(56/x-2)=x-3

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Solution for (56/x-2)=x-3 equation: 


D( x )

x = 0

x = 0

x = 0

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

56/x-2 = x-3 // - x-3

56/x-x-2+3 = 0

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

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

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

x^1

x-x^2+56 = 0

x-x^2+56 = 0

DELTA = 1^2-(-1*4*56)

DELTA = 225

DELTA > 0

x = (225^(1/2)-1)/(-1*2) or x = (-225^(1/2)-1)/(-1*2)

x = -7 or x = 8

x in { -7, 8} 

x in { -7, 8 }

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