x+6/7=8/x+2

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Solution for x+6/7=8/x+2 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+6/7 = 8/x+2 // - 8/x+2

x-(8/x)+6/7-2 = 0

x-8*x^-1+6/7-2 = 0

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

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

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

x^1

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

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

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

DELTA = 1632/49

DELTA > 0

x = ((1632/49)^(1/2)-(-8/7))/(1*2) or x = (-(-8/7)-(1632/49)^(1/2))/(1*2)

x = ((1632/49)^(1/2)+8/7)/2 or x = (8/7-(1632/49)^(1/2))/2

x in { (8/7-(1632/49)^(1/2))/2, ((1632/49)^(1/2)+8/7)/2} 

x in { (8/7-(1632/49)^(1/2))/2, ((1632/49)^(1/2)+8/7)/2 }

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