4x-3/2x+1=2x-1/x+5

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Solution for 4x-3/2x+1=2x-1/x+5 equation:


D( x )

x = 0

x = 0

x = 0

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

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

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

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

1/2*x^1+1*x^-1-4*x^0 = 0

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

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

x^1

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

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

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

DELTA = 14

DELTA > 0

x = (14^(1/2)+4)/(2*(1/2)) or x = (4-14^(1/2))/(2*(1/2))

x = 14^(1/2)+4 or x = 4-14^(1/2)

x in { 4-14^(1/2), 14^(1/2)+4}

x in { 4-14^(1/2), 14^(1/2)+4 }

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