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Byju's Answer
Standard XII
Mathematics
Property 3
If x2+k x+6=x...
Question
If x
2
+ kx + 6 = (x + 2) (x + 3) for all x, then the value of k is
(a) 1
(b) –1
(c) 5
(d) 3
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Solution
Given: x
2
+ kx + 6 = (x + 2) (x + 3)
x
2
+
k
x
+
6
=
x
+
2
x
+
3
⇒
x
2
+
k
x
+
6
=
x
2
+
2
x
+
3
x
+
6
⇒
x
2
+
k
x
+
6
=
x
2
+
5
x
+
6
⇒
k
x
=
5
x
⇒
k
=
5
Hence, the correct option is (c).
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