7/5x+10=5/x+2-6/5

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Solution for 7/5x+10=5/x+2-6/5 equation:


D( x )

x = 0

x = 0

x = 0

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

(7/5)*x+10 = 5/x-(6/5)+2 // - 5/x-(6/5)+2

(7/5)*x-(5/x)+6/5-2+10 = 0

(7/5)*x-5*x^-1+6/5-2+10 = 0

7/5*x^1-5*x^-1+46/5*x^0 = 0

(7/5*x^2+46/5*x^1-5*x^0)/(x^1) = 0 // * x^2

x^1*(7/5*x^2+46/5*x^1-5*x^0) = 0

x^1

(7/5)*x^2+(46/5)*x-5 = 0

(7/5)*x^2+(46/5)*x-5 = 0

DELTA = (46/5)^2-(-5*4*(7/5))

DELTA = 2816/25

DELTA > 0

x = ((2816/25)^(1/2)-(46/5))/(2*(7/5)) or x = (-(46/5)-(2816/25)^(1/2))/(2*(7/5))

x = 5/14*((2816/25)^(1/2)-46/5) or x = -5/14*((2816/25)^(1/2)+46/5)

x in { -5/14*((2816/25)^(1/2)+46/5), 5/14*((2816/25)^(1/2)-46/5)}

x in { -5/14*((2816/25)^(1/2)+46/5), 5/14*((2816/25)^(1/2)-46/5) }

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