(3/x+2)=(x-8/13)

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Solution for (3/x+2)=(x-8/13) equation:


D( x )

x = 0

x = 0

x = 0

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

3/x+2 = x-(8/13) // - x-(8/13)

3/x-x+8/13+2 = 0

3*x^-1-1*x^1+34/13*x^0 = 0

(34/13*x^1-1*x^2+3*x^0)/(x^1) = 0 // * x^2

x^1*(34/13*x^1-1*x^2+3*x^0) = 0

x^1

(34/13)*x-x^2+3 = 0

(34/13)*x-x^2+3 = 0

DELTA = (34/13)^2-(-1*3*4)

DELTA = 3184/169

DELTA > 0

x = ((3184/169)^(1/2)-(34/13))/(-1*2) or x = (-(34/13)-(3184/169)^(1/2))/(-1*2)

x = ((3184/169)^(1/2)-34/13)/(-2) or x = ((3184/169)^(1/2)+34/13)/2

x in { ((3184/169)^(1/2)-34/13)/(-2), ((3184/169)^(1/2)+34/13)/2}

x in { ((3184/169)^(1/2)-34/13)/(-2), ((3184/169)^(1/2)+34/13)/2 }

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