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Problemas populares Geometría

9x^{(2)}+25y^{(2)}+18x+150y+9=0	9x^{(2)}+25y^{(2)}+18x+150y+9=0
(y^2)/4+(x^2)/9 =1	\frac{y^{2}}{4}+\frac{x^{2}}{9}=1
9x^2+25y^2+36x-200y+211=0	9x^{2}+25y^{2}+36x-200y+211=0
8x^2+y^2+4y=0	8x^{2}+y^{2}+4y=0
4x^2+6y^2-8x+4y-6>= 0	4x^{2}+6y^{2}-8x+4y-6\ge\:0
25x^2+4y^2+200x-8y+304=0	25x^{2}+4y^{2}+200x-8y+304=0
(x-3)^2+16(y-2)^2=16	(x-3)^{2}+16(y-2)^{2}=16
((2x+1)^2)/4+((3y-2)^2)/(16)=1	\frac{(2x+1)^{2}}{4}+\frac{(3y-2)^{2}}{16}=1
25x^2+49y^2=1225	25x^{2}+49y^{2}=1225
x^2-4x+3y^2=-2	x^{2}-4x+3y^{2}=-2
(x^2)/9+(y^2)/4-1>0	\frac{x^{2}}{9}+\frac{y^{2}}{4}-1>0
(x^2}{20}+\frac{y^2)/2 =1	\frac{x^{2}}{20}+\frac{y^{2}}{2}=1
6=4x^2+y^2+1	6=4x^{2}+y^{2}+1
9y^2=25(3-x)(3+x)	9y^{2}=25(3-x)(3+x)
16(x-1)^2+25(y-4)^2=400	16(x-1)^{2}+25(y-4)^{2}=400
49x^2+25y^2=1225	49x^{2}+25y^{2}=1225
4(x-1)^2+25(y-3)^2=1	4(x-1)^{2}+25(y-3)^{2}=1
(4/(sqrt(9-x^2-y^2)))^2=16	(\frac{4}{\sqrt{9-x^{2}-y^{2}}})^{2}=16
(x^2}{16}+\frac{(y-2)^2)/9 =1	\frac{x^{2}}{16}+\frac{(y-2)^{2}}{9}=1
(x^2)/(a^2)+(y^2)/((a-16))=1	\frac{x^{2}}{a^{2}}+\frac{y^{2}}{(a-16)}=1
11x^2+13y^2-143=0	11x^{2}+13y^{2}-143=0
x^2+3y^2-12y+9=0	x^{2}+3y^{2}-12y+9=0
4x^2+9y^2-40x+36y+100=0	4x^{2}+9y^{2}-40x+36y+100=0
x^2+3y^2=7	x^{2}+3y^{2}=7
((x-42)^2)/(12)+((y-20)^2)/(27)=1	\frac{(x-42)^{2}}{12}+\frac{(y-20)^{2}}{27}=1
16x^2+25(y+3)^2=1600	16x^{2}+25(y+3)^{2}=1600
((x-(-1.32))^2)/(3.78)+(y^2)/(1.56)=2	\frac{(x-(-1.32))^{2}}{3.78}+\frac{y^{2}}{1.56}=2
(x^2)/(16)-x/8+9y^2-18y+17/2 =0	\frac{x^{2}}{16}-\frac{x}{8}+9y^{2}-18y+\frac{17}{2}=0
12x^2+y^2=16	12x^{2}+y^{2}=16
3x^2+y^2-2x+60y+116=x-2y-4	3x^{2}+y^{2}-2x+60y+116=x-2y-4
(x^2)/(5^2)+(y^2)/(3^2)=1	\frac{x^{2}}{5^{2}}+\frac{y^{2}}{3^{2}}=1
4x^2+y^2+8x+4y-8=0	4x^{2}+y^{2}+8x+4y-8=0
0=4-x^2-2y^2	0=4-x^{2}-2y^{2}
x^264+y^249=1	x^{2}64+y^{2}49=1
((x+1)^2)/(16)+((y+1)^2)/(25)=1	\frac{(x+1)^{2}}{16}+\frac{(y+1)^{2}}{25}=1
((x-1)^2)/(13)+((y+5)^2)/(12)=1	\frac{(x-1)^{2}}{13}+\frac{(y+5)^{2}}{12}=1
x^2+2y^2-8y-32=0	x^{2}+2y^{2}-8y-32=0
