6/x=7-x+3

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Solution for 6/x=7-x+3 equation: 


D( x )

x = 0

x = 0

x = 0

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

6/x = 3-x+7 // - 3-x+7

x+6/x-7-3 = 0

1*x^1+6*x^-1-10*x^0 = 0

(1*x^2-10*x^1+6*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-10*x^1+6*x^0) = 0

x^1

x^2-10*x+6 = 0

x^2-10*x+6 = 0

DELTA = (-10)^2-(1*4*6)

DELTA = 76

DELTA > 0

x = (76^(1/2)+10)/(1*2) or x = (10-76^(1/2))/(1*2)

x = (2*19^(1/2)+10)/2 or x = (10-2*19^(1/2))/2

x in { (10-2*19^(1/2))/2, (2*19^(1/2)+10)/2} 

x in { (10-2*19^(1/2))/2, (2*19^(1/2)+10)/2 }

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