The sum of the squares of two consecutive odd positive integers is 130. find the integers

2 consecutive odd positive integers ... x and x + 2

x^2 + (x + 2) ^2 = 130

x^2 + (x + 2) (x + 2) = 130

x^2 + x^2 + 4x + 4 = 130

2x^2 + 4x + 4 = 130

2x^2 + 4x + 4 - 130 = 0

2x^2 + 4x - 126 = 0

2 (x^2 + 2x - 63) = 0

2 (x - 7) (x + 9) = 0

x - 7 = 0

x = 7

x + 9 = 0

x = - 9 (cant be this one because it is negative

so x = 7 ... and x + 2 = 7 + 2 = 9 ... ur 2 numbers are 7 and 9