Asked by Anjali
The sum of square of a positive number and square of its reciprocal is 7.Find the number
Answers
Answered by
Scott
n^2 + 1/n^2 = 7
n^4 + 1 = 7 n^2
... n^4 - 7 n^2 + 1 = 0
let k = n^2
k^2 - 7k + 1 = 0
use quadratic formula to find k
n = √k
n^4 + 1 = 7 n^2
... n^4 - 7 n^2 + 1 = 0
let k = n^2
k^2 - 7k + 1 = 0
use quadratic formula to find k
n = √k
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