4th Order Polynomials, Soviets on Mars, and The First Female President

Today I Learned:
1) There is an analytical solution for 4th-order polynomials! It's a godawful mess, but it exists. Also, there is provably no analytical solution for 5th-order or higher polynomials.

2) In 1971, the Soviet Union became the first organization to put a rocket on Mars. It broadcasted for about 20 seconds before going silent. At least they got it there!

3) The United States has had a female president, albeit very briefly and not an elected one. In 1920, Woodrow Wilson had a stroke during some rather important diplomatic proceedings. Turns out that at the time, there wasn't a formal chain of command, and Wilson's Vice President simply refused to take the position. So his wife stepped up and Presidented for Wilson while he recovered.