What are the solutions to the equation a*a*a=3a ?

The solutions to the equation a*a*a=3a are a=0,a=-sqrt(3),a=sqrt(3)

Find the zeros of a*a*a=3a

The zeros of a*a*a=3a are a=0,a=-sqrt(3),a=sqrt(3)

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a \cdot a \cdot a = 3 a

a = 0, a = - 3, a = 3

Decimal Notation

a = 0, a = - 1.73205 \dots, a = 1.73205 \dots

Solution steps

aaa = 3 a

Move

3 a

to the left side

aaa - 3 a = 0

Factor

aaa - 3 a : a (a + 3) (a - 3)

a (a + 3) (a - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

a = 0 or a + 3 = 0 or a - 3 = 0

Solve

a + 3 = 0 : a = - 3

Solve

a - 3 = 0 : a = 3

The solutions are

a = 0, a = - 3, a = 3

2 x^{3} + 3 x^{2} - 17 x + 12 = 0

z^{4} - 49 = 0

0.000004 x^{3} - 400 = 0

2 x (64 x^{2}) - 8 x^{2} (8 x) = 1

x^{2} + 2 x^{8} = 0

What are the solutions to the equation a*a*a=3a ?
The solutions to the equation a*a*a=3a are a=0,a=-sqrt(3),a=sqrt(3)
Find the zeros of a*a*a=3a
The zeros of a*a*a=3a are a=0,a=-sqrt(3),a=sqrt(3)