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If p + q = 3 and p – q = 17, then pq =
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19 Jul 2019, 10:08
19 Jul 2019, 10:08
Expert Reply
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Question Stats:
92% (00:46) correct
7% (01:19) wrong based on 63 sessions
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Re: If p + q = 3 and p – q = 17, then pq =
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19 Jul 2019, 22:58
19 Jul 2019, 22:58
1
2p = 20
P = 10
10 – Q = 17
Q = -7
PQ = -70
P = 10
10 – Q = 17
Q = -7
PQ = -70
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Re: If p + q = 3 and p q = 17, then pq =
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03 Sep 2022, 01:41
03 Sep 2022, 01:41
1
Given that p + q = 3 and p – q = 17 and we need to find the value of pq
p + q = 3 ...(1)
p - q = 17 ...(2)
Adding 1 and 2 we get
p + q + p - q = 3 + 17 = 20
=> 2p = 20
=> p = \(\frac{20}{2}\) = 10
Subtracting 1 and 2 we get
p + q -( p - q ) = 3 - 17 = -14
=> 2q = -14
=> q = -7
pq = 10*-7 = -70
So, Answer will be -70
Hope it helps!
p + q = 3 ...(1)
p - q = 17 ...(2)
Adding 1 and 2 we get
p + q + p - q = 3 + 17 = 20
=> 2p = 20
=> p = \(\frac{20}{2}\) = 10
Subtracting 1 and 2 we get
p + q -( p - q ) = 3 - 17 = -14
=> 2q = -14
=> q = -7
pq = 10*-7 = -70
So, Answer will be -70
Hope it helps!
