Let x represent one number and let y represent the other number. Use the given conditions to write a system of nonlinear equations. Solve the system and find the numbers.
-The sum of two squares of two numbers is 29, and the difference of their squares is 21. Find the numbers.
A)5 and 2; -5 and 2; 5 and -2
B)5 and 2
C)5 and 2; -5 and 2; 5 and -2; -5 and -2
D)5 and 2; -5 and -2

Question

Quizplus · Accepted Answer

The system of equations based on the given conditions is $x^2 + y^2 = 29$ and $x^2 - y^2 = 21$. Solving this system yields the pairs (5, 2), (-5, 2), (5, -2), and (-5, -2) as solutions, considering both equations represent circles and hyperbolas respectively, and their intersections give these pairs of numbers.

Let X Represent One Number and Let Y Represent the Other