r-6/r-4

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Solution for r-6/r-4 equation: 


D( r )

r = 0

r = 0

r = 0

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

r-(6/r)-4 = 0

r-6*r^-1-4 = 0

1*r^1-6*r^-1-4*r^0 = 0

(1*r^2-4*r^1-6*r^0)/(r^1) = 0 // * r^2

r^1*(1*r^2-4*r^1-6*r^0) = 0

r^1

r^2-4*r-6 = 0

r^2-4*r-6 = 0

DELTA = (-4)^2-(-6*1*4)

DELTA = 40

DELTA > 0

r = (40^(1/2)+4)/(1*2) or r = (4-40^(1/2))/(1*2)

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

r in { (4-2*10^(1/2))/2, (2*10^(1/2)+4)/2} 

r in { (4-2*10^(1/2))/2, (2*10^(1/2)+4)/2 }

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