3/x-2+5x=10/x

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Solution for 3/x-2+5x=10/x equation: 


D( x )

x = 0

x = 0

x = 0

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

5*x+3/x-2 = 10/x // - 10/x

5*x+3/x-(10/x)-2 = 0

5*x+3/x-10*x^-1-2 = 0

5*x^1-7*x^-1-2*x^0 = 0

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

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

x^1

5*x^2-2*x-7 = 0

5*x^2-2*x-7 = 0

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

DELTA = 144

DELTA > 0

x = (144^(1/2)+2)/(2*5) or x = (2-144^(1/2))/(2*5)

x = 7/5 or x = -1

x in { -1, 7/5} 

x in { -1, 7/5 }

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