(y^2-4y-5)/(75-3y^2)

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Solution for (y^2-4y-5)/(75-3y^2) equation: 


D( y )

75-(3*y^2) = 0

75-(3*y^2) = 0

75-(3*y^2) = 0

75-3*y^2 = 0

-3*y^2 = -75 // : -3

y^2 = 25

y^2 = 25 // ^ 1/2

abs(y) = 5

y = 5 or y = -5

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

(y^2-(4*y)-5)/(75-(3*y^2)) = 0

(y^2-4*y-5)/(75-3*y^2) = 0

y^2-4*y-5 = 0

y^2-4*y-5 = 0

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

DELTA = 36

DELTA > 0

y = (36^(1/2)+4)/(1*2) or y = (4-36^(1/2))/(1*2)

y = 5 or y = -1

(y+1)*(y-5) = 0

((y+1)*(y-5))/(75-3*y^2) = 0

( y+1 )

y+1 = 0 // - 1

y = -1

( y-5 )

y-5 = 0 // + 5

y = 5

y in { 5} 

y = -1

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