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Answers by Travis T.

Physics problem (answer)

For this problem, we're going to be using the equation v=rω.  However, when calculating the linear speed v, we want to have ω (angular velocity) in radians/sec.  To do so, we multiply .375 rev/s by 2π to get 2.356 rad/s.  Then we multiply this omega (ω) by the radius of .275...

The way you would solve this is to individually set each of the factors equal to zero and then solve.  The reason being is that only one factor equal to zero is enough to satisfy the equation.  The first is x=-5 and the second is x=3.

First you see if you can factor by saying the factors of 5 whose sum is 10 are...and indeed there are no such factors.  Then, you realize that you have to resort to the quadratic equation which is -b +/- sqrt (b2-4ac)/2a. Plugging in you get -10 +/- sqrt (100-20)/2.  Solving...