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Joint Entrance Examination
Mathematics
Complex Numbers
Question 301
Question 301 of 455
Medium
MCQ
The sum of all the real values of
x
x
x
satisfying
2
(
x
−
1
)
(
x
2
+
5
x
−
50
)
=
1
2^{(x-1)(x^2+5x-50)}=1
2
(
x
−
1
)
(
x
2
+
5
x
−
50
)
=
1
is:
A
16
B
14
C
-4
D
-5
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Official solution
(
x
−
1
)
(
x
2
+
5
x
−
50
)
=
0
⟹
(
x
−
1
)
(
x
+
10
)
(
x
−
5
)
=
0
⟹
x
=
1
,
5
,
−
10
(x-1)(x^2+5x-50)=0 \implies (x-1)(x+10)(x-5)=0 \implies x=1,5,-10
(
x
−
1
)
(
x
2
+
5
x
−
50
)
=
0
⟹
(
x
−
1
)
(
x
+
10
)
(
x
−
5
)
=
0
⟹
x
=
1
,
5
,
−
10
. Sum
=
1
+
5
−
10
=
−
4.
=1+5-10=-4.
=
1
+
5
−
10
=
−
4.
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