x+(6/x)=7

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Solution for x+(6/x)=7 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+6/x = 7 // - 7

x+6/x-7 = 0

1*x^1+6*x^-1-7*x^0 = 0

(1*x^2-7*x^1+6*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-7*x^1+6*x^0) = 0

x^1

x^2-7*x+6 = 0

x^2-7*x+6 = 0

DELTA = (-7)^2-(1*4*6)

DELTA = 25

DELTA > 0

x = (25^(1/2)+7)/(1*2) or x = (7-25^(1/2))/(1*2)

x = 6 or x = 1

x in { 1, 6} 

x in { 1, 6 }

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