SAT question?

2016-12-22 5:29 am
Explanation on how to get answer

Two positive integers j and k satisfy the relation jRk if and only if j = k^2 + 1. If m, n, and p satisfy the relations mRn and nRp, what is the value of m in terms of p?

回答 (2)

2016-12-22 5:40 am
✔ 最佳答案
m = n^2 + 1...........(1)

n = p^2 + 1..............(2)

Substitute for n using (2)

m = (p^2 + 1)^2 + 1

= p^4 + 2p^2 + 1 + 1

= p^4 + 2p^2 + 2
2016-12-22 5:41 am
m = n² + 1 & n = p² + 1 ====> m = [ p² + 1 ]² + 1


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