(1/7r)+(r+1/7r)=(1/r)

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Solution for (1/7r)+(r+1/7r)=(1/r) equation:


D( r )

r = 0

r = 0

r = 0

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

(1/7)*r+r+(1/7)*r = 1/r // - 1/r

(1/7)*r+r+(1/7)*r-(1/r) = 0

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

9/7*r^1-1*r^-1 = 0

(9/7*r^2-1*r^0)/(r^1) = 0 // * r^2

r^1*(9/7*r^2-1*r^0) = 0

r^1

(9/7)*r^2-1 = 0

(9/7)*r^2-1 = 0

DELTA = 0^2-(-1*4*(9/7))

DELTA = 36/7

DELTA > 0

r = ((36/7)^(1/2)+0)/(2*(9/7)) or r = (0-(36/7)^(1/2))/(2*(9/7))

r = 7/18*(36/7)^(1/2) or r = 7/18*(36/7)^(1/2)

r in { 7/18*(36/7)^(1/2), 7/18*(36/7)^(1/2)}

r in { 7/18*(36/7)^(1/2), 7/18*(36/7)^(1/2) }

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