Question

if α,β are roots of x²-5x+6=0 then (α+1) (β+1)=​

Answer 1

Answer:

Step-by-step explanation:

Sum of roots, α + β = -b/a = -(-5)/1 = 5

product of roots, αβ = c/a = 6/1 = 6

Now,

(α + 1)(β + 1) = αβ + α + β + 1

                   = 6 + 5 + 1

                   = 12