Question: Each side of a square is of length $6$ units and the center of the square is $(-1, 2)$. One of its diagonals is parallel to $x + y = 0$. Find th...

I know this seems simple but i am really struggling please help me thank you

We can express a square number as the repeated addition of that number in this manner: $1^2 = 1$ $2^2 = 2 + 2$ $3^2 = 3 + 3 + 3$ Generalising this, we get...

I was working some recreational problems from a book (The Art and Craft Of Problem Solving, Zeitz) and came across one from the '84 IMO: Suppose that...

I am passing through a question in which problem is like `I sold a book for $250$ dollars, which resulted in a loss of 50 dollars. So how much loss in per...

I'm kind of stuck on how to solve the following. $10^x = 5^9$ Is there a method or a simple trick to find what is x?

I need help finding an equation that the Navy's Physical Readiness Program Office (PRIMS) keeps unpublished for some unexplainable reason and will no...

I found this in a computer medical research text. What is the meaning of this R-like letter? S, in this context is an iso-intensity surface. [edit] Since ...

I know that I can easly solve this with the $4$th degree's equation, but isn't there a smarter way? It is an olympiad's problem so it shoul...

What does it mean if $\det(A)$ equals $1$? Does it mean that the identity matrix can be obtained from $A$ by only adding multiples of rows onto others?