What are the solutions to the equation x^4=4096 ?

The solutions to the equation x^4=4096 are x=8,x=-8,x=8i,x=-8i

Find the zeros of x^4=4096

The zeros of x^4=4096 are x=8,x=-8,x=8i,x=-8i

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x^{4} = 4096

x = 8, x = - 8, x = 8 i, x = - 8 i

Solution steps

x^{4} = 4096

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} = 4096

Solve

u^{2} = 4096 : u = 4096, u = - 4096

u = 4096, u = - 4096

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 4096 : x = 8, x = - 8

Solve

x^{2} = - 4096 : x = 8 i, x = - 8 i

The solutions are

x = 8, x = - 8, x = 8 i, x = - 8 i

a = 5 m a^{20}, B = 6 m a^{160}

2 x^{4} - 11 x^{2} + 9 = 0

x^{3} - 12 x + 10 = 0

x^{9} + 3 x^{6} + 3 x^{3} - 16 x + 9 = 0

x^{3} - 5 x^{2} + 4 x - 1 = 0

What are the solutions to the equation x^4=4096 ?
The solutions to the equation x^4=4096 are x=8,x=-8,x=8i,x=-8i
Find the zeros of x^4=4096
The zeros of x^4=4096 are x=8,x=-8,x=8i,x=-8i