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

The solutions to the equation x^3-2x^2=0 are x=0,x=2

Find the zeros of x^3-2x^2=0

The zeros of x^3-2x^2=0 are x=0,x=2

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

x = 0, x = 2

Solution steps

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

Factor

x^{3} - 2 x^{2} : x^{2} (x - 2)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 2 = 0

Solve

x - 2 = 0 : x = 2

The solutions are

x = 0, x = 2

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

y, y^{3} = C x^{4} - 3 x

x^{4} = 256

x^{4} - 6 x^{2} + 2 = 0

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

What are the solutions to the equation x^3-2x^2=0 ?
The solutions to the equation x^3-2x^2=0 are x=0,x=2
Find the zeros of x^3-2x^2=0
The zeros of x^3-2x^2=0 are x=0,x=2