What is the real value of q for an area of 25 between two given functions?

[olicoh]

The problem and attempt at solution is attached in the word document. I think I have it right but I'm not sure about the upper and lower bound.

 

[magicarpet512]

How did you get the upper and lower bounds?
You should have set your two functions equal to each other and solve for x.

 

[olicoh]

How did you get the upper and lower bounds?
You should have set your two functions equal to each other and solve for x.

I did. I got 6... I didn't get any other number so I assumed the lower bound was 2

 

[magicarpet512]

setting your equations equal we have,
\sqrt{x - 2} = 8 - x
Solving for x should give us a quadratic equation to work with, which will have two roots.
Just apply the quadratic formula. You have one of the roots already, and it is not an upper bound.

 

[pheealpha]

Could someone help me with this question:
given two functions: H(x) and P(x),
H(x)=x^(2) and P(x) = 4-x^(2 )- q*x.
Note, the function P also has a parameter, q which is a real number.


Find the real value(s) of the parameter q such that the area of the region enclosed between these two functions is equal to 25.

I know that I have to H(x)=P(x) to get the intersecting points , but how could I get an answer if I don't have the coefficient q