A number is a palindrome if it reads the same way forwards and backwards. For example, 27872 and 48484 are palindromes, but 28389 and 12541 are not. What is the sum of all of
the 5-digit palindromes?

21708

Step-by-step explanation

Ok I am not so sure about this one, since this was a LOT of counting, and unless you want to see 5 pages of calculations, I'm just going to go on a limb and say trust me. However, if you really want to see for yourself, I'll give you a hint. For the first 1***1 numbers, the sum is 1440. For the 2***2 numbers, the sum is 1683. Try to calculate this to 9***9 to find the answer! Again, not sure about my answer if it's wrong, sorry!

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)