4x-3/x=-11

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


D( x )

x = 0

x = 0

x = 0

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

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

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

x = 1/4 or x = -3

x in { -3, 1/4} 

x in { -3, 1/4 }

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