What are the solutions to the equation x^4=20736 ?

The solutions to the equation x^4=20736 are x=12,x=-12,x=12i,x=-12i

Find the zeros of x^4=20736

The zeros of x^4=20736 are x=12,x=-12,x=12i,x=-12i

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x^{4} = 20736

x = 12, x = - 12, x = 12 i, x = - 12 i

Solution steps

x^{4} = 20736

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} = 20736

Solve

u^{2} = 20736 : u = 20736, u = - 20736

u = 20736, u = - 20736

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 20736 : x = 12, x = - 12

Solve

x^{2} = - 20736 : x = 12 i, x = - 12 i

The solutions are

x = 12, x = - 12, x = 12 i, x = - 12 i

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

x^{3} - 11 x^{2} + 38 x - 44 = 0

x, y^{2} = 2 x^{4} + 6

x^{5} = 64

3 x^{2} = 9 x^{3}

What are the solutions to the equation x^4=20736 ?
The solutions to the equation x^4=20736 are x=12,x=-12,x=12i,x=-12i
Find the zeros of x^4=20736
The zeros of x^4=20736 are x=12,x=-12,x=12i,x=-12i