Alan

As follows:

Solve xz = 585, xy = 182, yz = 630.

1. Multiply them all together    (xyz)² = 67076100

2. Take square root  xyz = 8190

3. Divide xyz by yz:   x = 8190/630   x = 13

4. Divide xyz by xz:  y = 8190/585    y = 14

5. Divide xyz by xy  z = 8190/182     z = 45

n⁸/n⁵ = 512

n^(8-5) = 512

n³ = 512

n = 8

As follows:

I'll leave you to round to the nearest hundredth.

Like so:

Don't keep repeating the same question several times within a short period of time!

Expand the left hand side

\(abx^2+(a^2+b^2)x+ab=26x^2+[]x + 26\)

So we must have 

a*b = 26

a and b are integers, so the possibilities are 

a = 1   b = 26

a = 2   b = 13    

(or the same with a and b switched).

Hence [] must be either \(1^2+26^2\)   or  \(2^2+13^2\)

I'll leave you to decide which is smaler.

As follows:

The ¬ symbol is the logical negation symbol Melody. It means NOT(whatever follows). 

As follows: