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Byju's Answer
Standard VIII
Mathematics
Cube Numbers
The cube of t...
Question
The cube of the number p is 16 times the number. Find p where, p
≠
0 and p
≠
-4.
A
16
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B
5
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C
14
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D
4
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Solution
The correct option is
D
4
We are given that
p
3
=
16
p
⇒
p
3
–
16
p
=
0
⇒
p
(
p
2
−
16
)
=
0
⇒
E
i
t
h
e
r
p
=
0
o
r
(
p
2
–
16
=
0
)
B
u
t
p
≠
0
(
G
i
v
e
n
)
⇒
p
2
–
16
=
0
⇒
p
2
=
16
⇒
p
=
±
4
B
u
t
p
≠
−
4
∴
p
=
4
.
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