Solve.
-The sum of the squares of two numbers is 106. The difference of the two numbers is 4. Find the two numbers.
A) 5 and 9
B) $- 9$ and $5 ; - 5$ and 9
C) $- 9$ and $- 5 ; 5$ and 9
D) $- 9$ and $- 5$

Question

Solve.
-The sum of the squares of two numbers is 106. The difference of the two numbers is 4. Find the two numbers. 
A) 5 and 9
B) $- 9$ and $5 ; - 5$ and 9
C) $- 9$ and $- 5 ; 5$ and 9
D) $- 9$ and $- 5$

Quizplus · Accepted Answer

Let the two numbers be $x$ and $y$, with $x > y$. According to the given information, we have two equations: $x^2 + y^2 = 106$ and $x - y = 4$. Solving these simultaneously, we find that the pairs of numbers that satisfy both conditions are $(-9, -5)$ and $(9, 5)$.

Solve -The Sum of the Squares of Two Numbers Is −9- 9−9

Solve
-The Sum of the Squares of Two Numbers Is $- 9$