Fermat’s Last Theorem is a statement in number theory which states that it is impossible to separate any power higher than the second into two like powers, or, more precisely - if an integer n is greater than 2, then the equation a ^ n + b ^ n = c ^ n has no solutions in non-zero integers a, b, and c. Now, if the difference of any two numbers is 9 and their product is 17, what is the sum of their squares?
(a) 43 (b) 45 (c) 98 (d) 115

• (d)115
  starting lines are rubbish...read last two lines..
  let numbers be x and y
  so x-y=9 and xy=17
  x^2+y^2=(x-y)^2+2xy=9^2+2*17=115
• 12 years agoHelpfull: Yes(11) No(0)
• the answer should be no such pair of (x,y) exists. Since, the product is 17, and 17 being a prime number, and the numbers are integers. then numbers can only be 17 and 1. and there difference cannot be 9.
• 12 years agoHelpfull: Yes(2) No(0)