Tardigrade
Tardigrade - CET NEET JEE Exam App
Exams
Login
Signup
Tardigrade
Question
Mathematics
Number of integral values of ' x ' such that | x 2-3 x -10|+|11 x - x 2-10|=|8 x -20|, is
Q. Number of integral values of '
x
' such that
∣
∣
x
2
−
3
x
−
10
∣
∣
+
∣
∣
11
x
−
x
2
−
10
∣
∣
=
∣8
x
−
20∣
, is
625
92
Complex Numbers and Quadratic Equations
Report Error
A
7
B
8
C
9
D
10
Solution:
(
x
2
−
3
x
−
10
)
(
11
x
−
x
2
−
10
)
≥
0
∴
(
x
2
−
3
x
−
10
)
(
x
2
−
11
x
+
10
)
≤
0
⇒
(
x
−
5
)
(
x
+
2
)
(
x
−
1
)
(
x
−
10
)
≤
0
x
=
−
2
,
−
1
,
0
,
1
,
5
,
6
,
7
,
8
,
9
,
10