What are the solutions to the equation x^9+x^6=36 ?

The solutions to the equation x^9+x^6=36 are

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x^9+x^6=36

x^{9} + x^{6} = 36

Solution steps

x^{9} + x^{6} = 36

Move

36

to the left side

x^{9} + x^{6} - 36 = 0

Rewrite the equation with

u = x^{3}, u^{2} = x^{6}

and

u^{3} = x^{9}

u^{3} + u^{2} - 36 = 0

Solve

u^{3} + u^{2} - 36 = 0 : u = 3, u = - 2 + 22 i, u = - 2 - 22 i

u = 3, u = - 2 + 22 i, u = - 2 - 22 i

Substitute back

u = x^{3},

solve for

x

Solve

The solutions are

y, x^{4} + y^{4} = 16

a x^{4} + b x^{2} + c = 0

y, 2 (x^{2} + y^{2})^{2} = 25 (x^{2} - y^{2})

y, y^{3} = x

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

What are the solutions to the equation x^9+x^6=36 ?
The solutions to the equation x^9+x^6=36 are
Find the zeros of x^9+x^6=36
The zeros of x^9+x^6=36 are