3x/x-7-x+7/x=0

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Solution for 3x/x-7-x+7/x=0 equation: 


D( x )

x = 0

x = 0

x = 0

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

7/x-x+(3*x)/x-7 = 0

7*x^-1-1*x^1-4*x^0 = 0

(7*x^0-1*x^2-4*x^1)/(x^1) = 0 // * x^2

x^1*(7*x^0-1*x^2-4*x^1) = 0

x^1

7-x^2-4*x = 0

7-x^2-4*x = 0

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

DELTA = 44

DELTA > 0

x = (44^(1/2)+4)/(-1*2) or x = (4-44^(1/2))/(-1*2)

x = (2*11^(1/2)+4)/(-2) or x = (4-2*11^(1/2))/(-2)

x in { (2*11^(1/2)+4)/(-2), (4-2*11^(1/2))/(-2)} 

x in { (2*11^(1/2)+4)/(-2), (4-2*11^(1/2))/(-2) }

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