The sum of the square of a positive number and the square of 2 more than the number is 202. What is the? number?

x^2 + (x + 2) ^2 = 202

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

2x^2 + 4x + 4 = 202

2x^2 + 4x - 198 = 0

x^2 + 2x - 99 = 0

x = - 2/2 ± √ ((2/2) ^2 - (-99))

x = 9 or x = - 11

-11 is not a positive number so the number is 9.