Mark has been watching 16 movies per month for the past x months. max has been trying to keep up with his pace but has only been able to watch half as many as mark has. between the two of them they have watched a total of 144 movies. for how many months have they been watching these 144 movies?

Step-by-step explanation:

Givens

We can represent the number of movies Mark has been watching per month as

The representation for Max is

Now, we know that they watched 144 movies in months, so

Then, we solve for

Therefore, after 6 months, they watched 144 movies.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15