4/x+5=4+x/2

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1

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

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

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

DELTA = 9

DELTA > 0

x = (9^(1/2)-1)/(2*(-1/2)) or x = (-9^(1/2)-1)/(2*(-1/2))

x = -2 or x = 4

x in { -2, 4} 

x in { -2, 4 }

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