77/(r-9)+77/(r+9)=18

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Solution for 77/(r-9)+77/(r+9)=18 equation: 


D( r )

r-9 = 0

r+9 = 0

r-9 = 0

r-9 = 0

r-9 = 0 // + 9

r = 9

r+9 = 0

r+9 = 0

r+9 = 0 // - 9

r = -9

r in (-oo:-9) U (-9:9) U (9:+oo)

77/(r-9)+77/(r+9) = 18 // - 18

77/(r-9)+77/(r+9)-18 = 0

(77*(r+9))/((r-9)*(r+9))+(77*(r-9))/((r-9)*(r+9))+(-18*(r-9)*(r+9))/((r-9)*(r+9)) = 0

77*(r+9)+77*(r-9)-18*(r-9)*(r+9) = 0

154*r-18*r^2+1458 = 0

154*r-18*r^2+1458 = 0

2*(77*r-9*r^2+729) = 0

77*r-9*r^2+729 = 0

DELTA = 77^2-(-9*4*729)

DELTA = 32173

DELTA > 0

r = (32173^(1/2)-77)/(-9*2) or r = (-32173^(1/2)-77)/(-9*2)

r = (32173^(1/2)-77)/(-18) or r = (32173^(1/2)+77)/18

2*(r-((32173^(1/2)-77)/(-18)))*(r-((32173^(1/2)+77)/18)) = 0

(2*(r-((32173^(1/2)-77)/(-18)))*(r-((32173^(1/2)+77)/18)))/((r-9)*(r+9)) = 0

(2*(r-((32173^(1/2)-77)/(-18)))*(r-((32173^(1/2)+77)/18)))/((r-9)*(r+9)) = 0 // * (r-9)*(r+9)

2*(r-((32173^(1/2)-77)/(-18)))*(r-((32173^(1/2)+77)/18)) = 0

( r-((32173^(1/2)+77)/18) )

r-((32173^(1/2)+77)/18) = 0 // + (32173^(1/2)+77)/18

r = (32173^(1/2)+77)/18

( r-((32173^(1/2)-77)/(-18)) )

r-((32173^(1/2)-77)/(-18)) = 0 // + (32173^(1/2)-77)/(-18)

r = (32173^(1/2)-77)/(-18)

r in { (32173^(1/2)+77)/18, (32173^(1/2)-77)/(-18) }

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