4x+1=(3/x)

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

4*x^2+x-3 = 0

4*x^2+x-3 = 0

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

DELTA = 49

DELTA > 0

x = (49^(1/2)-1)/(2*4) or x = (-49^(1/2)-1)/(2*4)

x = 3/4 or x = -1

x in { -1, 3/4} 

x in { -1, 3/4 }

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