What is xy if x-x2=y-y2, y does not equal 1, and x=1/y ?

# Algebra

# Math Problem of the week #13

Is it possible for there to be a perfect square which is 10 times another perfect square? If so, what is the smallest perfect square which has that property?

# Math Problem of the Week #10

15 friends meet together for a party. Each friend shakes the hand of each other friend, not counting his own. How many handshakes were there in all? BONUS QUESTION: In a similar situation, there are x friends meeting together for a party. Each friend shakes the hand of each other friend, same as above. … Continue reading Math Problem of the Week #10

# Math Problem of the Week # 8

If x=y2 and x2+y2+2xy=100, what is (x+y)4 ?

# Math Problem of the Week #5

NOTE: I will post this problem early, so I will not be posting another problem on Saturday. If x2-y2=17, x>y, and x and y are both whole numbers greater than 0. What is xy?

# Math problem of the week #2

Edward, Theo, and Gloria are in the gym shooting hoops. Every hoop they shot was made by only one person. In the total amount of time they were there together, Edward shot as many hoops as Theo's and Gloria's hoops together. Gloria made 17 more hoops than Theo. If they made 80 hoops in all, … Continue reading Math problem of the week #2