What are the solutions to the equation factor x^8-17x^4+16=0 ?

The solutions to the equation factor x^8-17x^4+16=0 are x=i,x=-i,x=-1,x=1,x=2i,x=-2i,x=-2,x=2

Find the zeros of factor x^8-17x^4+16=0

The zeros of factor x^8-17x^4+16=0 are x=i,x=-i,x=-1,x=1,x=2i,x=-2i,x=-2,x=2

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factor

x^{8} - 17 x^{4} + 16 = 0

x = i, x = - i, x = - 1, x = 1, x = 2 i, x = - 2 i, x = - 2, x = 2

Solution steps

x^{8} - 17 x^{4} + 16 = 0

Factor

x^{8} - 17 x^{4} + 16 : (x^{2} + 1) (x + 1) (x - 1) (x^{2} + 4) (x + 2) (x - 2)

(x^{2} + 1) (x + 1) (x - 1) (x^{2} + 4) (x + 2) (x - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x^{2} + 1 = 0 or x + 1 = 0 or x - 1 = 0 or x^{2} + 4 = 0 or x + 2 = 0 or x - 2 = 0

Solve

x^{2} + 1 = 0 : x = i, x = - i

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

Solve

x^{2} + 4 = 0 : x = 2 i, x = - 2 i

Solve

x + 2 = 0 : x = - 2

Solve

x - 2 = 0 : x = 2

The solutions are

x = i, x = - i, x = - 1, x = 1, x = 2 i, x = - 2 i, x = - 2, x = 2

x^{4} - 5 x^{3} + 7 x^{2} - 5 x + 6 = 0

72 x^{7} - 504 x^{6} = 0

x + 3 = x^{3} + 10 x^{2} + 28 x + 21

x^{3} - 5 x^{2} + 8 x - 4

2 x^{4} + 9 x^{3} + 15 x^{2} + 11 x + 3 = 0

What are the solutions to the equation factor x^8-17x^4+16=0 ?
The solutions to the equation factor x^8-17x^4+16=0 are x=i,x=-i,x=-1,x=1,x=2i,x=-2i,x=-2,x=2
Find the zeros of factor x^8-17x^4+16=0
The zeros of factor x^8-17x^4+16=0 are x=i,x=-i,x=-1,x=1,x=2i,x=-2i,x=-2,x=2