What are the solutions to the equation x^3-17x^2+72x=0 ?

The solutions to the equation x^3-17x^2+72x=0 are x=0,x=8,x=9

Find the zeros of x^3-17x^2+72x=0

The zeros of x^3-17x^2+72x=0 are x=0,x=8,x=9

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x^{3} - 17 x^{2} + 72 x = 0

x = 0, x = 8, x = 9

Solution steps

x^{3} - 17 x^{2} + 72 x = 0

Factor

x^{3} - 17 x^{2} + 72 x : x (x - 8) (x - 9)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 8 = 0 or x - 9 = 0

Solve

x - 8 = 0 : x = 8

Solve

x - 9 = 0 : x = 9

The solutions are

x = 0, x = 8, x = 9

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

x^{3} + 6 x^{2} + 3 x - 10 = 0

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

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

3 x^{4} = 81 x

What are the solutions to the equation x^3-17x^2+72x=0 ?
The solutions to the equation x^3-17x^2+72x=0 are x=0,x=8,x=9
Find the zeros of x^3-17x^2+72x=0
The zeros of x^3-17x^2+72x=0 are x=0,x=8,x=9