How can I break 2 eggs in a 100-story tall building?

A building has a total of 100 floors. Some Types of eggs will be broken when they fall down from a certain floor or above, and the eggs will be broken down from the lower floor (that is, the critical Floor, the eggs are not damaged. Now I want to give you two identical eggs of this type. Q: How can I find this critical floor through these two eggs?

Solution:

Key: each layer may be a critical layer with the same possibility.

Assume that the first egg broke from the X layer, at most need to try X-1, a total of X;

The first egg not broken, and then from x + X-1 layer fell, if broken, at most still need X-2 attempts, a total of X;

The first egg not broken, and then from x + X-1 + X-2 layer fell, if broken, at most also need X-3 attempts, a total of X;

......

In this way, no matter the first floor is a critical building, it can be obtained only X times at most.

X + X-1 + ...... + 1 = (x + 1) * X/2> = 100, x = 14.

How can I break 2 eggs in a 100-story tall building?