5=4x-3/x-1

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Solution for 5=4x-3/x-1 equation:


D( x )

x = 0

x = 0

x = 0

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

5 = 4*x-(3/x)-1 // - 4*x-(3/x)-1

3/x-(4*x)+1+5 = 0

3/x-4*x+1+5 = 0

3*x^-1-4*x^1+6*x^0 = 0

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

x^1*(6*x^1-4*x^2+3*x^0) = 0

x^1

6*x-4*x^2+3 = 0

6*x-4*x^2+3 = 0

DELTA = 6^2-(-4*3*4)

DELTA = 84

DELTA > 0

x = (84^(1/2)-6)/(-4*2) or x = (-84^(1/2)-6)/(-4*2)

x = (2*21^(1/2)-6)/(-8) or x = (-2*21^(1/2)-6)/(-8)

x in { (2*21^(1/2)-6)/(-8), (-2*21^(1/2)-6)/(-8)}

x in { (2*21^(1/2)-6)/(-8), (-2*21^(1/2)-6)/(-8) }

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