48/y+3=8(y+3)

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Solution for 48/y+3=8(y+3) equation:


D( y )

y = 0

y = 0

y = 0

y in (-oo:0) U (0:+oo)

48/y+3 = 8*(y+3) // - 8*(y+3)

48/y-(8*(y+3))+3 = 0

48/y-8*(y+3)+3 = 0

(-8*y*(y+3))/y+48/y+(3*y)/y = 0

3*y-8*y*(y+3)+48 = 0

3*y-8*y^2-24*y+48 = 0

48-8*y^2-21*y = 0

48-8*y^2-21*y = 0

48-8*y^2-21*y = 0

DELTA = (-21)^2-(-8*4*48)

DELTA = 1977

DELTA > 0

y = (1977^(1/2)+21)/(-8*2) or y = (21-1977^(1/2))/(-8*2)

y = (1977^(1/2)+21)/(-16) or y = (21-1977^(1/2))/(-16)

(y-((1977^(1/2)+21)/(-16)))*(y-((21-1977^(1/2))/(-16))) = 0

((y-((1977^(1/2)+21)/(-16)))*(y-((21-1977^(1/2))/(-16))))/y = 0

((y-((1977^(1/2)+21)/(-16)))*(y-((21-1977^(1/2))/(-16))))/y = 0 // * y

(y-((1977^(1/2)+21)/(-16)))*(y-((21-1977^(1/2))/(-16))) = 0

( y-((1977^(1/2)+21)/(-16)) )

y-((1977^(1/2)+21)/(-16)) = 0 // + (1977^(1/2)+21)/(-16)

y = (1977^(1/2)+21)/(-16)

( y-((21-1977^(1/2))/(-16)) )

y-((21-1977^(1/2))/(-16)) = 0 // + (21-1977^(1/2))/(-16)

y = (21-1977^(1/2))/(-16)

y in { (1977^(1/2)+21)/(-16), (21-1977^(1/2))/(-16) }

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