5/x-6+7/6-x=2

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Solution for 5/x-6+7/6-x=2 equation: 


D( x )

x = 0

x = 0

x = 0

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

5/x-x+7/6-6 = 2 // - 2

5/x-x+7/6-6-2 = 0

5*x^-1-1*x^1-41/6*x^0 = 0

(5*x^0-1*x^2-41/6*x^1)/(x^1) = 0 // * x^2

x^1*(5*x^0-1*x^2-41/6*x^1) = 0

x^1

(-41/6)*x-x^2+5 = 0

(-41/6)*x-x^2+5 = 0

DELTA = (-41/6)^2-(-1*4*5)

DELTA = 2401/36

DELTA > 0

x = ((2401/36)^(1/2)-(-41/6))/(-1*2) or x = (-(-41/6)-(2401/36)^(1/2))/(-1*2)

x = -15/2 or x = 2/3

x in { -15/2, 2/3} 

x in { -15/2, 2/3 }

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