We know that (a - b)² = a² + b² - 2ab So: 10² + 14² = 10² + 14² - 2x10x14 + 2x10x14 = (10-14)² + 2x140 = 4² + 2x140 11² + 13² = 11² + 13² - 2x11x13 + 2x11x13 = (11-13)² + 2x143 = 2² + 2x(140+3) = 2² + 2x140 + 2x3 12² = 144 = 140 + 4 So: 10² + 11² + 12² + 13² + 14² = 4² + 2² + 2x140 + 2x140 + 2x3 + 140 + 4 = 16 + 4 + 5x140 + 6 + 4 = 20 + 700 + 10 = 730 And 730/365 = 2

We know that (a+b)²=a²+b²+2ab So: 11² = (10 + 1)² = 10² + 1² + 2x10x1 12² = (10 + 2)² = 10² + 2² + 2x10x2 13² = (10 + 3)² = 10² + 3² + 2x10x3 14² = (10 + 4)² = 10² + 4² + 2x10x4 So: 10² + 11² + 12² + 13² + 14² = 5x10² + (1² + 2² + 3² + 4²) + 2x10x(1 + 2 + 3 + 4) 1 + 2 + 3 + 4 = 10 1² + 2² + 3² + 4² = 1 + 4 + 9 + 16 So: 10² + 11² + 12² + 13² + 14² = 5x100 + 30 + 2x10x10 = 500 + 30 + 200 = 730 730/365 = 2

Mikael Andres wrote:

I think "disjoncter" is the perfect word. At least it is the one I would use, and any french people would understand it perfectly.

In french, we would say :

Le disjoncteur s'est déclenché.

or

Le circuit a disjoncté.

We can hear :

Le disjoncteur a disjoncté.

too but in french, we don't like to repeat the same sound twice. It's unpleasant to the ear... but it is perfectly syntaxically correct.

I aggree. I think "déclencher" is the good word for a circuit breaker. "Disjoncter" could do the work too but it is related too overvoltage or over-intensity.