Solve Problems Using Systems of Nonlinear Equations
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 20, and the difference of their squares is 12. Find the numbers.
A)4 and 2; -4 and 2; 4 and -2; -4 and -2
B)4 and 2
C)4 and 2; -4 and -2
D)4 and 2; -4 and 2; 4 and -2

Question

Quizplus · Accepted Answer

The system of equations based on the given conditions is $x^2 + y^2 = 20$ and $x^2 - y^2 = 12$. Solving this system, we find that the pairs of numbers that satisfy both conditions are 4 and 2, -4 and 2, 4 and -2, -4 and -2.