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Manipal Entrance Test 2013 Math Paper
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© examsnet.com
Question : 7
Total: 80
f the sum of two of the roots of
x
3
+
p
x
2
+
q
x
+
r
=
0
is zero, then
p
q
=
-r
2r
- 2r
r
Validate
Solution:
Given that,
α
+
β
=
0
α
+
β
+
γ
=
−
p
⇒
γ
=
−
p
Substituting
γ
=
−
p
in the given equation,
⇒
−
p
3
+
p
3
−
p
q
+
r
=
0
⇒
p
q
=
r
© examsnet.com
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