r+5/r-5+2r-1/r-5

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Solution for r+5/r-5+2r-1/r-5 equation: 


D( r )

r = 0

r = 0

r = 0

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

r+2*r+5/r-(1/r)-5-5 = 0

r+2*r+5/r-r^-1-5-5 = 0

3*r^1+4*r^-1-10*r^0 = 0

(3*r^2-10*r^1+4*r^0)/(r^1) = 0 // * r^2

r^1*(3*r^2-10*r^1+4*r^0) = 0

r^1

3*r^2-10*r+4 = 0

3*r^2-10*r+4 = 0

DELTA = (-10)^2-(3*4*4)

DELTA = 52

DELTA > 0

r = (52^(1/2)+10)/(2*3) or r = (10-52^(1/2))/(2*3)

r = (2*13^(1/2)+10)/6 or r = (10-2*13^(1/2))/6

r in { (10-2*13^(1/2))/6, (2*13^(1/2)+10)/6} 

r in { (10-2*13^(1/2))/6, (2*13^(1/2)+10)/6 }

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