r-6/r=1

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Solution for r-6/r=1 equation: 


D( r )

r = 0

r = 0

r = 0

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

r-(6/r) = 1 // - 1

r-(6/r)-1 = 0

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

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

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

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

r^1

r^2-r-6 = 0

r^2-r-6 = 0

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

DELTA = 25

DELTA > 0

r = (25^(1/2)+1)/(1*2) or r = (1-25^(1/2))/(1*2)

r = 3 or r = -2

r in { -2, 3} 

r in { -2, 3 }

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