SOLUTION: Please help me solve this question: If x^2 + y^2 = 29 and xy=2, find the value of i) x+y ii) x-y iii) x^4 - y^4

Algebra ->  Square-cubic-other-roots -> SOLUTION: Please help me solve this question: If x^2 + y^2 = 29 and xy=2, find the value of i) x+y ii) x-y iii) x^4 - y^4      Log On


   



Question 751456: Please help me solve this question: If x^2 + y^2 = 29 and xy=2, find the value of
i) x+y
ii) x-y
iii) x^4 - y^4

Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2By%5E2%2B2xy+=+%28x%2By%29%5E2
29+%2B+2%282%29+=+%28x%2By%29%5E2
i)x%2By+=+sqrt%2833%29

ii)similarly
x%5E2%2By%5E2-2xy+=+%28x-y%29%5E2
which leads to
x-y=5
iii)