What are the solutions to the equation x^4=10000 ?

The solutions to the equation x^4=10000 are x=10,x=-10,x=10i,x=-10i

Find the zeros of x^4=10000

The zeros of x^4=10000 are x=10,x=-10,x=10i,x=-10i

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x^{4} = 10000

x = 10, x = - 10, x = 10 i, x = - 10 i

Solution steps

x^{4} = 10000

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} = 10000

Solve

u^{2} = 10000 : u = 10000, u = - 10000

u = 10000, u = - 10000

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 10000 : x = 10, x = - 10

Solve

x^{2} = - 10000 : x = 10 i, x = - 10 i

The solutions are

x = 10, x = - 10, x = 10 i, x = - 10 i

x^{3} + 300 x = 3000

x^{4} = 1000 x

x^{3} - 4 x = 2 x

- 32 x^{2} + 4 x^{3} - x + 8 = 0

z, z^{4} - 9 = 0

What are the solutions to the equation x^4=10000 ?
The solutions to the equation x^4=10000 are x=10,x=-10,x=10i,x=-10i
Find the zeros of x^4=10000
The zeros of x^4=10000 are x=10,x=-10,x=10i,x=-10i