3/x+3/x-4=3x-9/x-4

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Solution for 3/x+3/x-4=3x-9/x-4 equation: 


D( x )

x = 0

x = 0

x = 0

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

3/x+3/x-4 = 3*x-(9/x)-4 // - 3*x-(9/x)-4

3/x-(3*x)+3/x+9/x-4+4 = 0

3/x-3*x+3/x+9/x-4+4 = 0

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

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

x^1*(15*x^0-3*x^2) = 0

x^1

15-3*x^2 = 0

15-3*x^2 = 0

DELTA = 0^2-(-3*4*15)

DELTA = 180

DELTA > 0

x = (180^(1/2)+0)/(-3*2) or x = (0-180^(1/2))/(-3*2)

x = -5^(1/2) or x = 5^(1/2)

x in { -5^(1/2), 5^(1/2)} 

x in { -5^(1/2), 5^(1/2) }

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