3/x=x-4

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Solution for 3/x=x-4 equation: 


D( x )

x = 0

x = 0

x = 0

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

3/x = x-4 // - x-4

3/x-x+4 = 0

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

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

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

x^1

4*x-x^2+3 = 0

4*x-x^2+3 = 0

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

DELTA = 28

DELTA > 0

x = (28^(1/2)-4)/(-1*2) or x = (-28^(1/2)-4)/(-1*2)

x = (2*7^(1/2)-4)/(-2) or x = (-2*7^(1/2)-4)/(-2)

x in { (2*7^(1/2)-4)/(-2), (-2*7^(1/2)-4)/(-2)} 

x in { (2*7^(1/2)-4)/(-2), (-2*7^(1/2)-4)/(-2) }

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