If 12 is added to the square of a positive integer, the result is 133. find the positive integer.

The square of a positive integer added to 4 times the integer is 437.. x2 + 4x = 437 I chose to do this by completing the square.. x2+4x+4 = 437 + 4(x+2)2 = 441Take square root of both sides x+2 = ±√441x = -2 ± 21 x = -23 or x = 19 We are told the variable is a positive integer,  x = 19

Check:  192 + 4(19) = 437           361 + 76 = 437               437 = 437This answer checks