What are the solutions to the equation x^4=256 ?

The solutions to the equation x^4=256 are x=4,x=-4,x=4i,x=-4i

Find the zeros of x^4=256

The zeros of x^4=256 are x=4,x=-4,x=4i,x=-4i

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x^{4} = 256

x = 4, x = - 4, x = 4 i, x = - 4 i

Solution steps

x^{4} = 256

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} = 256

Solve

u^{2} = 256 : u = 256, u = - 256

u = 256, u = - 256

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 256 : x = 4, x = - 4

Solve

x^{2} = - 256 : x = 4 i, x = - 4 i

The solutions are

x = 4, x = - 4, x = 4 i, x = - 4 i

x^{4} - 6 x^{2} + 2 = 0

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

15 x^{4} - 60 x^{2} = 0

x^{4} - 10 x^{2} + 24 = 0

- x^{3} + 8 x^{2} - 20 x + 16 = 0

What are the solutions to the equation x^4=256 ?
The solutions to the equation x^4=256 are x=4,x=-4,x=4i,x=-4i
Find the zeros of x^4=256
The zeros of x^4=256 are x=4,x=-4,x=4i,x=-4i