if,
p/x=x/q
then cross-multiplying gives <span>x^2=pq</span>
<span>x^2=pq</span>. Taking the square root of both sides, we get <span>x=√pq</span> as the geometric mean of p and q.
Hence in the given question the product of p and q is 8.
so,
x=√8
x=2√2
The smallest number of seats that both theatres can have us 60
-np-4≤2(c-3)
-np-4≤2x-6
-np≤2x-2
-n≤(2x-2)/p
n≥-((2x-2)/p)
You have to distribute!
6(x) = 6x and 6(-6)=-36
So now you have 6x-36=-3(-x+3)
Now do the same on the other side.
-3(-x)=3x -3(3)=-9
So now, 6x-36=3x-9
Combine the like terms:
Subtract 3x in both sides.
6x-3x=3x
Now: 3x-36=-9
Add 36 in both sides.
3x=27
Divide by 3 on both sides to get x alone.
3x/3= x 27/3=9
X=9
