Respuesta :
Answer:
x - y = 5
x² + y² = 193
x² + (x - 5)² = 193
x² + x² - 10x + 25 = 193
2x² - 10x - 168 = 0
x² - 5x - 84 = 0
(x + 7)(x - 12) = 0
x = 12 (x = -7 is not accepted)
The two numbers are 7 and 12.
Answer:
7 and 12.
Step-by-step explanation:
Let the 2 numbers be A and B Then:
A - B = 5 and
A^2 + B^2 = 193
--> (A - B)^2 + 2AB = 193
--> 5^2 + 2AB = 193
--> 2AB = 193 - 25 = 168
--> AB = 84
--> A = 84/B
Substituting in the first equation:
84/B - B = 5
84 - B^2 = 5B
B^2 + 5B - 84 = 0
(B + 12)(B - 7)
B = 7
