wind and pollution: The amount of airborne particulate pollution P from a power plant depends on the wind speed s, among other things with the relationship between P and S approximated by: p=25-0.01s^2, find the values of That will make p=0

Thank you for the opportunity to help you with your question! I will do this step by step.

p = 25 - 0.01 s^2 (Original equation)

0 = 25 - 0.01 s^2 (set p = 0)

0 = (5 - 0.1s)(5 + 0.1s) (Factor, middle term cancels out)

Set each factor to 0

[0 = 5 - 0.1s] or [0 = 5 + 0.1s]

[-5 = -0.1s] or [-5 = 0.1s] (subtract 5 from both sides of both equations)

s = 50 or s = -50 (divide -5/-0.1 for first equation and -5/0.1 for second equation to solve)

Let me know if you need any clarification.

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