4-(3/(v-2))=-(3/(v-1)(v-2))

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Solution for 4-(3/(v-2))=-(3/(v-1)(v-2)) equation:


D( v )

v-1 = 0

v-2 = 0

v-1 = 0

v-1 = 0

v-1 = 0 // + 1

v = 1

v-2 = 0

v-2 = 0

v-2 = 0 // + 2

v = 2

v in (-oo:1) U (1:2) U (2:+oo)

4-(3/(v-2)) = -((3/(v-1))*(v-2)) // + (3/(v-1))*(v-2)

(3/(v-1))*(v-2)-(3/(v-2))+4 = 0

(3/(v-1))*(v-2)-3*(v-2)^-1+4 = 0

(3*(v-2))/(v-1)-3/(v-2)+4 = 0

(-3*(v-1))/((v-2)*(v-1))+(3*(v-2)^2)/((v-2)*(v-1))+(4*(v-2)*(v-1))/((v-2)*(v-1)) = 0

3*(v-2)^2-3*(v-1)+4*(v-2)*(v-1) = 0

3*v^2+4*v^2-15*v-12*v+8+15 = 0

7*v^2-27*v+23 = 0

7*v^2-27*v+23 = 0

7*v^2-27*v+23 = 0

DELTA = (-27)^2-(4*7*23)

DELTA = 85

DELTA > 0

v = (85^(1/2)+27)/(2*7) or v = (27-85^(1/2))/(2*7)

v = (85^(1/2)+27)/14 or v = (27-85^(1/2))/14

(v-((27-85^(1/2))/14))*(v-((85^(1/2)+27)/14)) = 0

((v-((27-85^(1/2))/14))*(v-((85^(1/2)+27)/14)))/((v-2)*(v-1)) = 0

((v-((27-85^(1/2))/14))*(v-((85^(1/2)+27)/14)))/((v-2)*(v-1)) = 0 // * (v-2)*(v-1)

(v-((27-85^(1/2))/14))*(v-((85^(1/2)+27)/14)) = 0

( v-((27-85^(1/2))/14) )

v-((27-85^(1/2))/14) = 0 // + (27-85^(1/2))/14

v = (27-85^(1/2))/14

( v-((85^(1/2)+27)/14) )

v-((85^(1/2)+27)/14) = 0 // + (85^(1/2)+27)/14

v = (85^(1/2)+27)/14

v in { (27-85^(1/2))/14, (85^(1/2)+27)/14 }

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