(v^2-5v+6)/(2v^2-8)

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Solution for (v^2-5v+6)/(2v^2-8) equation: 


D( v )

2*v^2-8 = 0

2*v^2-8 = 0

2*v^2-8 = 0

2*v^2 = 8 // : 2

v^2 = 4

v^2 = 4 // ^ 1/2

abs(v) = 2

v = 2 or v = -2

v in (-oo:-2) U (-2:2) U (2:+oo)

(v^2-(5*v)+6)/(2*v^2-8) = 0

(v^2-5*v+6)/(2*v^2-8) = 0

v^2-5*v+6 = 0

v^2-5*v+6 = 0

DELTA = (-5)^2-(1*4*6)

DELTA = 1

DELTA > 0

v = (1^(1/2)+5)/(1*2) or v = (5-1^(1/2))/(1*2)

v = 3 or v = 2

(v-2)*(v-3) = 0

((v-2)*(v-3))/(2*v^2-8) = 0

( v-2 )

v-2 = 0 // + 2

v = 2

( v-3 )

v-3 = 0 // + 3

v = 3

v in { 2} 

v = 3

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