(2p2+7p-39)/(2p-7)

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Solution for (2p2+7p-39)/(2p-7) equation: 


D( p )

2*p-7 = 0

2*p-7 = 0

2*p-7 = 0

2*p-7 = 0 // + 7

2*p = 7 // : 2

p = 7/2

p in (-oo:7/2) U (7/2:+oo)

(2*p^2+7*p-39)/(2*p-7) = 0

2*p^2+7*p-39 = 0

2*p^2+7*p-39 = 0

DELTA = 7^2-(-39*2*4)

DELTA = 361

DELTA > 0

p = (361^(1/2)-7)/(2*2) or p = (-361^(1/2)-7)/(2*2)

p = 3 or p = -13/2

(p+13/2)*(p-3) = 0

((p+13/2)*(p-3))/(2*p-7) = 0

( p+13/2 )

p+13/2 = 0 // - 13/2

p = -13/2

( p-3 )

p-3 = 0 // + 3

p = 3

p in { -13/2, 3 }

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