Use the Given Substitutions to Convert the Equation to a (U

question 33

Multiple Choice

Use the given substitutions to convert the equation to a (u, v) equation with no cross-product term.
- $5 x ^ { 2 } - 6 x y + 5 y ^ { 2 } - 8 = 0 ;$ use $x = u / \sqrt { 2 } - v / \sqrt { 2 }$ and $y = u / \sqrt { 2 } + v / \sqrt { 2 }$

• A) \(u ^ { 2 } + v ^ { 2 } = 4\)
• B) \(u ^ { 2 } + 4 v ^ { 2 } = 4\)
• C) \(u ^ { 2 } + 4 v ^ { 2 } = 1\)
• D) \(u ^ { 2 } + 8 v ^ { 2 } = 4\)

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Definitions:

Undo

A command in computer software that reverses the last command or action performed, allowing users to revert changes.

Reverse

The action or process of inverting the order, direction, or relationship of elements in data or computations.

Redo

An action or command in computer software that reverses the last undo action, effectively reapplying the last change that was undone.

Toggle

A user interface control that allows the user to change a setting between two states.