The difference between the squares of two numbers is aperiod twice the square of the first number increased by the square of the

Question

maks197457 [2]

3 years ago

13

The difference between the squares of two numbers is aperiod twice the square of the first number increased by the square of the

second number is 19. Find the numbers.

Mathematics

1 answer:

vampirchik [111] · Answer 1 · 2022-12-17T08:00:20+03:00

vampirchik [111]3 years ago

7 0

Numbers are are x and y
x^2-y^2=5
3x^2+y^2=31
Add them
4x^2=36, the y^2 disappear
x^2=9
x=3 and -3
check both
x=3, y=2 or -2
x=-3, y=2 or -2
(3, 2) (3, -2) (-3, 2) (-3, -2)