4/x+2=16/5+x

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Solution for 4/x+2=16/5+x equation: 


D( x )

x = 0

x = 0

x = 0

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

4/x+2 = x+16/5 // - x+16/5

4/x-x-(16/5)+2 = 0

4/x-x-16/5+2 = 0

4*x^-1-1*x^1-6/5*x^0 = 0

(4*x^0-1*x^2-6/5*x^1)/(x^1) = 0 // * x^2

x^1*(4*x^0-1*x^2-6/5*x^1) = 0

x^1

(-6/5)*x-x^2+4 = 0

(-6/5)*x-x^2+4 = 0

DELTA = (-6/5)^2-(-1*4*4)

DELTA = 436/25

DELTA > 0

x = ((436/25)^(1/2)-(-6/5))/(-1*2) or x = (-(-6/5)-(436/25)^(1/2))/(-1*2)

x = ((436/25)^(1/2)+6/5)/(-2) or x = (6/5-(436/25)^(1/2))/(-2)

x in { ((436/25)^(1/2)+6/5)/(-2), (6/5-(436/25)^(1/2))/(-2)} 

x in { ((436/25)^(1/2)+6/5)/(-2), (6/5-(436/25)^(1/2))/(-2) }

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