Solve for p and q p+q/pq = 2, p-q/pq = 6 where, p≠ 0, q≠ 0
Answers
Answered by
35
(p+q)/pq=2
or, p+q=2pq----------(1)
(p-q)/pq=6
or, p-q=6pq
or, p-q=3(p+q); using (1)
or, p-q=3p+3q
or, p-3p=3q+q
or, -2p=4q
or, p=-2q
Putting in (1),
-2q+q=2(-2q)q
or, -q=-4q²
or, q/q²=4
or, 1/q=4
or, q=1/4
∴, p+1/4=2p(1/4)
or, p+1/4=p/2
or, p-p/2=-1/4
or, p/2=-1/4
or, p=-1/2
∴, p=-1/2, q=1/4
or, p+q=2pq----------(1)
(p-q)/pq=6
or, p-q=6pq
or, p-q=3(p+q); using (1)
or, p-q=3p+3q
or, p-3p=3q+q
or, -2p=4q
or, p=-2q
Putting in (1),
-2q+q=2(-2q)q
or, -q=-4q²
or, q/q²=4
or, 1/q=4
or, q=1/4
∴, p+1/4=2p(1/4)
or, p+1/4=p/2
or, p-p/2=-1/4
or, p/2=-1/4
or, p=-1/2
∴, p=-1/2, q=1/4
Answered by
4
Answer:
q = 1/4
p = -1/2
Step-by-step explanation:
Please See The Attached Sheet To Get Your Answer
Hope It Helps You....
Attachments:
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