Question
The sum of the squares of two negative numbers is 89 and the difference of the squares of the numbers is 39. Find the numbers
Answers
GPT 3.5
Let's assume the two negative numbers are x and y.
Given:
x^2 + y^2 = 89
x^2 - y^2 = 39
Add the two equations together:
2x^2 = 128
x^2 = 64
x = -8
Substitute x back into the first equation:
64 + y^2 = 89
y^2 = 25
y = -5
Therefore, the two numbers are -8 and -5.
Given:
x^2 + y^2 = 89
x^2 - y^2 = 39
Add the two equations together:
2x^2 = 128
x^2 = 64
x = -8
Substitute x back into the first equation:
64 + y^2 = 89
y^2 = 25
y = -5
Therefore, the two numbers are -8 and -5.