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

question 145

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Use the given substitutions to convert the equation to a (u, v) equation with no cross-product term.
- 7x2+53xy+2y231=0;7 \mathrm { x } ^ { 2 } + 5 \sqrt { 3 } \mathrm { xy } + 2 \mathrm { y } ^ { 2 } - 31 = 0 ; use x=3u/2v/2x = \sqrt { 3 } \mathrm { u } / 2 - \mathrm { v } / 2 and y=u/2+3v/2\mathrm { y } = \mathrm { u } / 2 + \sqrt { 3 } \mathrm { v } / 2

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