x+1/7=5/x-1

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Solution for x+1/7=5/x-1 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+1/7 = 5/x-1 // - 5/x-1

x-(5/x)+1/7+1 = 0

x-5*x^-1+1/7+1 = 0

1*x^1-5*x^-1+8/7*x^0 = 0

(1*x^2+8/7*x^1-5*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+8/7*x^1-5*x^0) = 0

x^1

x^2+(8/7)*x-5 = 0

x^2+(8/7)*x-5 = 0

DELTA = (8/7)^2-(-5*1*4)

DELTA = 1044/49

DELTA > 0

x = ((1044/49)^(1/2)-(8/7))/(1*2) or x = (-(8/7)-(1044/49)^(1/2))/(1*2)

x = ((1044/49)^(1/2)-8/7)/2 or x = (-((1044/49)^(1/2)+8/7))/2

x in { (-((1044/49)^(1/2)+8/7))/2, ((1044/49)^(1/2)-8/7)/2} 

x in { (-((1044/49)^(1/2)+8/7))/2, ((1044/49)^(1/2)-8/7)/2 }

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