SOLUTION: Let a and b be integer such that (2 + sqrt(5))(137) = a + b sqrt(5). Compute a^2 - 5b^2.

Algebra.Com
Question 1209713: Let a and b be integer such that (2 + sqrt(5))(137) = a + b sqrt(5). Compute a^2 - 5b^2.
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!





;




RELATED QUESTIONS

Let (2 + \sqrt{5})(137) = a + b \sqrt{5}, where a and b are integers. Compute a^2 -... (answered by CPhill)
Let a, b, c, and d be distinct real numbers such that a = \sqrt{4 + \sqrt{5 + a}}, b =... (answered by CPhill,ikleyn)
sqrt(a^2/b^5) sqrt (a/b sqrt... (answered by mananth)
simplify: sqrt 4/5 a) 2 sqrt (5) b) 2 sqrt (5) / 5 c) 2 b) sqrt... (answered by texttutoring)
simplify: sqrt (4) / (5) a) 2 sqrt (5)/5 b) 2 sqrt (5) c) sqrt (5) d)... (answered by rapaljer)
What sort of approach should i do, when im faced with a question such as: Given that... (answered by robertb)
Simplify: 2 sqrt (3) + 6 sqrt(2) - 4 sqrt(3) + sqrt (2) a) 8 sqrt(2) - 3 sqrt(3) b) 6 (answered by Fombitz)
I need detail solution: A = ( {{{sqrt(2)}}} + {{{sqrt(3)}}} + {{{sqrt(5)}}})(... (answered by rothauserc)
Let log(a) = 2.3, log(b) = 7.8 and log(c) = -3.5 a. compute the {{{ log ( ( (... (answered by ikleyn)