x-6/x=-5

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


D( x )

x = 0

x = 0

x = 0

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

x-(6/x) = -5 // + 5

x-(6/x)+5 = 0

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

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

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

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

x^1

x^2+5*x-6 = 0

x^2+5*x-6 = 0

DELTA = 5^2-(-6*1*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)-5)/(1*2) or x = (-49^(1/2)-5)/(1*2)

x = 1 or x = -6

x in { -6, 1} 

x in { -6, 1 }

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