Let's solve the first equation:
X×X + 60 = 85X×X = 85 - 60X×X = 25X = √25X = 5
Now, let's solve the second equation:
(X×X - 23)×9 = 117(5×5 - 23)×9 = 117(25 - 23)×9 = 117(2)×9 = 11718 = 117
However, we have found that the solution is not possible as both equations cannot be true at the same time.
Let's solve the first equation:
X×X + 60 = 85
X×X = 85 - 60
X×X = 25
X = √25
X = 5
Now, let's solve the second equation:
(X×X - 23)×9 = 117
(5×5 - 23)×9 = 117
(25 - 23)×9 = 117
(2)×9 = 117
18 = 117
However, we have found that the solution is not possible as both equations cannot be true at the same time.