Tag: Radical

This problem is quite hard (or maybe even impossible) to solve using elementary Geometry techniques, such as angle chasing. Therefore, we present a solution that uses the properties of the radical axes and their intersection — the radical center. If you are unfamiliar with those terms, I recom...

As always, try solving this problem for yourself, before reading the solution. Even though this is an IMO problem, you still might be able to solve it, don’t give up too easily, and remember that it is always recommended to work on such problems for at least a few hours. Even if you don’...

One thing about solving an integral is to make use of given properties, in this case, we should apply the even function property to our advantage. I recommend you to pause the article and give this a go, and when you are ready, keep reading for the solution! Solution The expressio...

The season is upon us. You know, the time of the year when scores of conservatives whip out that one quote they remember from Dr. Martin Luther King Jr.'s "I Have a Dream" speech, cherry-picking the part where hopes that his four children would "not be judged by the color of their...

In recent years, there has been renewed attention to issues of disproportionate police brutality targeting Black citizens and communities, Black voter suppression tactics, racial inequalities in health care, and other types of discrimination and anti-Black racism. This attention has s...

Imagine amidst a global surge in terrorism that you see a post on social media, and it says “Glory to the martyrs. Long live the resistance.” Who do you think posted this? Were you imagining something along the lines of an ISIS terrorist? Alas, these were the words posted by an ex-friend...

Radical Rectification challenges traditional notions of charity, aiming not only to address the symptoms of societal issues but to rectify the root causes, fostering lasting transformation. Understanding Radical Rectification: Radical Rectification is about going beyond the surface of i...

After graduating from college, I set off for Washington, DC with new hopes and old clothes… very old clothes. A neighbor who had been like a grandmother to me had passed away and, not having professional clothes, I inherited hers. If you’re thinking the clothes of an 81-year-old migh...

I’ve been at war with life for some time. The morning routine (the one I’ve been perfecting for 6 days straight) gets its first outing and disaster strikes: I sleep in. I’m mortified. The feeling bleeds into the day. Another example of me failing at this life thing. First, it...