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

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


D( p )

p-6 = 0

p-6 = 0

p-6 = 0

p-6 = 0 // + 6

p = 6

p in (-oo:6) U (6:+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 = 0

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

DELTA = (-7)^2-(-30*2*4)

DELTA = 289

DELTA > 0

p = (289^(1/2)+7)/(2*2) or p = (7-289^(1/2))/(2*2)

p = 6 or p = -5/2

(p+5/2)*(p-6) = 0

p+5/2 = 0

p+5/2 = 0 // - 5/2

p = -5/2

p = -5/2

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