Question

The sum of the squares of two consecutive positive odd integers is 202. Find the numbers. Let statement and algebraic solution please. Thanks!

Answer 1

Explanation:

the integers are x and x+2

x^2 + x^2 + 4x + 4 = 202

2x^2 + 4x -198 = 0

x^2 + 2x -99 = 0

x^2 + 11x -9x -99 = 0

x(x + 11) -9(x + 11) = 0

(x-9)(x+11) = 0

x = 9 or -11

x+ 2 = 11 or -9

9 or 11

-9 or -11