What are the solutions to the equation roots x^3+5x^2+9x+5 ?

The solutions to the equation roots x^3+5x^2+9x+5 are x=-1,x=-2+i,x=-2-i

Find the zeros of roots x^3+5x^2+9x+5

The zeros of roots x^3+5x^2+9x+5 are x=-1,x=-2+i,x=-2-i

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roots

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

x = - 1, x = - 2 + i, x = - 2 - i

Solution steps

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

The roots are the intercepts with the x-axis

(y = 0)

x^{3} + 5 x^{2} + 9 x + 5 = 0

Factor

x^{3} + 5 x^{2} + 9 x + 5 : (x + 1) (x^{2} + 4 x + 5)

(x + 1) (x^{2} + 4 x + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x^{2} + 4 x + 5 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x^{2} + 4 x + 5 = 0 : x = - 2 + i, x = - 2 - i

The solutions are

x = - 1, x = - 2 + i, x = - 2 - i

x^{4} + 8 = - 9 x^{2}

x^{3} + 5 x^{2} + 7 x + 3 = 0

12 x^{4} - 32 x^{3} + 13 x^{2} + 8 x + 1 = 0

a^{3} = 3^{9} \times 1 2^{3} \times 2 1^{6}

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

What are the solutions to the equation roots x^3+5x^2+9x+5 ?
The solutions to the equation roots x^3+5x^2+9x+5 are x=-1,x=-2+i,x=-2-i
Find the zeros of roots x^3+5x^2+9x+5
The zeros of roots x^3+5x^2+9x+5 are x=-1,x=-2+i,x=-2-i