Answer to Question #291932 in Algebra for Rossy

Question

Solve the equation m2 +n2=29 and m+n =7

Answer 1

Solve the equations:

m² + n² = 29

m + n = 7

First equation we could form in and simplified like this:

(m² + n² + 2mn) - 2mn= 29

(m + n)² - 2mn = 29

We know that m + n = 7, so then (m + n)² - 2mn = 29 becomes:

7² - 2mn = 29

49 - 2mn = 29

2mn = 20

m*n = 10

Now we have :

m * n = 10

m + n = 7

And the numbers for m and n could only be 2 and 5 or 5 and 2.

Answer: (2, 5), (5, 2).