(7)/(3+y)+(y-1)/(y-3)=0

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Solution for (7)/(3+y)+(y-1)/(y-3)=0 equation: 


D( y )

y-3 = 0

y+3 = 0

y-3 = 0

y-3 = 0

y-3 = 0 // + 3

y = 3

y+3 = 0

y+3 = 0

y+3 = 0 // - 3

y = -3

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

7/(y+3)+(y-1)/(y-3) = 0

(7*(y-3))/((y+3)*(y-3))+((y-1)*(y+3))/((y+3)*(y-3)) = 0

7*(y-3)+(y-1)*(y+3) = 0

y^2+9*y-24 = 0

y^2+9*y-24 = 0

y^2+9*y-24 = 0

DELTA = 9^2-(-24*1*4)

DELTA = 177

DELTA > 0

y = (177^(1/2)-9)/(1*2) or y = (-177^(1/2)-9)/(1*2)

y = (177^(1/2)-9)/2 or y = (-(177^(1/2)+9))/2

(y+(177^(1/2)+9)/2)*(y-((177^(1/2)-9)/2)) = 0

((y+(177^(1/2)+9)/2)*(y-((177^(1/2)-9)/2)))/((y+3)*(y-3)) = 0

((y+(177^(1/2)+9)/2)*(y-((177^(1/2)-9)/2)))/((y+3)*(y-3)) = 0 // * (y+3)*(y-3)

(y+(177^(1/2)+9)/2)*(y-((177^(1/2)-9)/2)) = 0

( y+(177^(1/2)+9)/2 )

y+(177^(1/2)+9)/2 = 0 // - (177^(1/2)+9)/2

y = -((177^(1/2)+9)/2)

( y-((177^(1/2)-9)/2) )

y-((177^(1/2)-9)/2) = 0 // + (177^(1/2)-9)/2

y = (177^(1/2)-9)/2

y in { -((177^(1/2)+9)/2), (177^(1/2)-9)/2 }

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