Answer:
13, 15
Step-by-step explanation:
Let x represent the smaller of the two integers. Then the larger is x+2. The required relation is ...
x² = 154 +(x +2) . . . . . . the smaller squared is 154 more than the larger
x² -x = 156 . . . . . . . . . . subtract x
x² -x +1/4 = 156.25 . . . complete the square
(x -1/2) = √156.25 = 12.5 . . . . take the square root
x = 13 . . . . . add 1/2
The two integers are 13 and 15.
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Check
13² -15 = 169 -15 = 154 . . . as required
