Apr 16, 2020 · I honestly don't understand how this expression can be mathematically correct. I always end up writing x=+1 by accident because the correct way of writing seems so …

Aug 9, 2013 · Factorize : $$ (x+1) (x+2) (x+3) (x+6)- 3x^2$$ I don't really know where to start, but I expanded everything to get : $$x^4 + 12x^3 + 44x^2 + 72x + 36$$ I used rational roots test …

Aug 25, 2014 · If you can pretend you "guessed" the factorization, notice $ (x^2+5x+5)^2-1$ is a difference of squares.

Aug 17, 2014 · My base case is when n= 2 n = 2 we have on the left side of the equation x2 −1 x 2 1 and on the right side: (x−1)(x+1) (x 1) (x + 1) which when distributed is x2 −1 x 2 1.

I am looking for the "best" way to determine whether a function is one-to-one, either algebraically or with calculus. I know a common, yet arguably unreliable method for determining this answer …

Aug 16, 2016 · How did you get your answer? Did you try to apply the chain rule? You might get better answers if you show your process so we can point out where things go wrong.

Jan 26, 2017 · Ive solved this problem and both sides of the function don't appear to be equal to me. However the solution in the back of the book says it is a solution. Am I not simplifying …

Mar 21, 2021 · $$g (x+1)=g (x)+\log x.$$ The solution of such recurrences is made of the general solution of the homogeneous equation (obviously a constant), and a particular solution.

Feb 7, 2022 · Closed 3 years ago. Using the mean value theorem of lagrange I need to prove that for all x > 0: $$ \frac {1} {x+1} < ln (x+1) - ln (x) < \frac {1} {x} $$

Mar 1, 2023 · If $x = x+1,$ then, by substitution, we have $x+1 = x+1.$ Does this mean that $x = x+1$ has infinitely many solutions?