3/x+1=5/2x

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

DELTA = 1^2-(3*4*(-5/2))

DELTA = 31

DELTA > 0

x = (31^(1/2)-1)/(2*(-5/2)) or x = (-31^(1/2)-1)/(2*(-5/2))

x = (31^(1/2)-1)/(-5) or x = (31^(1/2)+1)/5

x in { (31^(1/2)-1)/(-5), (31^(1/2)+1)/5}

x in { (31^(1/2)-1)/(-5), (31^(1/2)+1)/5 }

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