Challenge Yourself With This Singapore Math Olympiad Question 

Idk how old 8th grade is but in Singapore we learn this at 13

@@iamtheboneofmysword728 8th grade is 13 or 14

​@@iamtheboneofmysword728clarification: we were indeed given tools to solve this at 13/14 but i doubt most sgporeans wld be able to solve this if you picked one out at random. but yeah maybe at most theyll ask us to find x^2 + y^2 from this in an exam question.

@friepima499 That's true, you probably wouldn't see a question like this in sec 1 so the average student may not be able to solve it. While I don't recall my sec 1-2 exams I know that there are similar questions in the earlier sections of O level papers, which are the easier ones that test sec 1-2 concepts. If you pick out a sec 1 student getting As for math which isn't difficult, they'd probably be able to solve this though

@@friepima499 You're right. I solved x²+y² question in a real study book.

That's the thing, we don't need to know

You only answer what's asked

you can solve for x by getting y from the first formula, and using it in the second. I.d., x + y = 12 -> y = 12 - x | xy = 10 -> x(12 - x) = 10 -> 12x - x² - 10 =0 -> x ≈ 11.1 or x ≈ 0.9

(a+b)² isn't equal to a²+b²

Hi, yes you are right. As shown in the video, (a+b)^2 = a^2 + 2ab +b^2. Thanks for watching the video!

@@Prypak since we know value of ab then we just deduct 2ab and it's equal