China Can you solve this Math Olympiad

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Math Olympiad Question
Maths Olympiads are held all around the world to Recognise students who excel in Maths. The test is
offered at many grade levels and provides them with numerous possibilities to win certifications,
awards, and even scholarships for higher studies.
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China Can you solve this Math Olympiad

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26 июн 2024

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Комментарии : 11

@user-id1nm3wc2e 12 дней назад

Its good

@javidmirab-jo6hi 13 дней назад

❤❤

@user-wm5od9xj5i 12 дней назад

Great

@javidmirab3492 13 дней назад

Excellent

@reef2005 11 дней назад

Think of a, b & c as the sides of a cube. The sum of any 2 sides equals the volume abc which implies that a=b=c. Hence a^2=2.

@user-td2gn1gi7d 9 дней назад

2(a +b + c ) = 3(abc) .a = b = c = 1/2 abc

@bennybro6418 12 дней назад

BTW a=b=c=0 would be ok as well, anyway: a=abc-b & c=abc-b so a=c, b=abc-c & a=abc-c so b=a=c, you DO NOT need 160 seconds for that. Now back to a+b=abc: Now that's 2a=a^3, that's 2=a^2, so ±√2=a=b=c. That really doesn't take 5 minutes.

@agon19 11 дней назад

I admit the slowness of the video was a tad annoying, but he's clearly slowing it down for a wider audience. Also, I think your solution is lacking because it doesn't lead to 0 as a possible result. When you divided both sides of the equation by 'a', you assumed that 'a' can't be 0. (Because division by 0 is undefined)

@bennybro6418 11 дней назад

@@agon19 ...You read the very 1rst sentence?

@agon19 11 дней назад

@@bennybro6418 well if you decide that 'a' can be 0, then you can't divide by 'a'

@bennybro6418 11 дней назад

@@agon19 Well, FIRST CASE: 0+0=0*0*0. NEXT Case AFTER 1st case: a is NOT zero and - wow! - b is NOT zero and - who would have thought that: - c is NOT zero: a=abc-b & c=abc-b so a=c, b=abc-c & a=abc-c so b=a=c, you DO NOT need 160 seconds for that. Now back to a+b=abc: Now that's 2a=a^3, that's 2=a^2, so ±√2=a=b=c. That really doesn't take 5 minutes. What's your FUCKING PROBLEM?