4/x-2+5/2-x

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Solution for 4/x-2+5/2-x equation:


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

x^1

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

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

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

DELTA = 65/4

DELTA > 0

x = ((65/4)^(1/2)-(1/2))/(-1*2) or x = (-(1/2)-(65/4)^(1/2))/(-1*2)

x = ((65/4)^(1/2)-1/2)/(-2) or x = ((65/4)^(1/2)+1/2)/2

x in { ((65/4)^(1/2)-1/2)/(-2), ((65/4)^(1/2)+1/2)/2}

x in { ((65/4)^(1/2)-1/2)/(-2), ((65/4)^(1/2)+1/2)/2 }

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