Question 1199512
<br>
Factorial is only defined for integers, so look for a solution by trying small integer values for x.<br>
By just looking at the first term in the expression, we can quickly see that the equation has no solution.<br>
x = 1: ((1!)!)^2 + ((1!)!) = (1!)^2 + (1!) = 1^2 + 1 = 1 + 1 = 2<br>
x = 2: ((2!)!)^2 + ((2!)!) = (2!)^2 + (2!) = 2^2 + 2 = 4 + 2 = 6<br>
x = 3: ((3!)!)^2 + ((3!)!) = (6!)^2 + (6!) = 720^2 + 720 = 518400 + 720 = 519120<br>
ANSWER: no solution<br>