Solve the problem.
-The sum of the squares of two numbers is 97. The difference of the two numbers is -5. Find the twonumbers.
A)4 and 9 or -9 and -4
B)4and 9
C)-9 and -4
D)-4 and 9 or -9 and 4

Question

Quizplus · Accepted Answer

Let the two numbers be x and y. According to the problem, $x^2 + y^2 = 97$ and $x - y = -5$. Solving these equations simultaneously, we find that the pairs of numbers that satisfy both conditions are 4 and 9 or their negatives, -9 and -4.

Solve the Problem. -The Sum of the Squares of Two Numbers Is 97