x/x+4=x-9/x+1

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Solution for x/x+4=x-9/x+1 equation: 


D( x )

x = 0

x = 0

x = 0

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

x/x+4 = x-(9/x)+1 // - x-(9/x)+1

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

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

(4*x^1-1*x^2+9*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^1-1*x^2+9*x^0) = 0

x^1

4*x-x^2+9 = 0

4*x-x^2+9 = 0

DELTA = 4^2-(-1*4*9)

DELTA = 52

DELTA > 0

x = (52^(1/2)-4)/(-1*2) or x = (-52^(1/2)-4)/(-1*2)

x = (2*13^(1/2)-4)/(-2) or x = (-2*13^(1/2)-4)/(-2)

x in { (2*13^(1/2)-4)/(-2), (-2*13^(1/2)-4)/(-2)} 

x in { (2*13^(1/2)-4)/(-2), (-2*13^(1/2)-4)/(-2) }

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