3/x=2x-5

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


D( x )

x = 0

x = 0

x = 0

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

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

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

3/x-2*x+5 = 0

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

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

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

x^1

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

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

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

DELTA = 49

DELTA > 0

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

x = -1/2 or x = 3

x in { -1/2, 3} 

x in { -1/2, 3 }

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