1. S

    Palindromic problem, please help!

    Question: Find the minimum possible value of a^{2}+b^{2}such that the quartic polynomial x^{4}+ax^{3}+bx^{2}+ax+1 has at least 1 real root. Attempt: Since the equation is palindromic, the standard technique is: x^{4}+ax^{3}+bx^{2}+ax+1\Rightarrow x^{2}+ax+b+\frac{a}{x}+\frac{1}{x^{2}} Let...
  2. I


    The odometer of the car shows 15,951 miles. The driver noticed that this number is palindromic. Surprised, the driver saw his third palindromic odometer reading 5 hours later. How many miles per hour was the car traveling in those 5 hours I have the number to be 16061 is this correct...
  3. L

    Palindromic number

    A palindromic number reads the same forwards or backwards, such as 23532. What is the only palindromic prime number with an even number of digits? Thanks for any help!
  4. F

    Decimal Palindromic Integer

    Show every dec. palind. int. that has an even # of digits is div. by 11. For example, 18833881 is divisible by 11; why?
  5. M

    palindromic numbers

    A palindromic number is one that reads the same from left to right or from right to left. For example, 64746 is a palindromic number. a/ How many odd six-digit palindromic numbers are there? b/ How many odd seven digit palindromic numbers are there in which every digit appears at most twice?