What are the solutions to the equation 32x^3-8x^7=0 ?

The solutions to the equation 32x^3-8x^7=0 are x=0,x=sqrt(2)i,x=-sqrt(2)i,x=-sqrt(2),x=sqrt(2)

Find the zeros of 32x^3-8x^7=0

The zeros of 32x^3-8x^7=0 are x=0,x=sqrt(2)i,x=-sqrt(2)i,x=-sqrt(2),x=sqrt(2)

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32 x^{3} - 8 x^{7} = 0

x = 0, x = 2 i, x = - 2 i, x = - 2, x = 2

Solution steps

32 x^{3} - 8 x^{7} = 0

Factor

32 x^{3} - 8 x^{7} : - 8 x^{3} (x^{2} + 2) (x + 2) (x - 2)

- 8 x^{3} (x^{2} + 2) (x + 2) (x - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

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

Solve

x + 2 = 0 : x = - 2

Solve

x - 2 = 0 : x = 2

The solutions are

x = 0, x = 2 i, x = - 2 i, x = - 2, x = 2

x^{5} = 81 x^{3}

z^{6} = 64

x, x^{3} - y = 0

z^{7} = 1

(6 x^{2} + 11 x + 4) (2 x - 3 b) = 0

What are the solutions to the equation 32x^3-8x^7=0 ?
The solutions to the equation 32x^3-8x^7=0 are x=0,x=sqrt(2)i,x=-sqrt(2)i,x=-sqrt(2),x=sqrt(2)
Find the zeros of 32x^3-8x^7=0
The zeros of 32x^3-8x^7=0 are x=0,x=sqrt(2)i,x=-sqrt(2)i,x=-sqrt(2),x=sqrt(2)