РЕБЯТА,ПОМОГИТЕ,СРОЧНО!!! 100 БАЛЛОВ! 1,2,3,4,5 номера!!!

1.(1;2) 2.[latex] \left \{ {{5x+y=61} \atop {5x-y=-11}} \right. [/latex] 10x=50 x=5 [latex] \left \{ {{x=5} \atop {y=5*5+11}} \right. [/latex][latex] \left \{ {{y=36} \atop {x=7,2}} \right. [/latex] Ответ: (5;36)3. [latex] \left \{ {{ x^{2} + y^{2} =61} \atop { x^{2} - y^{2} =-11}} \right. [/latex] Пусть y²-y', x²-x' тогда [latex] \left \{ {{x'+y'=61} \atop {x'-y'=-11}} \right. [/latex] 2x'=50 [latex] \left \{ {{x'=25} \atop {y'=61-25}} \right. [/latex][latex] \left \{ {{y'=36} \atop {x'=25}} \right. [/latex] x=√x' [latex] \left \{ {{x= \sqrt{x'} } \atop {y= \sqrt{y'}}} \right. [/latex][latex] \left \{ {{y=6} \atop {x=5}} \right. [/latex] или [latex] \left \{ {{y=-6} \atop {x=-5}} \right. [/latex] Ответ(5;6),(-5;-6). 4. Ответ: 12 5.[latex] \left \{ {{y= x^{2} -36} \atop { x^{2} + y^{2} =36 }} \right. [/latex] [latex] \left \{ {{y-x^{2} =-36} \atop { x^{2} + y^{2} =36 }} \right. [/latex] y²+y=0 y(y+1)=0 y"=-1 [latex] \left \{ {{y'₁=0} \atop {x'₁=6}} \right. \left \{ {{y'₂=0} \atop {x'₂=-6}} \right. [/latex] [latex] \left \{ {{y"₁=-1} \atop {x"₁= \sqrt{36-1} }} \right. [/latex] [latex] \left \{ {{y"₂=-1} \atop {x"= \sqrt{35 }} \right. \left \{ {{y"₂=-1} \atop {x"=- \sqrt{35} }} \right. [/latex] Ответ:(0;6), (0;-6) , (-1, √35) ,(-1; -√35)