2x-6=5/(4x)

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Solution for 2x-6=5/(4x) equation:


D( x )

4*x = 0

4*x = 0

4*x = 0

4*x = 0 // : 4

x = 0

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

2*x-6 = 5/(4*x) // - 5/(4*x)

2*x-(5/(4*x))-6 = 0

2*x+(-5/4)*x^-1-6 = 0

2*x^1-5/4*x^-1-6*x^0 = 0

(2*x^2-6*x^1-5/4*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-6*x^1-5/4*x^0) = 0

x^1

2*x^2-6*x-5/4 = 0

2*x^2-6*x-5/4 = 0

DELTA = (-6)^2-(2*4*(-5/4))

DELTA = 46

DELTA > 0

x = (46^(1/2)+6)/(2*2) or x = (6-46^(1/2))/(2*2)

x = (46^(1/2)+6)/4 or x = (6-46^(1/2))/4

x in { (6-46^(1/2))/4, (46^(1/2)+6)/4}

x in { (6-46^(1/2))/4, (46^(1/2)+6)/4 }

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