3/x=5x-2

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


D( x )

x = 0

x = 0

x = 0

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

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

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

3/x-5*x+2 = 0

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

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

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

x^1

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

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

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

DELTA = 64

DELTA > 0

x = (64^(1/2)-2)/(-5*2) or x = (-64^(1/2)-2)/(-5*2)

x = -3/5 or x = 1

x in { -3/5, 1} 

x in { -3/5, 1 }

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