Respuesta :
Answer:
19 and 20
Step-by-step explanation:
Let the integers be x and x + 1.
According to the question,
- x² + (x + 1)² = 761
- x² + x² + 2x + 1 = 761
- 2x² + 2x - 760 = 0
- x² + x - 380 = 0
- x² + 20x - 19x - 380 = 0
- x(x + 20) - 19(x + 20) = 0
- (x - 19)(x + 20) = 0
- x = 19, -20
- But x is a positive integer
- ⇒ x = 19
Therefore, the integers are :
- x = 19
- x + 1 = 20
