4/x=3/2+x

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Solution for 4/x=3/2+x equation: 


D( x )

x = 0

x = 0

x = 0

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

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

4/x-x-(3/2) = 0

4/x-x-3/2 = 0

4*x^-1-1*x^1-3/2*x^0 = 0

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

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

x^1

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

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

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

DELTA = 73/4

DELTA > 0

x = ((73/4)^(1/2)-(-3/2))/(-1*2) or x = (-(-3/2)-(73/4)^(1/2))/(-1*2)

x = ((73/4)^(1/2)+3/2)/(-2) or x = (3/2-(73/4)^(1/2))/(-2)

x in { ((73/4)^(1/2)+3/2)/(-2), (3/2-(73/4)^(1/2))/(-2)} 

x in { ((73/4)^(1/2)+3/2)/(-2), (3/2-(73/4)^(1/2))/(-2) }

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