SOLUTION: What number does the t stand for in each of the following equations: a. 100=125-5t squared b. 50=125-5t squared

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Question 166460: What number does the t stand for in each of the following equations:
a. 100=125-5t squared
b. 50=125-5t squared
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first one to get you started

a)

100=125-5t%5E2 Start with the given equation


0=125-5t%5E2-100 Subtract 100 from both sides.


0%2B5t%5E2=125-100 Add 5t%5E2 to both sides.


5t%5E2=25 Combine like terms.


t%5E2=%2825%29%2F%285%29 Divide both sides by 5.


t%5E2=5 Divide.


t=0%2B-sqrt%285%29 Take the square root of both sides.


t=sqrt%285%29 or t=-sqrt%285%29 Break up the "plus/minus" to form two equations.



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Answer:


So the solutions are t=sqrt%285%29 or t=-sqrt%285%29.