## eli123 2 years ago the difference of two numbers is 1 and the sum of their squares is 41, find the numbers

1. chaguanas

You have to translate the words into math symbols.

2. eli123

ok i know that x-x=1

3. eli123

and the exponents have to give me 41

4. chaguanas

For your first response, it would be better if you use a different variable for each number rather than x and x.

5. eli123

x-y=1

6. chaguanas

You are pretty good at this. You need to do the same thing for the second part.

7. eli123

ok but

8. chaguanas

Yah

9. eli123

10. tamtoan

if your variables are x and y, how do you write the sum of their square ?

11. eli123

aaahh i dont know

12. eli123

(5,4)?

13. tamtoan

if the variable is x, the square of that variable is \[x^{2}\] likewise with the other variable ...and the sum of both is ? ...try to write that expression

14. eli123

x^2-y^2=1

15. eli123

2+2?

16. eli123

no no

17. tamtoan

the sum, not the difference ...and the sum of them is 41..do that again ?

18. eli123

4 and 5

19. tamtoan

where do you get 4 and 5 ?

20. eli123

five minus four is 1 and 4^2+5^2 is 41

21. tamtoan

that's guessing, you guess right, but it's not the way to solve :) you have to write a system of 2 equations and try to solve it.