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Byju's Answer
Standard XII
Mathematics
Sigma n
If the equati...
Question
If the equation
x
2
+
a
x
+
b
=
0
and
x
2
+
b
x
+
a
=
0
have a common root, then the numerical value of a+b is
−
1
.
( Enter 1 if true or 0 otherwise)
Open in App
Solution
α
2
+
a
α
+
b
=
0
,
α
2
+
b
α
+
a
=
0
Subtracting,
α
(
a
−
b
)
−
(
a
−
b
)
=
0
⇒
α
−
1
=
0
Putting
α
=
1
in one of the above equation we have ,
1
+
a
+
b
=
0
∴
a
+
b
=
−
1
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0
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