What are the solutions to the equation x^3-18x^2+101x-180=0 ?

The solutions to the equation x^3-18x^2+101x-180=0 are x=4,x=5,x=9

Find the zeros of x^3-18x^2+101x-180=0

The zeros of x^3-18x^2+101x-180=0 are x=4,x=5,x=9

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x^{3} - 18 x^{2} + 101 x - 180 = 0

x = 4, x = 5, x = 9

Solution steps

x^{3} - 18 x^{2} + 101 x - 180 = 0

Factor

x^{3} - 18 x^{2} + 101 x - 180 : (x - 4) (x - 5) (x - 9)

(x - 4) (x - 5) (x - 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 4 = 0 or x - 5 = 0 or x - 9 = 0

Solve

x - 4 = 0 : x = 4

Solve

x - 5 = 0 : x = 5

Solve

x - 9 = 0 : x = 9

The solutions are

x = 4, x = 5, x = 9

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

4 x^{3} - 100 x = 0

4 x^{3} + 16 x^{2} - x - 4 = 0

x^{3} - 12 x^{2} + 47 x = 60

(1 + x)^{20} = 2

What are the solutions to the equation x^3-18x^2+101x-180=0 ?
The solutions to the equation x^3-18x^2+101x-180=0 are x=4,x=5,x=9
Find the zeros of x^3-18x^2+101x-180=0
The zeros of x^3-18x^2+101x-180=0 are x=4,x=5,x=9