2/x=5/4x+3

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Solution for 2/x=5/4x+3 equation:


D( x )

x = 0

x = 0

x = 0

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

2/x = (5/4)*x+3 // - (5/4)*x+3

2/x-((5/4)*x)-3 = 0

(-5/4)*x+2/x-3 = 0

2*x^-1-5/4*x^1-3*x^0 = 0

(2*x^0-5/4*x^2-3*x^1)/(x^1) = 0 // * x^2

x^1*(2*x^0-5/4*x^2-3*x^1) = 0

x^1

(-5/4)*x^2-3*x+2 = 0

(-5/4)*x^2-3*x+2 = 0

DELTA = (-3)^2-(2*4*(-5/4))

DELTA = 19

DELTA > 0

x = (19^(1/2)+3)/(2*(-5/4)) or x = (3-19^(1/2))/(2*(-5/4))

x = -2/5*(19^(1/2)+3) or x = -2/5*(3-19^(1/2))

x in { -2/5*(19^(1/2)+3), -2/5*(3-19^(1/2))}

x in { -2/5*(19^(1/2)+3), -2/5*(3-19^(1/2)) }

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