What are the solutions to the equation a^3+a^2=2a^2 ?

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

Find the zeros of a^3+a^2=2a^2

The zeros of a^3+a^2=2a^2 are a=0,a=1

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a^{3} + a^{2} = 2 a^{2}

a = 0, a = 1

Solution steps

a^{3} + a^{2} = 2 a^{2}

Move

2 a^{2}

to the left side

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

a = 0 or a - 1 = 0

Solve

a - 1 = 0 : a = 1

The solutions are

a = 0, a = 1

m^{4} + 8 m^{2} + 16 = 0

9 x^{3} + 18 x^{2} - 4 x - 8 = 0

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

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

216 = 1 r^{4 - 1}

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