What are the solutions to the equation 9p^2-4p^3=0 ?

The solutions to the equation 9p^2-4p^3=0 are p=0,p= 9/4

Find the zeros of 9p^2-4p^3=0

The zeros of 9p^2-4p^3=0 are p=0,p= 9/4

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9 p^{2} - 4 p^{3} = 0

p = 0, p = \frac{9}{4}

Solution steps

9 p^{2} - 4 p^{3} = 0

Factor

9 p^{2} - 4 p^{3} : - p^{2} (4 p - 9)

- p^{2} (4 p - 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

p = 0 or 4 p - 9 = 0

Solve

4 p - 9 = 0 : p = \frac{9}{4}

The solutions are

p = 0, p = \frac{9}{4}

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

- 4 x^{4} + 5 x^{3} - x^{2} = 0

6 x^{5} - 54 x = 0

x^{3} - 2 x^{2} - 14 x + 28 = 0

x, (2 x + 1)^{4} - 80 = 1

What are the solutions to the equation 9p^2-4p^3=0 ?
The solutions to the equation 9p^2-4p^3=0 are p=0,p= 9/4
Find the zeros of 9p^2-4p^3=0
The zeros of 9p^2-4p^3=0 are p=0,p= 9/4