8+10/x=x+5

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Solution for 8+10/x=x+5 equation: 


D( x )

x = 0

x = 0

x = 0

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

10/x+8 = x+5 // - x+5

10/x-x-5+8 = 0

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

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

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

x^1

3*x-x^2+10 = 0

3*x-x^2+10 = 0

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

DELTA = 49

DELTA > 0

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

x = -2 or x = 5

x in { -2, 5} 

x in { -2, 5 }

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