Let

Substitute into differential equation:

Factor out t^r and solve for 'r':
A multiplication is zero if and only if at least one of the factors is zero. So, in this case, the multipications equals zero when

The first equation has no real solutions, because
is a square, and thus it's positive. If you add 4 to a positive number, the result can't be zero.
The second equation has the solution

So, globally, the expression equals zero if and only if 
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: x=11
Explanation: See below!
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
C=25m+75
this is simple y=mx+b (slope intercept form) b is the constant, or 75, no matter what it stays the same. m is the factor that changes, it depends on how many months yous stay with the gym.