2/x+4/3=14/3x

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Solution for 2/x+4/3=14/3x equation: 


D( x )

x = 0

x = 0

x = 0

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

2/x+4/3 = (14/3)*x // - (14/3)*x

2/x-((14/3)*x)+4/3 = 0

(-14/3)*x+2/x+4/3 = 0

2*x^-1-14/3*x^1+4/3*x^0 = 0

(4/3*x^1-14/3*x^2+2*x^0)/(x^1) = 0 // * x^2

x^1*(4/3*x^1-14/3*x^2+2*x^0) = 0

x^1

(-14/3)*x^2+(4/3)*x+2 = 0

(-14/3)*x^2+(4/3)*x+2 = 0

DELTA = (4/3)^2-(2*4*(-14/3))

DELTA = 352/9

DELTA > 0

x = ((352/9)^(1/2)-(4/3))/(2*(-14/3)) or x = (-(4/3)-(352/9)^(1/2))/(2*(-14/3))

x = -3/28*((352/9)^(1/2)-4/3) or x = 3/28*((352/9)^(1/2)+4/3)

x in { -3/28*((352/9)^(1/2)-4/3), 3/28*((352/9)^(1/2)+4/3)} 

x in { -3/28*((352/9)^(1/2)-4/3), 3/28*((352/9)^(1/2)+4/3) }

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