4r-4/r=8/5

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Solution for 4r-4/r=8/5 equation: 


D( r )

r = 0

r = 0

r = 0

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

4*r-(4/r) = 8/5 // - 8/5

4*r-(4/r)-(8/5) = 0

4*r-4*r^-1-8/5 = 0

4*r^1-4*r^-1-8/5*r^0 = 0

(4*r^2-8/5*r^1-4*r^0)/(r^1) = 0 // * r^2

r^1*(4*r^2-8/5*r^1-4*r^0) = 0

r^1

4*r^2+(-8/5)*r-4 = 0

4*r^2+(-8/5)*r-4 = 0

DELTA = (-8/5)^2-(-4*4*4)

DELTA = 1664/25

DELTA > 0

r = ((1664/25)^(1/2)-(-8/5))/(2*4) or r = (-(-8/5)-(1664/25)^(1/2))/(2*4)

r = ((1664/25)^(1/2)+8/5)/8 or r = (8/5-(1664/25)^(1/2))/8

r in { (8/5-(1664/25)^(1/2))/8, ((1664/25)^(1/2)+8/5)/8} 

r in { (8/5-(1664/25)^(1/2))/8, ((1664/25)^(1/2)+8/5)/8 }

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