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Problemas populares de Geometry

((x-4)^2)/(24)+((y-2)^2)/(49)=1	\frac{(x-4)^{2}}{24}+\frac{(y-2)^{2}}{49}=1
5x^2+2y^2-10x+18y-10=0	5x^{2}+2y^{2}-10x+18y-10=0
(x^2+y^2-x)/(2x-x^2-y^2)>0	\frac{x^{2}+y^{2}-x}{2x-x^{2}-y^{2}}>0
(x-2)^2+9(y-1)^2=9	(x-2)^{2}+9(y-1)^{2}=9
16x^2+32x+9y^2+72y+16=0	16x^{2}+32x+9y^{2}+72y+16=0
x^2+y^2=12y	x^{2}+y^{2}=12y
2x^2+y^2=10	2x^{2}+y^{2}=10
4x^{(2)}+9y^{(2)}=2	4x^{(2)}+9y^{(2)}=2
((x-2)^2)/4+((y+2)^2)/9 =1	\frac{(x-2)^{2}}{4}+\frac{(y+2)^{2}}{9}=1
3y^2+3x^2-12y=0	3y^{2}+3x^{2}-12y=0
25x^2+4y^2=99	25x^{2}+4y^{2}=99
y=4(x^2+y^2)	y=4(x^{2}+y^{2})
2x^2+2y^2-20y=0	2x^{2}+2y^{2}-20y=0
4x^2+3y^2+8x-6y-41=0	4x^{2}+3y^{2}+8x-6y-41=0
x^2+4y^2+4y=3	x^{2}+4y^{2}+4y=3
49x^2+16y^2+196x-96y=444	49x^{2}+16y^{2}+196x-96y=444
(x^2)/(16)+((y-2)^2)/(25)=1	\frac{x^{2}}{16}+\frac{(y-2)^{2}}{25}=1
((x-2)^2)/(16)+((y-3)^2)/(25)=1	\frac{(x-2)^{2}}{16}+\frac{(y-3)^{2}}{25}=1
4x^2-2x+y^2-4=0	4x^{2}-2x+y^{2}-4=0
(x^2)/(49)+(y^2)/(81)=1	\frac{x^{2}}{49}+\frac{y^{2}}{81}=1
3x^2+5y^2-6x+2y-9=0	3x^{2}+5y^{2}-6x+2y-9=0
9x^2+25y^2+18x-100y-116=0	9x^{2}+25y^{2}+18x-100y-116=0
(x^2}{24}+\frac{y^2)/9 =1	\frac{x^{2}}{24}+\frac{y^{2}}{9}=1
9x^2+25y^2-36x+50y-164=0	9x^{2}+25y^{2}-36x+50y-164=0
((x-5)^2}{16}+\frac{(y-3)^2)/4-1=0	\frac{(x-5)^{2}}{16}+\frac{(y-3)^{2}}{4}-1=0
2x^2+y^2+2x-3y-2=0	2x^{2}+y^{2}+2x-3y-2=0
4x^2+9y^2-8x-36+4=0	4x^{2}+9y^{2}-8x-36+4=0
x^2+4y^2-10x-40y+121=0	x^{2}+4y^{2}-10x-40y+121=0
2x^2+7y^2-14=0	2x^{2}+7y^{2}-14=0
4x^2+y^2=2	4x^{2}+y^{2}=2
(x^2)/9+(y^2)/3-1=0	\frac{x^{2}}{9}+\frac{y^{2}}{3}-1=0
4y^2+z^2=16	4y^{2}+z^{2}=16
4x^2+y^2=10	4x^{2}+y^{2}=10
4x^2+y^2=25	4x^{2}+y^{2}=25
(y^2)/9+z^2=1	\frac{y^{2}}{9}+z^{2}=1
2x^2+2y^2-40y=0	2x^{2}+2y^{2}-40y=0
(x^2+y^2-x)/(2x-x^2-y^2)>= 0	\frac{x^{2}+y^{2}-x}{2x-x^{2}-y^{2}}\ge\:0
(2y)/(1-x^2-y^2)= 1/2	\frac{2y}{1-x^{2}-y^{2}}=\frac{1}{2}
x^2+4y^2-4=0	x^{2}+4y^{2}-4=0
4x^2+y^2-16x+6y-75=0	4x^{2}+y^{2}-16x+6y-75=0
x^2+5y^2-4x+40y+64=0	x^{2}+5y^{2}-4x+40y+64=0
4x^2-24x+(y^2)/(16)+y/8+573/16 =0	4x^{2}-24x+\frac{y^{2}}{16}+\frac{y}{8}+\frac{573}{16}=0
((x+2)^2)/4+((y-7)^2)/(49)=1	\frac{(x+2)^{2}}{4}+\frac{(y-7)^{2}}{49}=1
((x-2)^2)/(64)+((y+4)^2)/(16)=1	\frac{(x-2)^{2}}{64}+\frac{(y+4)^{2}}{16}=1
25x^2+16y^2-250x-32y+241=0	25x^{2}+16y^{2}-250x-32y+241=0
9x^2+5y^2=45	9x^{2}+5y^{2}=45
((x-1)^2)/9+((y-2)^2)/4 =1	\frac{(x-1)^{2}}{9}+\frac{(y-2)^{2}}{4}=1
25x^2+12y^2+20x-12y=4	25x^{2}+12y^{2}+20x-12y=4
9x^2+4y^2-18x+24y+9=0	9x^{2}+4y^{2}-18x+24y+9=0
(((x+3))/(16))^2+((y-5)^2)/(25)=1	(\frac{(x+3)}{16})^{2}+\frac{(y-5)^{2}}{25}=1
