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Question

x2+3ax+2a2=0
If the above equation has roots α,β and it is given that α2+β2=5, then the product of roots is

A
2
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B
1
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C
3
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D
3
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Solution

The correct option is C 2
α+β=3a
αβ=2a2
α2+β2=5
(α+β)22αβ=5
9a22(2a2)=5
5a2=5
a=±1
Product of the roots, αβ=2a2=2(1)=2

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