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

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

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

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

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roots

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

x = - 5, x = - 1, x = 1

Solution steps

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

The roots are the intercepts with the x-axis

(y = 0)

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

Factor

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

(x + 5) (x + 1) (x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 5 = 0 or x + 1 = 0 or x - 1 = 0

Solve

x + 5 = 0 : x = - 5

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

The solutions are

x = - 5, x = - 1, x = 1

x^{3} - 11 x^{2} + 31 x - 21 = 0

x^{6} + 126 x^{3} + 125 = 0

16 x^{3} - 16 x^{2} + 3 = 0

\frac{t ^{3}}{3} - t = 0

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

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