2+10/x=x+5

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Solution for 2+10/x=x+5 equation: 


D( x )

x = 0

x = 0

x = 0

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

10/x+2 = x+5 // - x+5

10/x-x-5+2 = 0

10*x^-1-1*x^1-3*x^0 = 0

(10*x^0-1*x^2-3*x^1)/(x^1) = 0 // * x^2

x^1*(10*x^0-1*x^2-3*x^1) = 0

x^1

10-x^2-3*x = 0

10-x^2-3*x = 0

DELTA = (-3)^2-(-1*4*10)

DELTA = 49

DELTA > 0

x = (49^(1/2)+3)/(-1*2) or x = (3-49^(1/2))/(-1*2)

x = -5 or x = 2

x in { -5, 2} 

x in { -5, 2 }

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