r+6/r=7

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Solution for r+6/r=7 equation: 


D( r )

r = 0

r = 0

r = 0

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

r+6/r = 7 // - 7

r+6/r-7 = 0

1*r^1+6*r^-1-7*r^0 = 0

(1*r^2-7*r^1+6*r^0)/(r^1) = 0 // * r^2

r^1*(1*r^2-7*r^1+6*r^0) = 0

r^1

r^2-7*r+6 = 0

r^2-7*r+6 = 0

DELTA = (-7)^2-(1*4*6)

DELTA = 25

DELTA > 0

r = (25^(1/2)+7)/(1*2) or r = (7-25^(1/2))/(1*2)

r = 6 or r = 1

r in { 1, 6} 

r in { 1, 6 }

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