What are the solutions to the equation x^3+5x^2+3x+15=0 ?

The solutions to the equation x^3+5x^2+3x+15=0 are x=-5,x=sqrt(3)i,x=-sqrt(3)i

Find the zeros of x^3+5x^2+3x+15=0

The zeros of x^3+5x^2+3x+15=0 are x=-5,x=sqrt(3)i,x=-sqrt(3)i

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x^{3} + 5 x^{2} + 3 x + 15 = 0

x = - 5, x = 3 i, x = - 3 i

Solution steps

x^{3} + 5 x^{2} + 3 x + 15 = 0

Factor

x^{3} + 5 x^{2} + 3 x + 15 : (x + 5) (x^{2} + 3)

(x + 5) (x^{2} + 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 5 = 0 or x^{2} + 3 = 0

Solve

x + 5 = 0 : x = - 5

Solve

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

The solutions are

x = - 5, x = 3 i, x = - 3 i

- x^{6} - 3 x^{4} + 2 = 0

x^{3} - 7 x^{2} + 15 x - 9

2 x^{4} = 4 x - 8

x^{3} - 5 x^{2} - 9 x + 45

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

What are the solutions to the equation x^3+5x^2+3x+15=0 ?
The solutions to the equation x^3+5x^2+3x+15=0 are x=-5,x=sqrt(3)i,x=-sqrt(3)i
Find the zeros of x^3+5x^2+3x+15=0
The zeros of x^3+5x^2+3x+15=0 are x=-5,x=sqrt(3)i,x=-sqrt(3)i