(10y-6)/(9y^2-15y)

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Solution for (10y-6)/(9y^2-15y) equation: 


D( y )

9*y^2-(15*y) = 0

9*y^2-(15*y) = 0

9*y^2-(15*y) = 0

9*y^2-15*y = 0

9*y^2-15*y = 0

DELTA = (-15)^2-(0*4*9)

DELTA = 225

DELTA > 0

y = (225^(1/2)+15)/(2*9) or y = (15-225^(1/2))/(2*9)

y = 5/3 or y = 0

y in (-oo:0) U (0:5/3) U (5/3:+oo)

(10*y-6)/(9*y^2-(15*y)) = 0

(10*y-6)/(9*y^2-15*y) = 0

9*y^2-15*y = 0

3*y*(3*y-5) = 0

3*y-5 = 0 // + 5

3*y = 5 // : 3

y = 5/3

3*y*(y-5/3) = 0

(10*y-6)/(3*y*(y-5/3)) = 0

10*y-6 = 0 // + 6

10*y = 6 // : 10

y = 6/10

y = 3/5

y = 3/5

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