What are the solutions to the equation solvefor x,x^4-81=0 ?

The solutions to the equation solvefor x,x^4-81=0 are x=3,x=-3,x=3i,x=-3i

Find the zeros of solvefor x,x^4-81=0

The zeros of solvefor x,x^4-81=0 are x=3,x=-3,x=3i,x=-3i

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solve for

x, x^{4} - 81 = 0

x = 3, x = - 3, x = 3 i, x = - 3 i

Solution steps

x^{4} - 81 = 0

Move

81

to the right side

x^{4} = 81

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} = 81

Solve

u^{2} = 81 : u = 81, u = - 81

u = 81, u = - 81

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 81 : x = 3, x = - 3

Solve

x^{2} = - 81 : x = 3 i, x = - 3 i

The solutions are

x = 3, x = - 3, x = 3 i, x = - 3 i

v^{10} - 6 v = - 104

6 x^{5} + 20 x^{3} = 23 x^{4}

x^{7} + 1 = 0

x^{6} + 9 x^{3} - 5 = 0

2 x^{3} - x + 12 = x^{4}

What are the solutions to the equation solvefor x,x^4-81=0 ?
The solutions to the equation solvefor x,x^4-81=0 are x=3,x=-3,x=3i,x=-3i
Find the zeros of solvefor x,x^4-81=0
The zeros of solvefor x,x^4-81=0 are x=3,x=-3,x=3i,x=-3i