3/x+1=x/4

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Solution for 3/x+1=x/4 equation: 


D( x )

x = 0

x = 0

x = 0

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

3/x+1 = x/4 // - x/4

3/x-(x/4)+1 = 0

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

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

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

x^1

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

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

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

DELTA = 4

DELTA > 0

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

x = -2 or x = 6

x in { -2, 6} 

x in { -2, 6 }

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