x-4/x=3

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Solution for x-4/x=3 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(4/x) = 3 // - 3

x-(4/x)-3 = 0

x-4*x^-1-3 = 0

1*x^1-4*x^-1-3*x^0 = 0

(1*x^2-3*x^1-4*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-3*x^1-4*x^0) = 0

x^1

x^2-3*x-4 = 0

x^2-3*x-4 = 0

DELTA = (-3)^2-(-4*1*4)

DELTA = 25

DELTA > 0

x = (25^(1/2)+3)/(1*2) or x = (3-25^(1/2))/(1*2)

x = 4 or x = -1

x in { -1, 4} 

x in { -1, 4 }

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