What are the solutions to the equation x^3-13x^2+52x-60=0 ?

The solutions to the equation x^3-13x^2+52x-60=0 are x=2,x=5,x=6

Find the zeros of x^3-13x^2+52x-60=0

The zeros of x^3-13x^2+52x-60=0 are x=2,x=5,x=6

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x^{3} - 13 x^{2} + 52 x - 60 = 0

x = 2, x = 5, x = 6

Solution steps

x^{3} - 13 x^{2} + 52 x - 60 = 0

Factor

x^{3} - 13 x^{2} + 52 x - 60 : (x - 2) (x - 5) (x - 6)

(x - 2) (x - 5) (x - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 2 = 0 or x - 5 = 0 or x - 6 = 0

Solve

x - 2 = 0 : x = 2

Solve

x - 5 = 0 : x = 5

Solve

x - 6 = 0 : x = 6

The solutions are

x = 2, x = 5, x = 6

- x^{3} + 14 x^{2} - 59 x + 70 = 0

y, 4 x^{3} - 16 y = 0

x^{4} - x^{2} + (\frac{1}{4}) = 0

5 x^{4} + 15 x^{2} + 50 = 0

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

What are the solutions to the equation x^3-13x^2+52x-60=0 ?
The solutions to the equation x^3-13x^2+52x-60=0 are x=2,x=5,x=6
Find the zeros of x^3-13x^2+52x-60=0
The zeros of x^3-13x^2+52x-60=0 are x=2,x=5,x=6