x/4=3/x-1

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1*(1/4*x^2+1*x^1-3*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 { -6, 2} 

x in { -6, 2 }

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