What are the solutions to the equation solvefor p,10-p^2=3p ?

The solutions to the equation solvefor p,10-p^2=3p are p=-5,p=2

Find the zeros of solvefor p,10-p^2=3p

The zeros of solvefor p,10-p^2=3p are p=-5,p=2

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p, 10 - p^{2} = 3 p

p = - 5, p = 2

Solution steps

10 - p^{2} = 3 p

Move

3 p

to the left side

10 - p^{2} - 3 p = 0

Write in the standard form

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

- p^{2} - 3 p + 10 = 0

Solve with the quadratic formula

p_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 ( - 1 ) \cdot 10}{2 ( - 1 )}

(- 3)^{2} - 4 (- 1) \cdot 10 = 7

p_{1, 2} = \frac{- ( - 3 ) \pm 7}{2 ( - 1 )}

Separate the solutions

p_{1} = \frac{- ( - 3 ) + 7}{2 ( - 1 )}, p_{2} = \frac{- ( - 3 ) - 7}{2 ( - 1 )}

p = \frac{- ( - 3 ) + 7}{2 ( - 1 )} : - 5

p = \frac{- ( - 3 ) - 7}{2 ( - 1 )} : 2

The solutions to the quadratic equation are:

p = - 5, p = 2

X^{2} - 2 X = - X + 6

- 5 x^{2} - 40 x - 86

- 3 x^{2} - 2 x = - 10

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

3 q^{2} - 18 q + 24 = 0

What are the solutions to the equation solvefor p,10-p^2=3p ?
The solutions to the equation solvefor p,10-p^2=3p are p=-5,p=2
Find the zeros of solvefor p,10-p^2=3p
The zeros of solvefor p,10-p^2=3p are p=-5,p=2