4/x-3=x

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Solution for 4/x-3=x equation: 


D( x )

x = 0

x = 0

x = 0

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

4/x-3 = x // - x

4/x-x-3 = 0

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

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

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

x^1

4-x^2-3*x = 0

4-x^2-3*x = 0

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

DELTA = 25

DELTA > 0

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

x = -4 or x = 1

x in { -4, 1} 

x in { -4, 1 }

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