(20/X)-(X/15)=20/15

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Solution for (20/X)-(X/15)=20/15 equation: 


D( X )

X = 0

X = 0

X = 0

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

20/X-(X/15) = 20/15 // - 20/15

20/X-(X/15)-(20/15) = 0

20/X-(X/15)-4/3 = 0

20*X^-1-1/15*X^1-4/3*X^0 = 0

(20*X^0-1/15*X^2-4/3*X^1)/(X^1) = 0 // * X^2

X^1*(20*X^0-1/15*X^2-4/3*X^1) = 0

X^1

(-1/15)*X^2+(-4/3)*X+20 = 0

(-1/15)*X^2+(-4/3)*X+20 = 0

DELTA = (-4/3)^2-(4*20*(-1/15))

DELTA = 64/9

DELTA > 0

X = ((64/9)^(1/2)-(-4/3))/(2*(-1/15)) or X = (-(-4/3)-(64/9)^(1/2))/(2*(-1/15))

X = -30 or X = 10

X in { -30, 10} 

X in { -30, 10 }

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