) \frac{- 1 + 3 i}{2}

m = 3 \frac{125}{64}, m = 3 \frac{125}{64} \frac{- 1 + 3 i}{2}, m = 3 \frac{125}{64} \frac{- 1 - 3 i}{2}

3 \frac{125}{64} = \frac{5}{4}

Simplify

3 \frac{125}{64} \frac{- 1 + 3 i}{2} : - \frac{5}{8} + \frac{5 3}{8} i

Simplify

3 \frac{125}{64} \frac{- 1 - 3 i}{2} : - \frac{5}{8} - \frac{5 3}{8} i

m = \frac{5}{4}, m = - \frac{5}{8} + \frac{5 3}{8} i, m = - \frac{5}{8} - \frac{5 3}{8} i

2 x^{4} + 3 x^{3} + 16 x + 24 = 0

x^{4} - (x - 0.005)^{4} - 0. 1^{4} = 0

x^{3} + 3 x^{2} + 9 x + 27

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

2 m x^{4} + 3 n x^{4} + 10 m + 15 n

What are the solutions to the equation m^3= 125/64 ?
The solutions to the equation m^3= 125/64 are m= 5/4 ,m=-5/8+(5sqrt(3))/8 i,m=-5/8-(5sqrt(3))/8 i
Find the zeros of m^3= 125/64
The zeros of m^3= 125/64 are m= 5/4 ,m=-5/8+(5sqrt(3))/8 i,m=-5/8-(5sqrt(3))/8 i