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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