What are the solutions to the equation m^4-625=0 ?

The solutions to the equation m^4-625=0 are m=5,m=-5,m=5i,m=-5i

Find the zeros of m^4-625=0

The zeros of m^4-625=0 are m=5,m=-5,m=5i,m=-5i

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m^{4} - 625 = 0

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

Solution steps

m^{4} - 625 = 0

Move

625

to the right side

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

8 x^{5} + 5 x^{2} = 4 x^{2}

x^{3} - 3 x^{2} - 9 x - 5 = 0

- 0.000003 x^{3} + 0.02 x^{2} + 100 x - 70000 = 0

x^{4} + 4 x^{3} + 56 x^{2} + 64 x + 640 = 0

x^{5} + x^{3} - 6 x

What are the solutions to the equation m^4-625=0 ?
The solutions to the equation m^4-625=0 are m=5,m=-5,m=5i,m=-5i
Find the zeros of m^4-625=0
The zeros of m^4-625=0 are m=5,m=-5,m=5i,m=-5i