x-6=7/x

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Solution for x-6=7/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x-6 = 7/x // - 7/x

x-(7/x)-6 = 0

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

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

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

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

x^1

x^2-6*x-7 = 0

x^2-6*x-7 = 0

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

DELTA = 64

DELTA > 0

x = (64^(1/2)+6)/(1*2) or x = (6-64^(1/2))/(1*2)

x = 7 or x = -1

x in { -1, 7} 

x in { -1, 7 }

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