3/(y-5)-2/(y+1)+3=0

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Solution for 3/(y-5)-2/(y+1)+3=0 equation:


D( y )

y+1 = 0

y-5 = 0

y+1 = 0

y+1 = 0

y+1 = 0 // - 1

y = -1

y-5 = 0

y-5 = 0

y-5 = 0 // + 5

y = 5

y in (-oo:-1) U (-1:5) U (5:+oo)

3/(y-5)-(2/(y+1))+3 = 0

3/(y-5)-2*(y+1)^-1+3 = 0

3/(y-5)-2/(y+1)+3 = 0

(3*(y+1))/((y-5)*(y+1))+(-2*(y-5))/((y-5)*(y+1))+(3*(y-5)*(y+1))/((y-5)*(y+1)) = 0

3*(y+1)-2*(y-5)+3*(y-5)*(y+1) = 0

3*y^2+y-12*y-15+13 = 0

3*y^2-11*y-2 = 0

3*y^2-11*y-2 = 0

3*y^2-11*y-2 = 0

DELTA = (-11)^2-(-2*3*4)

DELTA = 145

DELTA > 0

y = (145^(1/2)+11)/(2*3) or y = (11-145^(1/2))/(2*3)

y = (145^(1/2)+11)/6 or y = (11-145^(1/2))/6

(y-((11-145^(1/2))/6))*(y-((145^(1/2)+11)/6)) = 0

((y-((11-145^(1/2))/6))*(y-((145^(1/2)+11)/6)))/((y-5)*(y+1)) = 0

((y-((11-145^(1/2))/6))*(y-((145^(1/2)+11)/6)))/((y-5)*(y+1)) = 0 // * (y-5)*(y+1)

(y-((11-145^(1/2))/6))*(y-((145^(1/2)+11)/6)) = 0

( y-((11-145^(1/2))/6) )

y-((11-145^(1/2))/6) = 0 // + (11-145^(1/2))/6

y = (11-145^(1/2))/6

( y-((145^(1/2)+11)/6) )

y-((145^(1/2)+11)/6) = 0 // + (145^(1/2)+11)/6

y = (145^(1/2)+11)/6

y in { (11-145^(1/2))/6, (145^(1/2)+11)/6 }

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