Quadratic Genius

Algebra Level 4

\( If\quad x\quad and\quad y\quad are\quad width\quad and\quad hight\quad of\quad a\quad \\ rectangle\quad respectively,\quad Find\quad the\quad area?\\ **\quad Use\quad real\quad roots\quad **\quad \\ \\ \\ x=\sqrt { \left( 73+2{ y }^{ 2 } \right) \left( { y }^{ -2 }-\frac { 5 }{ 36 } \right) } \\ \\ y={ \left( \frac { \frac { 15 }{ 24 } { x }^{ -2 } }{ 1-\frac { 3 }{ 2 } { x }^{ -1 } } +{ x }^{ -2 } \right) }^{ \frac { -1 }{ 2 } }\\ \\ \\ \sqrt { y-x } =\quad i \)

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