What are the solutions to the equation x^8=729 ?

The solutions to the equation x^8=729 are

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x^8=729

x^{8} = 729

Solution steps

x^{8} = 729

Rewrite the equation with

u = x^{2}

and

u^{4} = x^{8}

u^{4} = 729

Solve

u^{4} = 729 : u = 33, u = - 33, u = 33 i, u = - 33 i

u = 33, u = - 33, u = 33 i, u = - 33 i

Substitute back

u = x^{2},

solve for

x

Solve

The solutions are

4 x + 2 x^{2} + 8 x^{3} = 10

4 x^{4} - 9 x^{2} + 3 = 0

y^{4} - 10 y^{3} + 5 y^{2} + 100 y + 100 = 0

x^{4} = 45 x + 76

x + x^{2} + x^{4} = 2000

What are the solutions to the equation x^8=729 ?
The solutions to the equation x^8=729 are
Find the zeros of x^8=729
The zeros of x^8=729 are