What are the solutions to the equation x^3-6x^2-25x+150=0 ?

The solutions to the equation x^3-6x^2-25x+150=0 are x=6,x=-5,x=5

Find the zeros of x^3-6x^2-25x+150=0

The zeros of x^3-6x^2-25x+150=0 are x=6,x=-5,x=5

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x^{3} - 6 x^{2} - 25 x + 150 = 0

x = 6, x = - 5, x = 5

Solution steps

x^{3} - 6 x^{2} - 25 x + 150 = 0

Factor

x^{3} - 6 x^{2} - 25 x + 150 : (x - 6) (x + 5) (x - 5)

(x - 6) (x + 5) (x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 6 = 0 or x + 5 = 0 or x - 5 = 0

Solve

x - 6 = 0 : x = 6

Solve

x + 5 = 0 : x = - 5

Solve

x - 5 = 0 : x = 5

The solutions are

x = 6, x = - 5, x = 5

x^{3} + 12 x^{2} + 35 x = 0

x^{4} - 19 x^{2} + 90 = 0

3 x^{1} - 5 x^{2} + 4 x^{3} = 7

x^{3} - 5 x^{2} = - 6 x

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

What are the solutions to the equation x^3-6x^2-25x+150=0 ?
The solutions to the equation x^3-6x^2-25x+150=0 are x=6,x=-5,x=5
Find the zeros of x^3-6x^2-25x+150=0
The zeros of x^3-6x^2-25x+150=0 are x=6,x=-5,x=5