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If p > 0, = 0, then what is the value of
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07 Apr 2023, 07:42
07 Apr 2023, 07:42
Expert Reply
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Question Stats:
71% (01:14) correct
28% (01:04) wrong based on 21 sessions
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If \(p > 0\), \((p+2)(5-\frac{2}{p})=0\) then what is the value of p?
–2
–1
– 2/5
2/5
2
–2
–1
– 2/5
2/5
2
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
Re: If p > 0, = 0, then what is the value of
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13 Apr 2023, 16:54
13 Apr 2023, 16:54
1
Expert Reply
Carcass wrote:
If \(p > 0\), \((p+2)(5-\frac{2}{p})=0\) then what is the value of p?
–2
–1
– 2/5
2/5
2
–2
–1
– 2/5
2/5
2
The given equation is:
(p + 2)(5 - 2/p) = 0
According to the zero-product property, if the product of two factors is equal to zero, then at least one of the factors must be equal to zero.
So, we can set each factor separately to zero and solve for "p":
Setting (p + 2) = 0, we get:
p + 2 = 0
p = -2
Setting (5 - 2/p) = 0, we get:
5 - 2/p = 0
Multiplying both sides by "p" (since p > 0), we get:
5p - 2 = 0
Adding 2 to both sides, we get:
5p = 2
Dividing both sides by 5, we get:
p = 2/5
Answer: D
gmatclubot
Re: If p > 0, = 0, then what is the value of [#permalink]
13 Apr 2023, 16:54
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