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

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

Find the zeros of a^4=625

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

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a^{4} = 625

a = 5, a = - 5, a = 5 i, a = - 5 i

Solution steps

a^{4} = 625

Rewrite the equation with

u = a^{2}

and

u^{2} = a^{4}

u^{2} = 625

Solve

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

u = 625, u = - 625

Substitute back

u = a^{2},

solve for

a

Solve

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

Solve

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

The solutions are

a = 5, a = - 5, a = 5 i, a = - 5 i

3 x^{4} = 3000 x

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

3 x^{4} - 3 = 0

- 9 = - 1 + 8 x^{3}

r^{4} + 4 r^{3} + 6 r^{2} + 4 r + 1 = 0

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