What are the solutions to the equation m^3=343 ?

The solutions to the equation m^3=343 are m=7,m=-7/2+(7sqrt(3))/2 i,m=-7/2-(7sqrt(3))/2 i

Find the zeros of m^3=343

The zeros of m^3=343 are m=7,m=-7/2+(7sqrt(3))/2 i,m=-7/2-(7sqrt(3))/2 i

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m^{3} = 343

m = 7, m = - \frac{7}{2} + \frac{7 3}{2} i, m = - \frac{7}{2} - \frac{7 3}{2} i

Solution steps

m^{3} = 343

For

x^{3} = f (a)

the solutions are

Simplify

m = 7, m = - \frac{7}{2} + \frac{7 3}{2} i, m = - \frac{7}{2} - \frac{7 3}{2} i

x^{3} - x^{2} + x - 1 = x^{2} + 1

0 = 2 x^{7} + 3 x^{5} - 9 x^{2} + 6

3 x^{3} + 15 x^{2} - 2 x - 10 = 0

x^{3} - 10 x^{2} + 21 x = 0

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

What are the solutions to the equation m^3=343 ?
The solutions to the equation m^3=343 are m=7,m=-7/2+(7sqrt(3))/2 i,m=-7/2-(7sqrt(3))/2 i
Find the zeros of m^3=343
The zeros of m^3=343 are m=7,m=-7/2+(7sqrt(3))/2 i,m=-7/2-(7sqrt(3))/2 i