22/p+3(2/3p-8)=-10

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Solution for 22/p+3(2/3p-8)=-10 equation: 


D( p )

p = 0

p = 0

p = 0

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

3*((2/3)*p-8)+22/p = -10 // + 10

3*((2/3)*p-8)+22/p+10 = 0

3*(2/3*p-8)+22/p+10 = 0

(3*p*(2/3*p-8))/p+22/p+(10*p)/p = 0

3*p*(2/3*p-8)+10*p+22 = 0

2*p^2-24*p+10*p+22 = 0

2*p^2-14*p+22 = 0

2*p^2-14*p+22 = 0

2*(p^2-7*p+11) = 0

p^2-7*p+11 = 0

DELTA = (-7)^2-(1*4*11)

DELTA = 5

DELTA > 0

p = (5^(1/2)+7)/(1*2) or p = (7-5^(1/2))/(1*2)

p = (5^(1/2)+7)/2 or p = (7-5^(1/2))/2

2*(p-((7-5^(1/2))/2))*(p-((5^(1/2)+7)/2)) = 0

(2*(p-((7-5^(1/2))/2))*(p-((5^(1/2)+7)/2)))/p = 0

(2*(p-((7-5^(1/2))/2))*(p-((5^(1/2)+7)/2)))/p = 0 // * p

2*(p-((7-5^(1/2))/2))*(p-((5^(1/2)+7)/2)) = 0

( p-((5^(1/2)+7)/2) )

p-((5^(1/2)+7)/2) = 0 // + (5^(1/2)+7)/2

p = (5^(1/2)+7)/2

( p-((7-5^(1/2))/2) )

p-((7-5^(1/2))/2) = 0 // + (7-5^(1/2))/2

p = (7-5^(1/2))/2

p in { (5^(1/2)+7)/2, (7-5^(1/2))/2 }

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