Canada | Math Olympiad | A Nice Algebra Problem
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Пікірлер: 20
Really excellent. Thank you.
Самый простой способ. Делаем замену а=10 100=10x10 b=9 81=9x9 19=a+b Ставим буквы вместо цифр. Вычисляем, делаем сокращения. Меняем буквы на цифры и извлекаем корень из дроби. Good luck!
Возня ради возни. 19 в четвёртой степени я в столбик посчитаю гораздо быстрее
a^4 + b^4 + ( a + b)^4 = a^4 + b^4 + ( a^2 + b^2 + 2 a b)^2 = 2 ( a^4 + b^4 + 2 a^2 b^2 + 2 a b ( a^2 + b^2) + a^2 b^2) = 2 ( a^2 + ab + b^2) ^2 Here in a = 10, b = 9 Hereby given expression = √ (( a^4 + b^4 + ( a + b) ^4) /2) = a^2 + a b + b^2 = 100 + 90 + 81 =271
271
10:11 the number look familiar
Why does everyone re-write the same problem below?
@jasonvuong2656
9 күн бұрын
They want to get the time for the video.
@Benevezzioficial
7 күн бұрын
Skill issue
What is the plan? Why were the numbers 81,19 and 100 used? Could it be by rearranging the terms, we have a perfect square? Please do NOT cancel the square root and square. The sq root of x squared is NOT x but the absolute value of x.
What’s the point of solving it by hand when you can just punch it into a calculator?
@jasongoldman3850
Күн бұрын
Using a calculator is too easy.
@seseroauodriguesrodriguamuoes
5 сағат бұрын
1000 2. 81 2. 19332597&cost_cpa 9
@seseroauodriguesrodriguamuoes
5 сағат бұрын
2
wtf why all that when you could’ve just taken off the 2 powers of all and made the calculations like: 100+81+ 19x19/ 2
@mse326
6 күн бұрын
You can't just eliminate the powers with a sum under the radical. That can be done if it is only multiplication and division.
@44sashilo10
6 күн бұрын
avg fat black guy
Dear master, I checked the result with the calculator and it doesn’t match. It’s 91,98… not 271. What’s wrong?
@leoniedejong9549
9 күн бұрын
You probably did 19 squared and not to the fourth power.
271