Q5. If α, β are roots of x2 – 3ax + a2 = 0, find the value(s) of a if α2 + β2 =
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Answer:
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Step-by-step explanation:
α+β=−3a
αβ=2a
2
α
2
+β
2
=5
(α+β)
2
−2αβ=5
9a
2
−2(2a
2
)=5
5a
2
=5
a=±1
Product of the roots, αβ=2a
2
=2(1)=2
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