What are the solutions to the equation 81=x^4 ?

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

Find the zeros of 81=x^4

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

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81 = x^{4}

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

Solution steps

81 = x^{4}

Switch sides

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

x^{3} - x^{2} - x + 1 = 0

2 x^{4} = 48 x^{2}

2 x^{4} + 16 x^{3} + 32 x^{2} = 0

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

3 q (q + 6) 2 (q + 6) = 0

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