Algebra word problem

[tobi]

Can you help me solve this ..


Two numbers are such that their sum multiplied by the sum of their squares is equal to 5500, and their difference multiplied by the difference of their square is 352. What is the value of two numbers?


thanks ..

 

[stapel]

Two numbers are such that their sum multiplied by the sum of their squares is equal to 5500, and their difference multiplied by the difference of their square is 352. What is the value of two numbers?

What have you tried? How far have you gotten? Where are you stuck?

You picked variables for the two numbers. You created expressions for their squares, their sum, the sum of their squares, their product, and the differences. You created the indicated equations, which formed a system of non-linear equations. And... then what?

Please be complete. Thank you!

 

[Deleted member 4993]

Can you help me solve this ..


Two numbers are such that their sum multiplied by the sum of their squares is equal to 5500, and their difference multiplied by the difference of their square is 352. What is the value of two numbers?


thanks ..

Are these numbers restricted to positive integers?