4/x=10/2x-1

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Solution for 4/x=10/2x-1 equation: 


D( x )

x = 0

x = 0

x = 0

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

4/x = (10/2)*x-1 // - (10/2)*x-1

4/x-((10/2)*x)+1 = 0

4/x-5*x+1 = 0

4*x^-1-5*x^1+1*x^0 = 0

(1*x^1-5*x^2+4*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^1-5*x^2+4*x^0) = 0

x^1

x-5*x^2+4 = 0

x-5*x^2+4 = 0

DELTA = 1^2-(-5*4*4)

DELTA = 81

DELTA > 0

x = (81^(1/2)-1)/(-5*2) or x = (-81^(1/2)-1)/(-5*2)

x = -4/5 or x = 1

x in { -4/5, 1} 

x in { -4/5, 1 }

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