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 difference between the squares of two numbers is 7. Twice the square of the second number subtracted from the square of the first number is -2. Find the numbers.
A)4 and 3; -4 and 3; 4 and -3; -4 and -3
B)4 and 3
C)4 and 3; -4 and -3
D)4 and 3; -4 and 3; 4 and -3

Question

Quizplus · Accepted Answer

The system of equations based on the given conditions is:1) $x^2 - y^2 = 7$2) $x^2 - 2y^2 = -2$Solving this system, we find that the pairs (4, 3), (-4, 3), (4, -3), and (-4, -3) satisfy both equations.