What are the solutions to the equation m^4=625 ?

The solutions to the equation m^4=625 are m=5,m=-5,m=5i,m=-5i

Find the zeros of m^4=625

The zeros of m^4=625 are m=5,m=-5,m=5i,m=-5i

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m^{4} = 625

m = 5, m = - 5, m = 5 i, m = - 5 i

Solution steps

m^{4} = 625

Rewrite the equation with

u = m^{2}

and

u^{2} = m^{4}

u^{2} = 625

Solve

u^{2} = 625 : u = 625, u = - 625

u = 625, u = - 625

Substitute back

u = m^{2},

solve for

m

Solve

m^{2} = 625 : m = 5, m = - 5

Solve

m^{2} = - 625 : m = 5 i, m = - 5 i

The solutions are

m = 5, m = - 5, m = 5 i, m = - 5 i

5 x^{3} + 4 x^{2} - 12 x = 0

x^{5} - 16 x = 0

x^{3} = - 27

x^{3} + x = 16

\frac{35 x ^{15}}{2} = \frac{( x + 70 )}{14 - 40}

What are the solutions to the equation m^4=625 ?
The solutions to the equation m^4=625 are m=5,m=-5,m=5i,m=-5i
Find the zeros of m^4=625
The zeros of m^4=625 are m=5,m=-5,m=5i,m=-5i