1. Sum of Two Integers

If the sum of the squares of two positive integers is 32 and their product is 9. What is the sum of two integers?

x^2 + y^2 = 32
xy = 9

Is this the correct set up?

2. Re: Sum of Two Integers

Originally Posted by harpazo
If the sum of the squares of two positive integers is 32 and their product is 9. What is the sum of two integers?

x^2 + y^2 = 32
xy = 9

Is this the correct set up?
Set up correct...but there is NO solution to the problem itself.

Try sum of squares = 34 and product = 15

Very good.

4. Re: Sum of Two Integers

Correct setup. Just apply (x+y)^2=x^2+y^2+2xy ans is 50^1/2.

5. Re: Sum of Two Integers

Originally Posted by mak29
Correct setup. Just apply (x+y)^2=x^2+y^2+2xy ans is 50.
Since $\displaystyle (x + y)^2 = 50$ then the sum $\displaystyle x + y = \pm \sqrt{50}$, which means at least one of x, y is not a positive integer.

-Dan

6. Re: Sum of Two Integers

Originally Posted by mak29
Correct setup. Just apply (x+y)^2=x^2+y^2+2xy ans is 50^1/2.
Thanks.