What are the solutions to the equation roots 4x^3-12x^2 ?

The solutions to the equation roots 4x^3-12x^2 are x=0,x=3

Find the zeros of roots 4x^3-12x^2

The zeros of roots 4x^3-12x^2 are x=0,x=3

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roots

4 x^{3} - 12 x^{2}

x = 0, x = 3

Solution steps

4 x^{3} - 12 x^{2}

The roots are the intercepts with the x-axis

(y = 0)

4 x^{3} - 12 x^{2} = 0

Factor

4 x^{3} - 12 x^{2} : 4 x^{2} (x - 3)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 3 = 0

Solve

x - 3 = 0 : x = 3

The solutions are

x = 0, x = 3

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

3 x^{3} + 5 x^{2} + 75 x + 125 = 0

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

x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1 = 0

x^{4} - i \cdot x^{2} + 2 = 0

What are the solutions to the equation roots 4x^3-12x^2 ?
The solutions to the equation roots 4x^3-12x^2 are x=0,x=3
Find the zeros of roots 4x^3-12x^2
The zeros of roots 4x^3-12x^2 are x=0,x=3