(12-3x/20x)/(16-x^2/5)

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Solution for (12-3x/20x)/(16-x^2/5) equation:


D( x )

16-((x^2)/5) = 0

16-((x^2)/5) = 0

16-((x^2)/5) = 0

-1/5*x^2 = -16 // : -1/5

x^2 = 80

x^2 = 80 // ^ 1/2

abs(x) = 4*5^(1/2)

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

x in (-oo:-(4*5^(1/2))) U (-(4*5^(1/2)):4*5^(1/2)) U (4*5^(1/2):+oo)

(12-(((3*x)/20)*x))/(16-((x^2)/5)) = 0

((-3/20)*x^2+12)/(16-((x^2)/5)) = 0

(12-3/20*x^2)/(16-1/5*x^2) = 0

-3/20*x^2 = -12 // : -3/20

x^2 = 80

x^2 = 80 // ^ 1/2

abs(x) = 4*5^(1/2)

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

x in { 4*5^(1/2)}

x in { -(4*5^(1/2))}

x belongs to the empty set

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