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

The solutions to the equation x^3=x^2 are x=0,x=1

Find the zeros of x^3=x^2

The zeros of x^3=x^2 are x=0,x=1

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x^{3} = x^{2}

x = 0, x = 1

Solution steps

x^{3} = x^{2}

Move

x^{2}

to the left side

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

Factor

x^{3} - x^{2} : x^{2} (x - 1)

x^{2} (x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 1 = 0

Solve

x - 1 = 0 : x = 1

The solutions are

x = 0, x = 1

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

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

x^{3} + 4 x^{2} - 10 = 0

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

x^{3} - 6 x^{2} + 9 x = 0

What are the solutions to the equation x^3=x^2 ?
The solutions to the equation x^3=x^2 are x=0,x=1
Find the zeros of x^3=x^2
The zeros of x^3=x^2 are x=0,x=1