6x-5/x-7

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Solution for 6x-5/x-7 equation: 


D( x )

x = 0

x = 0

x = 0

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

6*x-(5/x)-7 = 0

6*x-5*x^-1-7 = 0

6*x^1-5*x^-1-7*x^0 = 0

(6*x^2-7*x^1-5*x^0)/(x^1) = 0 // * x^2

x^1*(6*x^2-7*x^1-5*x^0) = 0

x^1

6*x^2-7*x-5 = 0

6*x^2-7*x-5 = 0

DELTA = (-7)^2-(-5*4*6)

DELTA = 169

DELTA > 0

x = (169^(1/2)+7)/(2*6) or x = (7-169^(1/2))/(2*6)

x = 5/3 or x = -1/2

x in { -1/2, 5/3} 

x in { -1/2, 5/3 }

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