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Byju's Answer
Standard XII
Mathematics
Location of Roots
Find the leas...
Question
Find the least integral positive value of
x
which satisfied the inequality
√
x
2
+
16
x
+
64
>
20.
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Solution
x
2
+
16
x
+
64
≥
0
(
x
+
8
)
2
≥
0
x
ϵ
R
√
x
2
+
16
x
+
64
>
20
Squarring both sides
x
2
+
16
x
+
64
>
400
x
2
+
16
x
−
336
>
0
(
x
+
28
)
(
x
−
12
)
>
0
x
ϵ
(
−
∞
,
−
28
)
∪
(
12
,
∞
)
So, least positive integral value
=
13
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