What are the solutions to the equation x^4+9x^3+x^2+9x=0 ?

The solutions to the equation x^4+9x^3+x^2+9x=0 are x=0,x=-9,x=i,x=-i

Find the zeros of x^4+9x^3+x^2+9x=0

The zeros of x^4+9x^3+x^2+9x=0 are x=0,x=-9,x=i,x=-i

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x^{4} + 9 x^{3} + x^{2} + 9 x = 0

x = 0, x = - 9, x = i, x = - i

Solution steps

x^{4} + 9 x^{3} + x^{2} + 9 x = 0

Factor

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

x (x + 9) (x^{2} + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 9 = 0 or x^{2} + 1 = 0

Solve

x + 9 = 0 : x = - 9

Solve

x^{2} + 1 = 0 : x = i, x = - i

The solutions are

x = 0, x = - 9, x = i, x = - i

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

(r^{2} + 5 r) (r^{2} + 5 r + 3) = 4

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

- 3 x^{4} + 25 = - 5 + x^{6}

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

What are the solutions to the equation x^4+9x^3+x^2+9x=0 ?
The solutions to the equation x^4+9x^3+x^2+9x=0 are x=0,x=-9,x=i,x=-i
Find the zeros of x^4+9x^3+x^2+9x=0
The zeros of x^4+9x^3+x^2+9x=0 are x=0,x=-9,x=i,x=-i