6/x-1-5x/4

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Solution for 6/x-1-5x/4 equation:


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1

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

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

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

DELTA = 31

DELTA > 0

x = (31^(1/2)+1)/(2*(-5/4)) or x = (1-31^(1/2))/(2*(-5/4))

x = -2/5*(31^(1/2)+1) or x = -2/5*(1-31^(1/2))

x in { -2/5*(31^(1/2)+1), -2/5*(1-31^(1/2))}

x in { -2/5*(31^(1/2)+1), -2/5*(1-31^(1/2)) }

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