If `alpha,beta` are the roots of `x^(2)+x+1=0` then `|{:(y+1,beta,alpha),(beta,y+alpha,1),(alpha,1,y+beta):}|`

If alpha , beta are the roots of x^2 +x+1=0 then alpha beta + beta alpha =

If alpha,beta are the roots of x^(2)+x+1=0 then det[[beta,y+alpha,1alpha,1,y+beta]]

If alpha,beta are the roots of x^(2)+x+1=0 ,then (alpha)/(beta)+(beta)/(alpha)=

If alpha , beta are the roots of x^2 +x+1=0 then alpha // beta + beta // alpha =

If alpha and beta are the roots of x^2=x+1 then alpha^2/beta-beta^2/alpha=

If alpha, beta are the roots of x^(2)+2x+5=0 , then the equation whose roots are (alpha+1)/(alpha), (beta+1)/(beta) is

If alpha, beta are the roots of x^(2)+2x+5=0 , then the equation whose roots are (alpha+1)/(alpha), (beta+1)/(beta) is

If alpha,beta are the roots of x^(2)+2x+5=0 ,then the equation whose roots are (alpha+1)/(alpha),(beta+1)/(beta) is

If alpha , beta are the roots of ax^2+bx +c=0 then (1+ alpha + alpha ^2)(1+ beta + beta ^2) is

If alpha , beta are the roots of ax^2+bx +c=0 then (1+ alpha + alpha ^2)(1+ beta + beta ^2) is