Algebra integers

Question

find two consecutive even integers such that the square of the larger integer is nineteen

Answer 1

x and x+2

(x+2) ^2 = 19

x+2 = + or - sqr19

x = -2 + or - sqr19 which is not an integer much less an even integer

No solution. null set

x=-2 + or - about 4.4

x = -6.4 or 2.4 with x+2 = -4.4 or 4.4

definitely not two consecutive integers.

but they are consecutive numbers, one 2 larger than the other, as even consecutive integers are