y-3y-15/(y+3)(y-5)

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Solution for y-3y-15/(y+3)(y-5) equation:


D( y )

y+3 = 0

y+3 = 0

y+3 = 0

y+3 = 0 // - 3

y = -3

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

y-((15/(y+3))*(y-5))-(3*y) = 0

y-15*(y+3)^-1*(y-5)-3*y = 0

(-15*(y-5))/(y+3)+y-3*y = 0

(-15*(y-5))/(y+3)+(y*(y+3))/(y+3)+(-3*y*(y+3))/(y+3) = 0

y*(y+3)-15*(y-5)-3*y*(y+3) = 0

y^2-3*y^2-12*y-9*y+75 = 0

75-2*y^2-21*y = 0

75-2*y^2-21*y = 0

75-2*y^2-21*y = 0

DELTA = (-21)^2-(-2*4*75)

DELTA = 1041

DELTA > 0

y = (1041^(1/2)+21)/(-2*2) or y = (21-1041^(1/2))/(-2*2)

y = (1041^(1/2)+21)/(-4) or y = (21-1041^(1/2))/(-4)

(y-((1041^(1/2)+21)/(-4)))*(y-((21-1041^(1/2))/(-4))) = 0

((y-((1041^(1/2)+21)/(-4)))*(y-((21-1041^(1/2))/(-4))))/(y+3) = 0

((y-((1041^(1/2)+21)/(-4)))*(y-((21-1041^(1/2))/(-4))))/(y+3) = 0 // * y+3

(y-((1041^(1/2)+21)/(-4)))*(y-((21-1041^(1/2))/(-4))) = 0

( y-((1041^(1/2)+21)/(-4)) )

y-((1041^(1/2)+21)/(-4)) = 0 // + (1041^(1/2)+21)/(-4)

y = (1041^(1/2)+21)/(-4)

( y-((21-1041^(1/2))/(-4)) )

y-((21-1041^(1/2))/(-4)) = 0 // + (21-1041^(1/2))/(-4)

y = (21-1041^(1/2))/(-4)

y in { (1041^(1/2)+21)/(-4), (21-1041^(1/2))/(-4) }

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