x-3/x+4=6/7

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Solution for x-3/x+4=6/7 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(3/x)+4 = 6/7 // - 6/7

x-(3/x)-(6/7)+4 = 0

x-3*x^-1-6/7+4 = 0

1*x^1-3*x^-1+22/7*x^0 = 0

(1*x^2+22/7*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+22/7*x^1-3*x^0) = 0

x^1

x^2+(22/7)*x-3 = 0

x^2+(22/7)*x-3 = 0

DELTA = (22/7)^2-(-3*1*4)

DELTA = 1072/49

DELTA > 0

x = ((1072/49)^(1/2)-(22/7))/(1*2) or x = (-(22/7)-(1072/49)^(1/2))/(1*2)

x = ((1072/49)^(1/2)-22/7)/2 or x = (-((1072/49)^(1/2)+22/7))/2

x in { (-((1072/49)^(1/2)+22/7))/2, ((1072/49)^(1/2)-22/7)/2} 

x in { (-((1072/49)^(1/2)+22/7))/2, ((1072/49)^(1/2)-22/7)/2 }

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