(p+5)^2=69/2

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Solution for (p+5)^2=69/2 equation: 


p in (-oo:+oo)

(p+5)^2 = 69/2 // - 69/2

(p+5)^2-(69/2) = 0

(p+5)^2-69/2 = 0

(2*(p+5)^2)/2-69/2 = 0

2*(p+5)^2-69 = 0

2*p^2+20*p-19 = 0

2*p^2+20*p-19 = 0

2*p^2+20*p-19 = 0

DELTA = 20^2-(-19*2*4)

DELTA = 552

DELTA > 0

p = (552^(1/2)-20)/(2*2) or p = (-552^(1/2)-20)/(2*2)

p = (2*138^(1/2)-20)/4 or p = (-2*138^(1/2)-20)/4

(p-((-2*138^(1/2)-20)/4))*(p-((2*138^(1/2)-20)/4)) = 0

((p-((-2*138^(1/2)-20)/4))*(p-((2*138^(1/2)-20)/4)))/2 = 0

((p-((-2*138^(1/2)-20)/4))*(p-((2*138^(1/2)-20)/4)))/2 = 0 // * 2

(p-((-2*138^(1/2)-20)/4))*(p-((2*138^(1/2)-20)/4)) = 0

( p-((-2*138^(1/2)-20)/4) )

p-((-2*138^(1/2)-20)/4) = 0 // + (-2*138^(1/2)-20)/4

p = (-2*138^(1/2)-20)/4

( p-((2*138^(1/2)-20)/4) )

p-((2*138^(1/2)-20)/4) = 0 // + (2*138^(1/2)-20)/4

p = (2*138^(1/2)-20)/4

p in { (-2*138^(1/2)-20)/4, (2*138^(1/2)-20)/4 }

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