What are the solutions to the equation x^3-16x^2+55x+72=0 ?

The solutions to the equation x^3-16x^2+55x+72=0 are x=-1,x=8,x=9

Find the zeros of x^3-16x^2+55x+72=0

The zeros of x^3-16x^2+55x+72=0 are x=-1,x=8,x=9

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x^{3} - 16 x^{2} + 55 x + 72 = 0

x = - 1, x = 8, x = 9

Solution steps

x^{3} - 16 x^{2} + 55 x + 72 = 0

Factor

x^{3} - 16 x^{2} + 55 x + 72 : (x + 1) (x - 8) (x - 9)

(x + 1) (x - 8) (x - 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x - 8 = 0 or x - 9 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 8 = 0 : x = 8

Solve

x - 9 = 0 : x = 9

The solutions are

x = - 1, x = 8, x = 9

- x^{4} - 8 x^{3} + 20 x^{2} = 0

12 x^{3} - 3 x^{2} = 0

2 x^{3} + 9 x^{2} - 24 x - 12 = 0

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

x^{3} - 10 x^{2} + 32 x - 32 = 0

What are the solutions to the equation x^3-16x^2+55x+72=0 ?
The solutions to the equation x^3-16x^2+55x+72=0 are x=-1,x=8,x=9
Find the zeros of x^3-16x^2+55x+72=0
The zeros of x^3-16x^2+55x+72=0 are x=-1,x=8,x=9