I was given this problem by my sister, she took it from a past paper in her calculus class (12 grade).
As the title reads, we are asked to solve the equation:
(2x−31−x2)=3
Now this seems a particularly strange problem to me. I see no way to solve this, provided that they haven't studied anything regarding binomial expansions with rational coefficients.
After going through the base conditions that x should satisfy and trying some combinatorial identities I came empty handed. Wolfram Alpha provides a numerical solution that I don't see how to come by using pen and paper.
How would you solve this without making any use of any mathematical apparatus (i.e. gamma function) behind high school level calculus?
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