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UPSC CDS I 2019 Math Paper
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© examsnet.com
Question : 12
Total: 100
Which of the following pair of numbers is the solution of the equation
3
x
+
2
+
3
−
x
= 10 ?
[2019 CDS-I]
0, 2
0 , - 2
1, - 1
1, 2
Validate
Solution:
Let
3
x
=
t
Now,
9
t
+
1
t
=
10
9
t
2
−
10
t
+
1
=
0
(
9
t
−
1
)
(
t
−
1
)
=
0
t
=
1
9
,
1
When
t
=
1
9
3
x
=
1
9
⇒
x
=
−
2
When t = 1
3
x
=
1
⇒
x
=
0
© examsnet.com
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