x-6/x+7=4/7

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

1*x^1-6*x^-1+45/7*x^0 = 0

(1*x^2+45/7*x^1-6*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+45/7*x^1-6*x^0) = 0

x^1

x^2+(45/7)*x-6 = 0

x^2+(45/7)*x-6 = 0

DELTA = (45/7)^2-(-6*1*4)

DELTA = 3201/49

DELTA > 0

x = ((3201/49)^(1/2)-(45/7))/(1*2) or x = (-(45/7)-(3201/49)^(1/2))/(1*2)

x = ((3201/49)^(1/2)-45/7)/2 or x = (-((3201/49)^(1/2)+45/7))/2

x in { (-((3201/49)^(1/2)+45/7))/2, ((3201/49)^(1/2)-45/7)/2} 

x in { (-((3201/49)^(1/2)+45/7))/2, ((3201/49)^(1/2)-45/7)/2 }

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