What are the solutions to the equation 2x^3+6x^2+5x+15=0 ?

The solutions to the equation 2x^3+6x^2+5x+15=0 are x=-3,x=sqrt(5/2)i,x=-sqrt(5/2)i

Find the zeros of 2x^3+6x^2+5x+15=0

The zeros of 2x^3+6x^2+5x+15=0 are x=-3,x=sqrt(5/2)i,x=-sqrt(5/2)i

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2 x^{3} + 6 x^{2} + 5 x + 15 = 0

x = - 3, x = \frac{5}{2} i, x = - \frac{5}{2} i

Solution steps

2 x^{3} + 6 x^{2} + 5 x + 15 = 0

Factor

2 x^{3} + 6 x^{2} + 5 x + 15 : (x + 3) (2 x^{2} + 5)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x + 3 = 0 : x = - 3

Solve

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

The solutions are

x = - 3, x = \frac{5}{2} i, x = - \frac{5}{2} i

- 9 m^{3} + 18 m^{2} - 8 m = 0

x, (x - 3)^{3} = 8 (y - 2)

x^{3} + 3 x^{2} + 3 x + 9 = 0

x^{4} - 9 x^{2} - 22 = 0

x^{4} - 9 x^{3} + 29 x^{2} - 39 x + 18 = 0

What are the solutions to the equation 2x^3+6x^2+5x+15=0 ?
The solutions to the equation 2x^3+6x^2+5x+15=0 are x=-3,x=sqrt(5/2)i,x=-sqrt(5/2)i
Find the zeros of 2x^3+6x^2+5x+15=0
The zeros of 2x^3+6x^2+5x+15=0 are x=-3,x=sqrt(5/2)i,x=-sqrt(5/2)i