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

The solutions to the equation x^3+x^2+16x+16=0 are x=-1,x=4i,x=-4i

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

The zeros of x^3+x^2+16x+16=0 are x=-1,x=4i,x=-4i

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

x = - 1, x = 4 i, x = - 4 i

Solution steps

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

Factor

x^{3} + x^{2} + 16 x + 16 : (x + 1) (x^{2} + 16)

(x + 1) (x^{2} + 16) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x^{2} + 16 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x^{2} + 16 = 0 : x = 4 i, x = - 4 i

The solutions are

x = - 1, x = 4 i, x = - 4 i

x^{4} + 2 x^{3} - 13 x^{2} - 14 x + 24 = 0

x, x^{4} - 1 = 0

z^{4} = 1 - i

5 x^{3} + x = 0

x^{3} - 10 x^{2} + 27 x - 18 = 0

What are the solutions to the equation x^3+x^2+16x+16=0 ?
The solutions to the equation x^3+x^2+16x+16=0 are x=-1,x=4i,x=-4i
Find the zeros of x^3+x^2+16x+16=0
The zeros of x^3+x^2+16x+16=0 are x=-1,x=4i,x=-4i