What are the solutions to the equation x^3-x^2-15x-25=0 ?

The solutions to the equation x^3-x^2-15x-25=0 are x=5,x=-2+i,x=-2-i

Find the zeros of x^3-x^2-15x-25=0

The zeros of x^3-x^2-15x-25=0 are x=5,x=-2+i,x=-2-i

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x^{3} - x^{2} - 15 x - 25 = 0

x = 5, x = - 2 + i, x = - 2 - i

Solution steps

x^{3} - x^{2} - 15 x - 25 = 0

Factor

x^{3} - x^{2} - 15 x - 25 : (x - 5) (x^{2} + 4 x + 5)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 5 = 0 : x = 5

Solve

x^{2} + 4 x + 5 = 0 : x = - 2 + i, x = - 2 - i

The solutions are

x = 5, x = - 2 + i, x = - 2 - i

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

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

- 4 x^{4} + x^{3} + x^{2} + x + 3.5 = 0

200 s^{3} + 332 s^{2} + 223 s + 2 = 0

r^{3} - r = 0

What are the solutions to the equation x^3-x^2-15x-25=0 ?
The solutions to the equation x^3-x^2-15x-25=0 are x=5,x=-2+i,x=-2-i
Find the zeros of x^3-x^2-15x-25=0
The zeros of x^3-x^2-15x-25=0 are x=5,x=-2+i,x=-2-i