What are the solutions to the equation 5p-15p^2=0 ?

The solutions to the equation 5p-15p^2=0 are p=0,p= 1/3

Find the zeros of 5p-15p^2=0

The zeros of 5p-15p^2=0 are p=0,p= 1/3

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5 p - 15 p^{2} = 0

p = 0, p = \frac{1}{3}

Decimal Notation

p = 0, p = 0.33333 \dots

Solution steps

5 p - 15 p^{2} = 0

Write in the standard form

a x^{2} + b x + c = 0

- 15 p^{2} + 5 p = 0

Solve with the quadratic formula

p_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 ( - 15 ) \cdot 0}{2 ( - 15 )}

5^{2} - 4 (- 15) \cdot 0 = 5

p_{1, 2} = \frac{- 5 \pm 5}{2 ( - 15 )}

Separate the solutions

p_{1} = \frac{- 5 + 5}{2 ( - 15 )}, p_{2} = \frac{- 5 - 5}{2 ( - 15 )}

p = \frac{- 5 + 5}{2 ( - 15 )} : 0

p = \frac{- 5 - 5}{2 ( - 15 )} : \frac{1}{3}

The solutions to the quadratic equation are:

p = 0, p = \frac{1}{3}

(2 k + 2) x^{2} + 4 x - 4 k x + k - 2 = 0

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

(x^{2} - x - 11) = 0

x^{2} = 15 + 9 x

x^{2} + 8 x + 11

What are the solutions to the equation 5p-15p^2=0 ?
The solutions to the equation 5p-15p^2=0 are p=0,p= 1/3
Find the zeros of 5p-15p^2=0
The zeros of 5p-15p^2=0 are p=0,p= 1/3