If the difference between the roots of the equation is 2 write the values of a.

given x2 + ax + 8 = 0 and α – β = 2

Also from given equation α β = 8


As α – β = 2


Then


α2 - 2 α – 8 =0


(α-4) (α + 2)=0


α = 4 and α = -2


if α = 4 then substituting it in α – β = 2 we get ,


β = 2


from the given equation,


sum of roots = -a


α + β = - a


- a = 4+2


a = -6


if α = - 2 then substituting it in α – β = 2 we get ,


β = - 4


then sum of roots α + β = - a


a = 6


therefore a = ± 6.


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