7x-6/x=1

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Solution for 7x-6/x=1 equation: 


D( x )

x = 0

x = 0

x = 0

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

7*x-(6/x) = 1 // - 1

7*x-(6/x)-1 = 0

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

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

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

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

x^1

7*x^2-x-6 = 0

7*x^2-x-6 = 0

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

DELTA = 169

DELTA > 0

x = (169^(1/2)+1)/(2*7) or x = (1-169^(1/2))/(2*7)

x = 1 or x = -6/7

x in { -6/7, 1} 

x in { -6/7, 1 }

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