5x=2(1/x)-3

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Solution for 5x=2(1/x)-3 equation: 


D( x )

x = 0

x = 0

x = 0

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

5*x = 2*(1/x)-3 // - 2*(1/x)-3

5*x-(2*(1/x))+3 = 0

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

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

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

x^1*(5*x^2+3*x^1-2*x^0) = 0

x^1

5*x^2+3*x-2 = 0

5*x^2+3*x-2 = 0

DELTA = 3^2-(-2*4*5)

DELTA = 49

DELTA > 0

x = (49^(1/2)-3)/(2*5) or x = (-49^(1/2)-3)/(2*5)

x = 2/5 or x = -1

x in { -1, 2/5} 

x in { -1, 2/5 }

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