What are the solutions to the equation x^3-13x^2+56x-80=0 ?

The solutions to the equation x^3-13x^2+56x-80=0 are x=4,x=5

Find the zeros of x^3-13x^2+56x-80=0

The zeros of x^3-13x^2+56x-80=0 are x=4,x=5

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x^{3} - 13 x^{2} + 56 x - 80 = 0

x = 4, x = 5

Solution steps

x^{3} - 13 x^{2} + 56 x - 80 = 0

Factor

x^{3} - 13 x^{2} + 56 x - 80 : (x - 4)^{2} (x - 5)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 4 = 0 or x - 5 = 0

Solve

x - 4 = 0 : x = 4

Solve

x - 5 = 0 : x = 5

The solutions are

x = 4, x = 5

(t)^{3} = 1.55

9 m^{5} = 27 m^{3}

x^{3} - 4 x^{2} - 8 x - 10 = 0

16 x^{4} - 25 x^{2} = 0

27 x^{3} - 9 x^{2} - 12 x + 4 = 0

What are the solutions to the equation x^3-13x^2+56x-80=0 ?
The solutions to the equation x^3-13x^2+56x-80=0 are x=4,x=5
Find the zeros of x^3-13x^2+56x-80=0
The zeros of x^3-13x^2+56x-80=0 are x=4,x=5