4x-11=3/x

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Solution for 4x-11=3/x equation: 


D( x )

x = 0

x = 0

x = 0

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

4*x-11 = 3/x // - 3/x

4*x-(3/x)-11 = 0

4*x-3*x^-1-11 = 0

4*x^1-3*x^-1-11*x^0 = 0

(4*x^2-11*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^2-11*x^1-3*x^0) = 0

x^1

4*x^2-11*x-3 = 0

4*x^2-11*x-3 = 0

DELTA = (-11)^2-(-3*4*4)

DELTA = 169

DELTA > 0

x = (169^(1/2)+11)/(2*4) or x = (11-169^(1/2))/(2*4)

x = 3 or x = -1/4

x in { -1/4, 3} 

x in { -1/4, 3 }

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