(6y^2-35y+36)/(3y-4)

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Solution for (6y^2-35y+36)/(3y-4) equation: 


D( y )

3*y-4 = 0

3*y-4 = 0

3*y-4 = 0

3*y-4 = 0 // + 4

3*y = 4 // : 3

y = 4/3

y in (-oo:4/3) U (4/3:+oo)

(6*y^2-(35*y)+36)/(3*y-4) = 0

(6*y^2-35*y+36)/(3*y-4) = 0

6*y^2-35*y+36 = 0

6*y^2-35*y+36 = 0

DELTA = (-35)^2-(4*6*36)

DELTA = 361

DELTA > 0

y = (361^(1/2)+35)/(2*6) or y = (35-361^(1/2))/(2*6)

y = 9/2 or y = 4/3

(y-4/3)*(y-9/2) = 0

((y-4/3)*(y-9/2))/(3*y-4) = 0

( y-4/3 )

y-4/3 = 0 // + 4/3

y = 4/3

( y-9/2 )

y-9/2 = 0 // + 9/2

y = 9/2

y in { 4/3} 

y = 9/2

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