What are the solutions to the equation x^5+5x^2+3x-9=0 ?

The solutions to the equation x^5+5x^2+3x-9=0 are x=1

Find the zeros of x^5+5x^2+3x-9=0

The zeros of x^5+5x^2+3x-9=0 are x=1

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

x = 1

Solution steps

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

Factor

x^{5} + 5 x^{2} + 3 x - 9 : (x - 1) (x^{4} + x^{3} + x^{2} + 6 x + 9)

(x - 1) (x^{4} + x^{3} + x^{2} + 6 x + 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x^{4} + x^{3} + x^{2} + 6 x + 9 = 0

Solve

x - 1 = 0 : x = 1

Solve

x^{4} + x^{3} + x^{2} + 6 x + 9 = 0 :

No Solution for

x \in R

The solution is

x = 1

x^{9} + n^{5} - n^{4} - 1 = 0

z^{4} = (1 - i)^{4}

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

z^{4} + 1 = 0

x^{4} - 80 = 1

What are the solutions to the equation x^5+5x^2+3x-9=0 ?
The solutions to the equation x^5+5x^2+3x-9=0 are x=1
Find the zeros of x^5+5x^2+3x-9=0
The zeros of x^5+5x^2+3x-9=0 are x=1