Solve Problems Using Systems of Nonlinear Equations
-The difference between the squares of two numbers is 108 . Twice the square of the second number subtracted from the square of the first number is 72 . Find the numbers.
A) 12 and $6 ; - 12$ and $6 ; 12$ and $- 6 ; - 12$ and $- 6$
B) 12 and 6
C) 12 and $6 ; - 12$ and $- 6$
D) 12 and $6 ; - 12$ and $6 ; 12$ and $- 6$

Question

Quizplus · Accepted Answer

The system of equations derived from the problem statements is $x^2 - y^2 = 108$ and $x^2 - 2y^2 = 72$. Solving this system yields the solutions $x = 12, y = 6$ and $x = -12, y = -6$, as well as their opposites due to the symmetric nature of the equations, making all four combinations valid.

Solve Problems Using Systems of Nonlinear Equations -The Difference Between 6;−126 ; - 126;−12

Solve Problems Using Systems of Nonlinear Equations
-The Difference Between $6 ; - 12$