What are the solutions to the equation -2x^5-x^4-2x^3-x^2=0 ?

The solutions to the equation -2x^5-x^4-2x^3-x^2=0 are x=0,x=-1/2 ,x=i,x=-i

Find the zeros of -2x^5-x^4-2x^3-x^2=0

The zeros of -2x^5-x^4-2x^3-x^2=0 are x=0,x=-1/2 ,x=i,x=-i

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

x = 0, x = - \frac{1}{2}, x = i, x = - i

Solution steps

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

Factor

- 2 x^{5} - x^{4} - 2 x^{3} - x^{2} : - x^{2} (2 x + 1) (x^{2} + 1)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

2 x + 1 = 0 : x = - \frac{1}{2}

Solve

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

The solutions are

x = 0, x = - \frac{1}{2}, x = i, x = - i

2 x^{3} - 12 x^{2} - 8 x + 48 = 0

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

n^{3} = 256

x^{5} + 32 i = 0

0 = x^{3} + 6 x^{2} - 15 x + 8

What are the solutions to the equation -2x^5-x^4-2x^3-x^2=0 ?
The solutions to the equation -2x^5-x^4-2x^3-x^2=0 are x=0,x=-1/2 ,x=i,x=-i
Find the zeros of -2x^5-x^4-2x^3-x^2=0
The zeros of -2x^5-x^4-2x^3-x^2=0 are x=0,x=-1/2 ,x=i,x=-i