Question

if alpha and beta beta courts of x square + 7 x + 12 is equal zero find the equation whose roots are the whole square of alpha + beta and the whole square of Alpha minus beta

Answer 1

let roots be α+β=-7
square both sides (α+β)^2=49
αβ=12
(α-β)^2=(α+β)^2-4αβ
=49-4(12)=1
we have to find eqn whose roots are 1 and 49
eqn is x^2-(49+1)x+(49*1)=x^2-50x+49...