Solve Nonlinear Systems by Addition
Solve the System by the Addition

question 42

Multiple Choice

Solve Nonlinear Systems By Addition
Solve the system by the addition method.
- $$2 x ^ { 2 } + x y - y ^ { 2 } = 3$$
$x ^ { 2 } + 2 x y + y ^ { 2 } = 3$

• A) \(\left. \left\{ \left( \frac { 2 \sqrt { 3 } } { 3 } , \frac { \sqrt { 3 } } { 3 } \right) , - \frac { 2 \sqrt { 3 } } { 3 } , - \frac { \sqrt { 3 } } { 3 } \right) \right\}\)
• B) \(\left\{ \left( \frac { 2 \sqrt { 3 } } { 3 } , - \frac { \sqrt { 3 } } { 3 } \right) , \left( - \frac { 2 \sqrt { 3 } } { 3 } , \frac { \sqrt { 3 } } { 3 } \right) \right\}\)
• C) \(\left\{ \left( \frac { - 2 } { 3 } , \frac { 1 } { 3 } \right) , \left( \frac { 2 \sqrt { 3 } } { 3 } , - \frac { 1 } { 3 } \right) \right\}\)
• D) \(\left\{ \left( \frac { - 2 } { 3 } , - \frac { 1 } { 3 } \right) , \left( \frac { 2 \sqrt { 3 } } { 3 } , \frac { 1 } { 3 } \right) \right\}\)

---

Definitions:

Brand Dilution

The weakening of a brand's power or the diminishing of its perceived value due to overextension, poor marketing decisions, or association with lower quality products.

Brand Extension

A marketing strategy where a company uses an existing brand name to launch a new product in a different category, leveraging brand equity.

Complementary Goods

Products or services that enhance or are necessary for the use of another product, such as printers and ink cartridges.

Generic Goods

Products that are not branded and are sold without any trademark or logo. They are typically characterized by lower prices and are considered equivalent in quality to branded products in many cases.