5/x+3/2x=4/3+5/2x

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 196/9

DELTA > 0

x = ((196/9)^(1/2)-(-4/3))/(-1*2) or x = (-(-4/3)-(196/9)^(1/2))/(-1*2)

x = -3 or x = 5/3

x in { -3, 5/3}

x in { -3, 5/3 }

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