(9/7x+14)=(3/x+2)-(2/7)

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Solution for (9/7x+14)=(3/x+2)-(2/7) equation: 


D( x )

x = 0

x = 0

x = 0

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

(9/7)*x+14 = 3/x-(2/7)+2 // - 3/x-(2/7)+2

(9/7)*x-(3/x)+2/7-2+14 = 0

(9/7)*x-3*x^-1+2/7-2+14 = 0

9/7*x^1-3*x^-1+86/7*x^0 = 0

(9/7*x^2+86/7*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(9/7*x^2+86/7*x^1-3*x^0) = 0

x^1

(9/7)*x^2+(86/7)*x-3 = 0

(9/7)*x^2+(86/7)*x-3 = 0

DELTA = (86/7)^2-(-3*4*(9/7))

DELTA = 8152/49

DELTA > 0

x = ((8152/49)^(1/2)-(86/7))/(2*(9/7)) or x = (-(86/7)-(8152/49)^(1/2))/(2*(9/7))

x = 7/18*((8152/49)^(1/2)-86/7) or x = -7/18*((8152/49)^(1/2)+86/7)

x in { -7/18*((8152/49)^(1/2)+86/7), 7/18*((8152/49)^(1/2)-86/7)} 

x in { -7/18*((8152/49)^(1/2)+86/7), 7/18*((8152/49)^(1/2)-86/7) }

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