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

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

Find the zeros of roots x^4-16

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

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roots

x^{4} - 16

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

Solution steps

x^{4} - 16

The roots are the intercepts with the x-axis

(y = 0)

x^{4} - 16 = 0

Move

16

to the right side

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} - 16 x^{2} + 75 = 2 x^{2} - 6

9 x^{5} = 27 x^{3}

4 x^{3} - 9 x^{2} - 1 = 0

- 360 x^{3} + 25 x = 0

x^{3} - 9 x^{2} + 20 x = 0

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