The difference of the squares of two numbers is 45. The square of the smaller number is 4 times the larger number. Determine the numbers.

Five times a certain whole number is equal to three less than twice the square of the number. Find the number.

The sum of two numbers is 9 and the sum of their squares is 41 . Taking one number as x, form an equation in x and solve it to find the numbers .

There are three consecutive positive integers such that the sum of the square of the first and the product of the other two is 154. What are the integers ?