What are the solutions to the equation roots x^5-3x^2+4 ?

The solutions to the equation roots x^5-3x^2+4 are x=-1

Find the zeros of roots x^5-3x^2+4

The zeros of roots x^5-3x^2+4 are x=-1

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roots

x^{5} - 3 x^{2} + 4

x = - 1

Solution steps

x^{5} - 3 x^{2} + 4

The roots are the intercepts with the x-axis

(y = 0)

x^{5} - 3 x^{2} + 4 = 0

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x + 1 = 0 : x = - 1

Solve

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

No Solution for

x \in R

The solution is

x = - 1

x^{3} - 9 x^{2} + 8 x + 60 = 0

x^{3} + x^{2} - 2 x - 8 = 0

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

0 = x^{4} - 5 x^{2} + 4

x^{3} - 6 x^{2} + x + 28 = 0

What are the solutions to the equation roots x^5-3x^2+4 ?
The solutions to the equation roots x^5-3x^2+4 are x=-1
Find the zeros of roots x^5-3x^2+4
The zeros of roots x^5-3x^2+4 are x=-1