(9/7x+7)=(5/x+1)-(2/7)

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Solution for (9/7x+7)=(5/x+1)-(2/7) equation: 


D( x )

x = 0

x = 0

x = 0

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

(9/7)*x+7 = 5/x-(2/7)+1 // - 5/x-(2/7)+1

(9/7)*x-(5/x)+2/7-1+7 = 0

(9/7)*x-5*x^-1+2/7-1+7 = 0

9/7*x^1-5*x^-1+44/7*x^0 = 0

(9/7*x^2+44/7*x^1-5*x^0)/(x^1) = 0 // * x^2

x^1*(9/7*x^2+44/7*x^1-5*x^0) = 0

x^1

(9/7)*x^2+(44/7)*x-5 = 0

(9/7)*x^2+(44/7)*x-5 = 0

DELTA = (44/7)^2-(-5*4*(9/7))

DELTA = 3196/49

DELTA > 0

x = ((3196/49)^(1/2)-(44/7))/(2*(9/7)) or x = (-(44/7)-(3196/49)^(1/2))/(2*(9/7))

x = 7/18*((3196/49)^(1/2)-44/7) or x = -7/18*((3196/49)^(1/2)+44/7)

x in { -7/18*((3196/49)^(1/2)+44/7), 7/18*((3196/49)^(1/2)-44/7)} 

x in { -7/18*((3196/49)^(1/2)+44/7), 7/18*((3196/49)^(1/2)-44/7) }

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