4/x+1=x-2/1

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Solution for 4/x+1=x-2/1 equation: 


D( x )

x = 0

x = 0

x = 0

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

4/x+1 = x-(2/1) // - x-(2/1)

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

4/x-x+1+2 = 0

4*x^-1-1*x^1+3*x^0 = 0

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

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

x^1

3*x-x^2+4 = 0

3*x-x^2+4 = 0

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

DELTA = 25

DELTA > 0

x = (25^(1/2)-3)/(-1*2) or x = (-25^(1/2)-3)/(-1*2)

x = -1 or x = 4

x in { -1, 4} 

x in { -1, 4 }

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