What!!!! What!!!! What!!!

Algebra Level pending

\[Solve:\quad x+2+y+3+\sqrt { (x+2)(x+3) } =\quad 39\]

\[{ (x+2) }^{ 2 }+{ (y+3) }^{ 2 }+(x+2)(y+3)=\quad 741\]

If the answer is \[{ x }_{ 1 },{ y }_{ 1 }\quad and\quad { x }_{ 2 },{ y }_{ 2 }\]

Find \[{ x }_{ 1 }+{ y }_{ 1 }+{ x }_{ 2 }+{ y }_{ 2 }\]

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