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Byju's Answer
Standard XI
Mathematics
Inequalities Involving Modulus Function
If αand β ...
Question
If
α
and
β
are the roots of the equation
a
x
2
−
b
x
+
c
=
0
, then evaluate
(
α
+
1
)
(
β
+
1
)
.
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Solution
Consider the given equation.
a
x
2
−
b
x
+
c
=
0
α
+
β
=
b
a
α
β
=
c
a
(
α
+
1
)
(
β
+
1
)
=
α
β
+
β
+
α
+
1
=
c
a
+
b
a
+
1
=
a
+
b
+
c
a
Hence, this is the answer.
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