Determine the Real Solutions to the System of Nonlinear Equations $$y ^ { 2 } + 2 x ^ { 2 } = 28$$

question 97

Multiple Choice

Determine the real solutions to the system of nonlinear equations.
- $$y ^ { 2 } + 2 x ^ { 2 } = 28$$
$y ^ { 2 } - x ^ { 2 } = 1$

• A) \(( 3 , \sqrt { 10 } ) , ( 3 , - \sqrt { 10 } ) , ( - 3 , \sqrt { 10 } ) , ( - 3 , - \sqrt { 10 } )\)
• B) \(( 4 , \sqrt { 10 } ) , ( 4 , - \sqrt { 10 } )\)
• C) \(( 4 , \sqrt { 10 } ) , ( 4 , - \sqrt { 10 } ) , ( - 4 , \sqrt { 10 } ) , ( - 4 , - \sqrt { 10 } )\)
• D) \(( 3 , \sqrt { 10 } ) , ( 3 , - \sqrt { 10 } )\)

---

Definitions:

Budgeting Process

A systematic approach where businesses estimate their future income, expenditures, and capital needs to achieve their financial goals.

Selling Price

The amount of money for which a product is sold to the customer, not necessarily reflecting its cost or intrinsic value.

Department Spend

Relates to the total amount of money allocated and spent by a specific department within an organization.

Ensuring Budget

A financial plan that is designed to make sure all finances are covered and allocated appropriately for a certain period, often aimed at preventing overspending or deficits.