What are the solutions to the equation a*a^2*a^3=a^5 ?

The solutions to the equation a*a^2*a^3=a^5 are a=0,a=1

Find the zeros of a*a^2*a^3=a^5

The zeros of a*a^2*a^3=a^5 are a=0,a=1

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a \cdot a^{2} \cdot a^{3} = a^{5}

a = 0, a = 1

Solution steps

a a^{2} a^{3} = a^{5}

Move

a^{5}

to the left side

a^{6} - a^{5} = 0

Factor

a^{6} - a^{5} : a^{5} (a - 1)

a^{5} (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

x^{3} - 6 x^{2} - 7 x - 52 = 0

(3 x - 2) (x - 4) (x + 5) = 0

10 x^{2} - 15 = 3 x (6 x^{2} - 5 x)

1 = x^{5}

x^{4} + 8 x^{3} + 17 x^{2} - 2 x - 24 = 0

What are the solutions to the equation a*a^2*a^3=a^5 ?
The solutions to the equation a*a^2*a^3=a^5 are a=0,a=1
Find the zeros of a*a^2*a^3=a^5
The zeros of a*a^2*a^3=a^5 are a=0,a=1