Show Digest for last: 2 Days | 3 Days | 5 Days | 1 Week | 2 Weeks

A pentagon has vertices A, B, C, D and E, where ABCE is a square of side length 2 units, and CDE is an equilateral triangle.

Points A, B and D lie on the circumference of a circle G.

What is the exact area of the part of circle G that lies outside pentagon ABCDE?

Find all possible real values of x that satisfy this equation:

xx = 4x+4

The sum of the binomial coefficients in the binomial degree expansion (x+(1/x)^1/3)ⁿ is 4096. Find the middle term of the expansion.

Each of x and y is a real number that satisfies this equation:

x³ + y³ + 8 = 6xyz

Find all possible values of x+y