What are the solutions to the equation 16-x^4=0 ?

The solutions to the equation 16-x^4=0 are x=2,x=-2,x=2i,x=-2i

Find the zeros of 16-x^4=0

The zeros of 16-x^4=0 are x=2,x=-2,x=2i,x=-2i

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16 - x^{4} = 0

x = 2, x = - 2, x = 2 i, x = - 2 i

Solution steps

16 - x^{4} = 0

Move

16

to the right side

- x^{4} = - 16

Divide both sides by

- 1

x^{4} = 16

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} = 16

Solve

u^{2} = 16 : u = 16, u = - 16

u = 16, u = - 16

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 16 : x = 2, x = - 2

Solve

x^{2} = - 16 : x = 2 i, x = - 2 i

The solutions are

x = 2, x = - 2, x = 2 i, x = - 2 i

x^{4} - 14 x^{2} - 72 x + 85 = 0

x^{4} - x^{3} - 5 x^{2} - x - 6 = 0

3 m^{6} + 4 m^{4} + 4 m^{2} + 1 = 0

x^{2} (4 x - 2) = 324

4 x^{3} - 72 x^{2} + 288 x = 0

What are the solutions to the equation 16-x^4=0 ?
The solutions to the equation 16-x^4=0 are x=2,x=-2,x=2i,x=-2i
Find the zeros of 16-x^4=0
The zeros of 16-x^4=0 are x=2,x=-2,x=2i,x=-2i