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

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Solution for (2/x)-(1/4)=(3/5x) equation:


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 389/80

DELTA > 0

x = ((389/80)^(1/2)-(-1/4))/(2*(-3/5)) or x = (-(-1/4)-(389/80)^(1/2))/(2*(-3/5))

x = -5/6*((389/80)^(1/2)+1/4) or x = -5/6*(1/4-(389/80)^(1/2))

x in { -5/6*((389/80)^(1/2)+1/4), -5/6*(1/4-(389/80)^(1/2))}

x in { -5/6*((389/80)^(1/2)+1/4), -5/6*(1/4-(389/80)^(1/2)) }

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