Can You Solve This? | Math Olympiad | Find x and y

Solving systems of exponential equations by substitution
GERMANY | Can you solve this math olympiad x=? ,y=?
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[@user-jj8kg5ef2t]

it is so much easier to first let a=root(x) and b=root(y) And the equation become a+b = 10 and ab = 10

[@sunil.shegaonkar1]

why substitute, handle as they are. Remember you have to find sq rt (X & Y); in your case a & b.

[@user-hk7sn3et5l]

Full command on Ur subject n explained very thoroughly ❤, well done api

[@pagesbyaapi6907]

Thank you 😊

[@elenazelonkova7640]

nicely explained

[@irumsama7537]

Simply explained ❤

[@Noor.Noor-gx4et]

Unbelievable 😍, explained very well ❤

[@pagesbyaapi6907]

Thank you 😊

[@jeffreylin235]

Your solution is a bit too complicated. Using Vieta's formulas, sqrt(x) and sqrt(y) can be considered as the roots of equation: a^2 - 10a + 10 = 0. solve for a and square them to get x and y.

[@sunil.shegaonkar1]

Answers not verified. sq rt x= sq rt (40 + sqr 15) & y = 10 - x. And I did not need to go Square of X.