A Nice Exponential math problem ll mathematics 👇

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[juancosta]

Since A and B are natural, the problem can easily be solved by the Pythagorean Theorem. a² = b² + 6², therefore A is the hypotenuse, B is a side, and 6 is another side. 6 is a multiple of 3, and remembering that 3, 4 and 5 is a right triangle, we conclude that the subsequent side B is 8 and the hypotenuse A is worth 10.

[ganeshdas]

To have a natural number both factors must be even or odd. Odd factors don't exist with 36.Hence, 18 & 2 are only feasible under the condition

[我你-ve]

解的很詳細，但浪費太多時間！
1.因數分解不夠有系統！
應該是36*1, 18*2, 12*3, 9*4然後是6*6(不合)，以後的都可以捨去！！

耗時至少節省一半！！！

[ΑλέξανδροςοΝαύτης]

Геометрическое решение: переносим "в" в квадрате в правую часть и получаем теорему Пифагора, тогда получается что "а" это гипотенуза а "в и корень из 36 это катеты", 36 это 6 в квадрате, а 6 это 2 умножить на 3 . Знаем египетский треугольник с катетами 3 и 4 и с гипотенузой 5. У нас такой же но с коэффициентом 2, поэтому а=10 а в=8.

[vincentrobinette]

A=10, B=8. A^2=100 B^2=64. 100-64=36.

[sudhangshubhattacharya]

As 36 is a square of an even number therefore and only 18×2 is such a pair of even numbers therefore we may get them as {(18+2)×(18-2)}/2=20/2 × 16/2=10 and 8 = a and b is (10)^2 -(8)^2=36

[BartBuzz]

Actually, all four cases give "a" and "b" that satisfy a^2 - b^2 = 36. whether they are "natural" numbers or not.

[Dr_piFrog]

Quick solution gives: a = 10, b = 8. QED

[mauriziograndi]

a=10, b=8
10^2=100
8^2=64
100-64=36
Found at a glance before starting the video.

[larry]

If the condition had been (a+b)>=(a-b), you would have had two more solutions: 6, 0 and -6, 0.

[heikelawin]

Eine einfache Lösung wäre:
a = 6, b = 0

[DarekKoczwara]

If it wasn't for the a+b greater than a-b, 6and 0 would work. Just saying...

[albertnawab]

N = B
N + B = 4 × 10⁴ P
B + Z = P 🤣🤣🤣
Nobody can solve.

[LANNGUYEN-kvjl]

It' s stupid to solve this equation in that way. It' s waste of time.

[honeylin]

（a+b）(a-b）=9x4是正确的答案。
a+b=9 a-b=4 两组相加得出：a=13/2 两组相减得出：b=5/2 。a的平方减去b的平方等于13/2的平方减去5/2的平方等于169/4减去25/4。得出144/4, 即答案是36。完全正确。