find Q if p+4/p-2 = Q/p-2
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Answer:p-q = -1
-q = -1-p
q=p+1
Then, we have
p+q = p + (p + 1)
p+q = 2p + 1
We want to isolate one of the 2 variables (p or q), as we have a value for q, we will isolate q.
(p+q)^2 = (2p + 1)^2
p^2 + 2pq + q^2 = 4p^2 + 4p + 1
2pq + q^2 = 3p^2 + 4p + 1
As q = p + 1,
2p(p+1) + q^2 = 3p^2 + 4p + 1
2p^2+2p + q^2 = 3p^2 + 4p + 1
q^2 = p^2 + 2p + 1
q^2 - p^2 = 2p +1
If p^2 - q^2 = 4, then q^2 - p^2 = -4
2p + 1 = -4
2p = -5
p = -2.5
q = -2.5 + 1 (q = p + 1)
q = -1.5
p+q = -2.5 + -1.5
p+q = -4
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answer:
Q = 6
i think it helps
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