What are the solutions to the equation x^3+5x^2-25x-125=0 ?

The solutions to the equation x^3+5x^2-25x-125=0 are x=-5,x=5

Find the zeros of x^3+5x^2-25x-125=0

The zeros of x^3+5x^2-25x-125=0 are x=-5,x=5

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x^{3} + 5 x^{2} - 25 x - 125 = 0

x = - 5, x = 5

Solution steps

x^{3} + 5 x^{2} - 25 x - 125 = 0

Factor

x^{3} + 5 x^{2} - 25 x - 125 : (x + 5)^{2} (x - 5)

(x + 5)^{2} (x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 5 = 0 or x - 5 = 0

Solve

x + 5 = 0 : x = - 5

Solve

x - 5 = 0 : x = 5

The solutions are

x = - 5, x = 5

x^{4} + 12 x^{2} - 64 = 0

t^{3} - 9 t^{2} = 0

x^{3} + 2 x^{2} + 1 = 0

v^{3} = 36

v^{3} = - 1

What are the solutions to the equation x^3+5x^2-25x-125=0 ?
The solutions to the equation x^3+5x^2-25x-125=0 are x=-5,x=5
Find the zeros of x^3+5x^2-25x-125=0
The zeros of x^3+5x^2-25x-125=0 are x=-5,x=5