x/1+1/x=61/30

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Solution for x/1+1/x=61/30 equation: 


D( x )

x = 0

x = 0

x = 0

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

x/1+1/x = 61/30 // - 61/30

x/1+1/x-(61/30) = 0

x+1/x-61/30 = 0

1*x^1+1*x^-1-61/30*x^0 = 0

(1*x^2-61/30*x^1+1*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-61/30*x^1+1*x^0) = 0

x^1

x^2+(-61/30)*x+1 = 0

x^2+(-61/30)*x+1 = 0

DELTA = (-61/30)^2-(1*1*4)

DELTA = 121/900

DELTA > 0

x = ((121/900)^(1/2)-(-61/30))/(1*2) or x = (-(-61/30)-(121/900)^(1/2))/(1*2)

x = 6/5 or x = 5/6

x in { 5/6, 6/5} 

x in { 5/6, 6/5 }

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