8/9=r-17/r

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Solution for 8/9=r-17/r equation:


D( r )

r = 0

r = 0

r = 0

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

8/9 = r-(17/r) // - r-(17/r)

17/r-r+8/9 = 0

17*r^-1-1*r^1+8/9*r^0 = 0

(8/9*r^1-1*r^2+17*r^0)/(r^1) = 0 // * r^2

r^1*(8/9*r^1-1*r^2+17*r^0) = 0

r^1

(8/9)*r-r^2+17 = 0

(8/9)*r-r^2+17 = 0

DELTA = (8/9)^2-(-1*4*17)

DELTA = 5572/81

DELTA > 0

r = ((5572/81)^(1/2)-(8/9))/(-1*2) or r = (-(8/9)-(5572/81)^(1/2))/(-1*2)

r = ((5572/81)^(1/2)-8/9)/(-2) or r = ((5572/81)^(1/2)+8/9)/2

r in { ((5572/81)^(1/2)-8/9)/(-2), ((5572/81)^(1/2)+8/9)/2}

r in { ((5572/81)^(1/2)-8/9)/(-2), ((5572/81)^(1/2)+8/9)/2 }

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