9/7x+28=(9/x+4)-(2/7)

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Solution for 9/7x+28=(9/x+4)-(2/7) equation: 


D( x )

x = 0

x = 0

x = 0

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

(9/7)*x+28 = 9/x-(2/7)+4 // - 9/x-(2/7)+4

(9/7)*x-(9/x)+2/7-4+28 = 0

(9/7)*x-9*x^-1+2/7-4+28 = 0

9/7*x^1-9*x^-1+170/7*x^0 = 0

(9/7*x^2+170/7*x^1-9*x^0)/(x^1) = 0 // * x^2

x^1*(9/7*x^2+170/7*x^1-9*x^0) = 0

x^1

(9/7)*x^2+(170/7)*x-9 = 0

(9/7)*x^2+(170/7)*x-9 = 0

DELTA = (170/7)^2-(-9*4*(9/7))

DELTA = 31168/49

DELTA > 0

x = ((31168/49)^(1/2)-(170/7))/(2*(9/7)) or x = (-(170/7)-(31168/49)^(1/2))/(2*(9/7))

x = 7/18*((31168/49)^(1/2)-170/7) or x = -7/18*((31168/49)^(1/2)+170/7)

x in { -7/18*((31168/49)^(1/2)+170/7), 7/18*((31168/49)^(1/2)-170/7)} 

x in { -7/18*((31168/49)^(1/2)+170/7), 7/18*((31168/49)^(1/2)-170/7) }

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