What are the solutions to the equation x^3+6x^2+13x=0 ?

The solutions to the equation x^3+6x^2+13x=0 are x=0,x=-3+2i,x=-3-2i

Find the zeros of x^3+6x^2+13x=0

The zeros of x^3+6x^2+13x=0 are x=0,x=-3+2i,x=-3-2i

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x^{3} + 6 x^{2} + 13 x = 0

x = 0, x = - 3 + 2 i, x = - 3 - 2 i

Solution steps

x^{3} + 6 x^{2} + 13 x = 0

Factor

x^{3} + 6 x^{2} + 13 x : x (x^{2} + 6 x + 13)

x (x^{2} + 6 x + 13) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} + 6 x + 13 = 0

Solve

x^{2} + 6 x + 13 = 0 : x = - 3 + 2 i, x = - 3 - 2 i

The solutions are

x = 0, x = - 3 + 2 i, x = - 3 - 2 i

x^{3} - 10 x^{2} + 16 x = 0

4 x^{3} - 1 = 0

x^{4} - 61 x^{2} + 900 = 0

x^{4} = 4 x^{2}

y^{2} - y^{3} = 0

What are the solutions to the equation x^3+6x^2+13x=0 ?
The solutions to the equation x^3+6x^2+13x=0 are x=0,x=-3+2i,x=-3-2i
Find the zeros of x^3+6x^2+13x=0
The zeros of x^3+6x^2+13x=0 are x=0,x=-3+2i,x=-3-2i