(2p^2-7p-30)/p-6

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Solution for (2p^2-7p-30)/p-6 equation: 


D( p )

p = 0

p = 0

p = 0

p in (-oo:0) U (0:+oo)

(2*p^2-(7*p)-30)/p-6 = 0

(2*p^2-7*p-30)/p-6 = 0

(2*p^2-7*p-30)/p+(-6*p)/p = 0

2*p^2-7*p-6*p-30 = 0

2*p^2-13*p-30 = 0

2*p^2-13*p-30 = 0

2*p^2-13*p-30 = 0

DELTA = (-13)^2-(-30*2*4)

DELTA = 409

DELTA > 0

p = (409^(1/2)+13)/(2*2) or p = (13-409^(1/2))/(2*2)

p = (409^(1/2)+13)/4 or p = (13-409^(1/2))/4

(p-((13-409^(1/2))/4))*(p-((409^(1/2)+13)/4)) = 0

((p-((13-409^(1/2))/4))*(p-((409^(1/2)+13)/4)))/p = 0

((p-((13-409^(1/2))/4))*(p-((409^(1/2)+13)/4)))/p = 0 // * p

(p-((13-409^(1/2))/4))*(p-((409^(1/2)+13)/4)) = 0

( p-((13-409^(1/2))/4) )

p-((13-409^(1/2))/4) = 0 // + (13-409^(1/2))/4

p = (13-409^(1/2))/4

( p-((409^(1/2)+13)/4) )

p-((409^(1/2)+13)/4) = 0 // + (409^(1/2)+13)/4

p = (409^(1/2)+13)/4

p in { (13-409^(1/2))/4, (409^(1/2)+13)/4 }

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