(10z^2-250)/(4z^2-100)

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Solution for (10z^2-250)/(4z^2-100) equation: 


D( z )

4*z^2-100 = 0

4*z^2-100 = 0

4*z^2-100 = 0

4*z^2 = 100 // : 4

z^2 = 25

z^2 = 25 // ^ 1/2

abs(z) = 5

z = 5 or z = -5

z in (-oo:-5) U (-5:5) U (5:+oo)

(10*z^2-250)/(4*z^2-100) = 0

10*z^2 = 250 // : 10

z^2 = 25

z^2 = 25 // ^ 1/2

abs(z) = 5

z = 5 or z = -5

z in { 5} 

z in { -5} 

z belongs to the empty set

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