1/x=2x-3

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Solution for 1/x=2x-3 equation: 


D( x )

x = 0

x = 0

x = 0

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

1/x = 2*x-3 // - 2*x-3

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

1/x-2*x+3 = 0

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

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

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

x^1

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

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

DELTA = 3^2-(-2*1*4)

DELTA = 17

DELTA > 0

x = (17^(1/2)-3)/(-2*2) or x = (-17^(1/2)-3)/(-2*2)

x = (17^(1/2)-3)/(-4) or x = (17^(1/2)+3)/4

x in { (17^(1/2)-3)/(-4), (17^(1/2)+3)/4} 

x in { (17^(1/2)-3)/(-4), (17^(1/2)+3)/4 }

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