36x-65=36/x

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Solution for 36x-65=36/x equation: 


D( x )

x = 0

x = 0

x = 0

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

36*x-65 = 36/x // - 36/x

36*x-(36/x)-65 = 0

36*x-36*x^-1-65 = 0

36*x^1-36*x^-1-65*x^0 = 0

(36*x^2-65*x^1-36*x^0)/(x^1) = 0 // * x^2

x^1*(36*x^2-65*x^1-36*x^0) = 0

x^1

36*x^2-65*x-36 = 0

36*x^2-65*x-36 = 0

DELTA = (-65)^2-(-36*4*36)

DELTA = 9409

DELTA > 0

x = (9409^(1/2)+65)/(2*36) or x = (65-9409^(1/2))/(2*36)

x = 9/4 or x = -4/9

x in { -4/9, 9/4} 

x in { -4/9, 9/4 }

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