If -1 and 3 are the roots of x2 + px + q = 0, find the values of p and q.
Answers
Answered by
1
Answer:
Solution
Given equation is
x
2
+
p
x
+
q
=
0
Let
α
=
2
+
i
√
3
(given)
Then,
β
=
2
−
i
√
3
Now,
α
+
β
=
−
p
2
+
i
√
3
+
2
−
i
√
3
=
−
p
⇒
4
=
−
p
or
p
=
−
4
Also,
α
β
=
q
(
2
+
i
√
3
)
(
2
−
i
√
3
)
=
q
⇒
7
=
q
Hence, option 'C' is correct.
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