What are the solutions to the equation k^3-9k^2+8k+60=0 ?

The solutions to the equation k^3-9k^2+8k+60=0 are k=-2,k=5,k=6

Find the zeros of k^3-9k^2+8k+60=0

The zeros of k^3-9k^2+8k+60=0 are k=-2,k=5,k=6

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k^{3} - 9 k^{2} + 8 k + 60 = 0

k = - 2, k = 5, k = 6

Solution steps

k^{3} - 9 k^{2} + 8 k + 60 = 0

Factor

k^{3} - 9 k^{2} + 8 k + 60 : (k + 2) (k - 5) (k - 6)

(k + 2) (k - 5) (k - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

k + 2 = 0 or k - 5 = 0 or k - 6 = 0

Solve

k + 2 = 0 : k = - 2

Solve

k - 5 = 0 : k = 5

Solve

k - 6 = 0 : k = 6

The solutions are

k = - 2, k = 5, k = 6

x^{3} + 2 x^{2} - 5 x + 6 = 0

x^{3} + 2 x^{2} - 5 x - 10 = 0

0 = x^{3} + x - 2

x^{3} - 3 x^{2} - 25 x - 21 = 0

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

What are the solutions to the equation k^3-9k^2+8k+60=0 ?
The solutions to the equation k^3-9k^2+8k+60=0 are k=-2,k=5,k=6
Find the zeros of k^3-9k^2+8k+60=0
The zeros of k^3-9k^2+8k+60=0 are k=-2,k=5,k=6