What are the solutions to the equation x^3+4x^2+4x+16=0 ?

The solutions to the equation x^3+4x^2+4x+16=0 are x=-4,x=2i,x=-2i

Find the zeros of x^3+4x^2+4x+16=0

The zeros of x^3+4x^2+4x+16=0 are x=-4,x=2i,x=-2i

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x^{3} + 4 x^{2} + 4 x + 16 = 0

x = - 4, x = 2 i, x = - 2 i

Solution steps

x^{3} + 4 x^{2} + 4 x + 16 = 0

Factor

x^{3} + 4 x^{2} + 4 x + 16 : (x + 4) (x^{2} + 4)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x + 4 = 0 : x = - 4

Solve

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

The solutions are

x = - 4, x = 2 i, x = - 2 i

x^{3} - 25 x^{2} = 0

4 s^{3} + 36 s^{2} + 128 s + 128 = 0

20 x + 8 x^{2} - x^{3} = 0

- 10 x - (9 x + 6) = 3 + x^{3} + x

x^{4} = 20736

What are the solutions to the equation x^3+4x^2+4x+16=0 ?
The solutions to the equation x^3+4x^2+4x+16=0 are x=-4,x=2i,x=-2i
Find the zeros of x^3+4x^2+4x+16=0
The zeros of x^3+4x^2+4x+16=0 are x=-4,x=2i,x=-2i