What are the solutions to the equation x^3+6x^2+5x+30=0 ?

The solutions to the equation x^3+6x^2+5x+30=0 are x=-6,x=sqrt(5)i,x=-sqrt(5)i

Find the zeros of x^3+6x^2+5x+30=0

The zeros of x^3+6x^2+5x+30=0 are x=-6,x=sqrt(5)i,x=-sqrt(5)i

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x^{3} + 6 x^{2} + 5 x + 30 = 0

x = - 6, x = 5 i, x = - 5 i

Solution steps

x^{3} + 6 x^{2} + 5 x + 30 = 0

Factor

x^{3} + 6 x^{2} + 5 x + 30 : (x + 6) (x^{2} + 5)

(x + 6) (x^{2} + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 6 = 0 or x^{2} + 5 = 0

Solve

x + 6 = 0 : x = - 6

Solve

x^{2} + 5 = 0 : x = 5 i, x = - 5 i

The solutions are

x = - 6, x = 5 i, x = - 5 i

9 x^{5} - 36 x = 0

x^{3} - x^{2} - 4 x - 1 = 0

x^{3} - 6 x^{2} + 11 x - 6.1 = 0

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

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

What are the solutions to the equation x^3+6x^2+5x+30=0 ?
The solutions to the equation x^3+6x^2+5x+30=0 are x=-6,x=sqrt(5)i,x=-sqrt(5)i
Find the zeros of x^3+6x^2+5x+30=0
The zeros of x^3+6x^2+5x+30=0 are x=-6,x=sqrt(5)i,x=-sqrt(5)i