If zeroes of the polynomial x2 + 4x + 2a are a and 2/a, then find the value of a.
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Explanation:
Comparing x
2
+4x+2a with ax
2
+bx+c,
a=1,b=4,c=2a
According to the question,
α,
2
α
are the zeroes of the polynomial,
sum of the zeroes
a
b
α+
2
α
=
1
−4
α=
3
−8
α
2
=
9
64
[squaring both sides]
product of all zeroes,
α×
2
α
=
1
2a
α
2
=4a
∴4a=
9
64
[∵α
2
=
9
64
]
a=
9
16
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