-4x^2-7y^2>-28	-4x^{2}-7y^{2}>-28
1/4 (x-2)^2+1/16 (y+7)^2=1	\frac{1}{4}(x-2)^{2}+\frac{1}{16}(y+7)^{2}=1
4=x^2+9y^2	4=x^{2}+9y^{2}
1x^2+3y^2+9x+9y-12=0	1x^{2}+3y^{2}+9x+9y-12=0
(y^2)/4+(x^2)/(16)=1	\frac{y^{2}}{4}+\frac{x^{2}}{16}=1
9x^2+4y^2+8x+48y=-117	9x^{2}+4y^{2}+8x+48y=-117
2x^2+9y^2=18	2x^{2}+9y^{2}=18
25-x^2-y^2=e^4	25-x^{2}-y^{2}=e^{4}
9x^2+y^2=36	9x^{2}+y^{2}=36
25x^2+49y^2+100x-392y-341=0	25x^{2}+49y^{2}+100x-392y-341=0
9x^2+25y^2-6x-25y-19=0	9x^{2}+25y^{2}-6x-25y-19=0
(x^2)/(15)+(y^2)/(16)=1	\frac{x^{2}}{15}+\frac{y^{2}}{16}=1
(x^2)/5+(y^2)/4 =1	\frac{x^{2}}{5}+\frac{y^{2}}{4}=1
64x^2+49y^2=3136	64x^{2}+49y^{2}=3136
(x^2)/(49)+(y^2)/(64)=1	\frac{x^{2}}{49}+\frac{y^{2}}{64}=1
4x^2+25y^2+40x-150y+225=0	4x^{2}+25y^{2}+40x-150y+225=0
4(x-5)^2+9(y+2)^2=36	4(x-5)^{2}+9(y+2)^{2}=36
3x^2+4y^2-28x-16y+48=0	3x^{2}+4y^{2}-28x-16y+48=0
4x^2+8x+9(y-2)^2=32	4x^{2}+8x+9(y-2)^{2}=32
((x+3)^2)/4+((y-3)^2)/(16)=1	\frac{(x+3)^{2}}{4}+\frac{(y-3)^{2}}{16}=1
16x^2+64x+4y^2-8y+4=0	16x^{2}+64x+4y^{2}-8y+4=0
((x-3)^2)/4+((y+1)^2)/9 =1	\frac{(x-3)^{2}}{4}+\frac{(y+1)^{2}}{9}=1
49x^2+4y^2=196	49x^{2}+4y^{2}=196
18y^2+24y+12x^2-12x=1	18y^{2}+24y+12x^{2}-12x=1
x^2+2y^2-2x-4y=-1	x^{2}+2y^{2}-2x-4y=-1
2x^2+y^2<= 1	2x^{2}+y^{2}\le\:1
(x^2)/(7^2)+(y^2)/(3^2)=1	\frac{x^{2}}{7^{2}}+\frac{y^{2}}{3^{2}}=1
16x^2+25y^2-64x+150y=-279	16x^{2}+25y^{2}-64x+150y=-279
4x^2+y^2-40x+4y+68=0	4x^{2}+y^{2}-40x+4y+68=0
x^2+2x=-4y^2+12y+7	x^{2}+2x=-4y^{2}+12y+7
x^2+3y^2+10x+9y-20=0	x^{2}+3y^{2}+10x+9y-20=0
((x+1)^2)/(32)+((y+5)^2)/(36)=1	\frac{(x+1)^{2}}{32}+\frac{(y+5)^{2}}{36}=1
((x-6)^2)/(122)+((y-8)^2)/(12200/121)=1	\frac{(x-6)^{2}}{122}+\frac{(y-8)^{2}}{\frac{12200}{121}}=1
(x^2)/3+(y^2)/2 =1	\frac{x^{2}}{3}+\frac{y^{2}}{2}=1
x^2+16y^2+4x-32y-44=0	x^{2}+16y^{2}+4x-32y-44=0
16x^2+2y^2-64x+150y-11=0	16x^{2}+2y^{2}-64x+150y-11=0
25x^2+16y^2=1	25x^{2}+16y^{2}=1
3x^2+7y^2=63	3x^{2}+7y^{2}=63
4x^2+32x+9y^2+36y+64=0	4x^{2}+32x+9y^{2}+36y+64=0
(x^2)/9+((y+5)^2)/(25)=1	\frac{x^{2}}{9}+\frac{(y+5)^{2}}{25}=1
((x-2)^2)/9+((y+3)^2)/(10)=1	\frac{(x-2)^{2}}{9}+\frac{(y+3)^{2}}{10}=1
(x^2)/(16)+(y^2)/(64)=1	\frac{x^{2}}{16}+\frac{y^{2}}{64}=1
4x^2+3y^2-5x+2y+1=0	4x^{2}+3y^{2}-5x+2y+1=0
36-9x^2-4y^2>0	36-9x^{2}-4y^{2}>0
(x^2)/4+(y^2)/(10)=1	\frac{x^{2}}{4}+\frac{y^{2}}{10}=1
0=36-9x^2-4y^2	0=36-9x^{2}-4y^{2}
4x^2+y^2+8x-10y+25=0	4x^{2}+y^{2}+8x-10y+25=0
9x^{(2)}+25y^{(2)}-36x+50y-839=0	9x^{(2)}+25y^{(2)}-36x+50y-839=0
(x^2)/4+z^2=1	\frac{x^{2}}{4}+z^{2}=1
16x^2-96x+4y^2=-80	16x^{2}-96x+4y^{2}=-80

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