lol, to the second one. That observation makes the problem trivial. Silly how I missed that, though I spent more time on the first one.
Algebra you say? Hmm, I wasn't using calculus. But then again, the first one has so many similar triangles running around, I probably got bogged down with all the info. But that's the great thing about geometry. There is sooo much interconnectedness. There is so much vitality.
I'll have to give that first one a second try when I get a chance.
For the first one, think about the slopes of BF and AE.