$x^2+3x+24$ is a perfect square then find the value of $x$
118538
Find all integers $x$ such that $x^2+3x+24$ is a perfect square.
134
Prove that the expression is a perfect square
67356
When is $2^x+3^y$ a perfect square?
155789
Integral values of $x$ for which the expression $x^2+19x+92$ is a perfect square
54355
$1+x+\ldots+x^n$ perfect square
152754
When is the sum of divisors a perfect square?
136366
Show that if $2+2\sqrt{28n^2+1}$ is an integer then it must be perfect square.
146753
Find $x$ such that $(x^2 + 4x + 3)^x + (2x + 4)^x = (x^2 + 4x + 5)^x$
91496
If $x_1,x_2,\ldots,x_n$ are the roots for $1+x+x^2+\ldots+x^n=0$, find the value of $\frac{1}{x_1-1}+\frac{1}{x_2-1}+\ldots+\frac{1}{x_n-1}$
28781
$k^{2}+(k+1)^{2}$ being a perfect square for infinitely many $k$
19588
$n!+1$ being a perfect square
68164
$(2x^2+3y^2-7)xdx-(3x^2+2y^2-8)ydy=0$
135212
The square of an integer has form $3n$ or $3n+1$
59782
Are there any $n$ for which $ n^4+n^3+n^2+n+1$ is a perfect square?
31317
If we know $x+y+z=1$, $x^2+y^2+z^2=2$, and $x^3+y^3+z^3=3$, how to find $x^4+y^4+z^4$?
86285
Given positive integers $ x , y$ and that $3x^2 + x = 4y^2 +y$ Prove that $x-y$ is a perfect square
96875
Finding the value of $x^{x^2}+x^{x^6}$ given that $x^{x^4}=4$