45x-56=45/x

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Solution for 45x-56=45/x equation: 


D( x )

x = 0

x = 0

x = 0

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

45*x-56 = 45/x // - 45/x

45*x-(45/x)-56 = 0

45*x-45*x^-1-56 = 0

45*x^1-45*x^-1-56*x^0 = 0

(45*x^2-56*x^1-45*x^0)/(x^1) = 0 // * x^2

x^1*(45*x^2-56*x^1-45*x^0) = 0

x^1

45*x^2-56*x-45 = 0

45*x^2-56*x-45 = 0

DELTA = (-56)^2-(-45*4*45)

DELTA = 11236

DELTA > 0

x = (11236^(1/2)+56)/(2*45) or x = (56-11236^(1/2))/(2*45)

x = 9/5 or x = -5/9

x in { -5/9, 9/5} 

x in { -5/9, 9/5 }

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