`alpha,beta`
`x^2+4x+3=0`
`alpha+beta=-4`
`alphabeta=3`
`1+beta/alpha+1+alpha/beta`
`2+(beta^2+alpha^2)/(alphabeta)`
`2+((alpha+beta)^2-2alphabeta)/(alphabeta)`
`2+(16-6)/3`
`16/3`
`(1+beta/alpha)(1+alpha/beta)`
`1+beta/alpha+alpha/beta+1`
`2+alpha/beta+beta/alpha`
`16/3`
`x^2`-(sum of roots)x+product of roots=0
`x^2-(1+alpha/beta+beta/alpha+1)+(1+alpha/beta)(1+beta/alpha)=0`
`x^22-16/3x+16/3=0`
`3x^2-16x+16=0`.