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The difference between the roots of the equation
x2 + ax +1=0 is less than 51/2 then set of all possible values of
a is?
let roots of equation areX and Y
then sum of roots=-a
product of roots XY=1
given difference of roots <5^1/2
squaring on both the sides
(X-Y)^2<5
(x-y)^2=(x+y)^2-4XY
=a^2-4<5
(a^2-9)<0
(a-3)(a+3)<0
a=(-3,3)
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