(x^2)/(324)+(y^2)/(400)=1	\frac{x^{2}}{324}+\frac{y^{2}}{400}=1
3x^2+4y^2-12x=36	3x^{2}+4y^{2}-12x=36
6x^2+8y^2=48	6x^{2}+8y^{2}=48
9x^2+25y^2-150y=0	9x^{2}+25y^{2}-150y=0
x^2+2z^2=1	x^{2}+2z^{2}=1
(x^2)/1+(y^2)/(64)=1	\frac{x^{2}}{1}+\frac{y^{2}}{64}=1
(x^2)/7+(y^2)/3 =1	\frac{x^{2}}{7}+\frac{y^{2}}{3}=1
16x^2+25y^2-1600=0	16x^{2}+25y^{2}-1600=0
9y^2+16x^2-90y-96x+225=0	9y^{2}+16x^{2}-90y-96x+225=0
3x^2+2y^2-12=0	3x^{2}+2y^{2}-12=0
(y^2)/(16)+(x^2)/(25)=1	\frac{y^{2}}{16}+\frac{x^{2}}{25}=1
((x-2)^2)/(2/(sqrt(3)))+((y-1)^2)/(16)=1	\frac{(x-2)^{2}}{\frac{2}{\sqrt{3}}}+\frac{(y-1)^{2}}{16}=1
(x^2)/(36)+(y^2)/(121)=1	\frac{x^{2}}{36}+\frac{y^{2}}{121}=1
(x+8)^2+((y+1)/2)^2=3	(x+8)^{2}+(\frac{y+1}{2})^{2}=3
4x^2+y^2-8x+6y+9=0	4x^{2}+y^{2}-8x+6y+9=0
((x+3)^2)/(24)+((y-5)^2)/(49)=1	\frac{(x+3)^{2}}{24}+\frac{(y-5)^{2}}{49}=1
((x+3)^2)/(64)+((y-6)^2)/(100)=1	\frac{(x+3)^{2}}{64}+\frac{(y-6)^{2}}{100}=1
16-x^2-9y^2=0	16-x^{2}-9y^{2}=0
256x^2-800x+625=400x^2-800x+400y^2+400	256x^{2}-800x+625=400x^{2}-800x+400y^{2}+400
-2=(2x)/(x^2+y^2)	-2=\frac{2x}{x^{2}+y^{2}}
16-x^2-9y^2>0	16-x^{2}-9y^{2}>0
8x^2-96x+18y^2+144y+288=0	8x^{2}-96x+18y^{2}+144y+288=0
2x^2+49y^2=98	2x^{2}+49y^{2}=98
4x^2+9y^2-40x+54y+1+5=0	4x^{2}+9y^{2}-40x+54y+1+5=0
9x^2+4y^2-18x+16y-119=0	9x^{2}+4y^{2}-18x+16y-119=0
25x^2+9y^2-100x+18x-116=0	25x^{2}+9y^{2}-100x+18x-116=0
x^2+2x+4y^2-16y+1=0	x^{2}+2x+4y^{2}-16y+1=0
x^2+2y^2+5x-2y-1=0	x^{2}+2y^{2}+5x-2y-1=0
((x^2))/(16)+((y^2))/(25)=1	\frac{(x^{2})}{16}+\frac{(y^{2})}{25}=1
((x^2)/9)+((y^2)/(16))=1	(\frac{x^{2}}{9})+(\frac{y^{2}}{16})=1
16x^2+25y^2+160x+200y+400=0	16x^{2}+25y^{2}+160x+200y+400=0
36x^2+5y^2+216x-60y+324=0	36x^{2}+5y^{2}+216x-60y+324=0
x^2+4y^2+8x+9y-9=0	x^{2}+4y^{2}+8x+9y-9=0
17x^2+10^2x+10y^2+80y+143=0	17x^{2}+10^{2}x+10y^{2}+80y+143=0
169x^2+144y^2-338x-864y-22871=0	169x^{2}+144y^{2}-338x-864y-22871=0
x^2+y^2<2y	x^{2}+y^{2}<2y
25x^2+50y^2=25	25x^{2}+50y^{2}=25
(4x^2)/(25)+(9y^2)/(25)=1	\frac{4x^{2}}{25}+\frac{9y^{2}}{25}=1
((x-2)^2}{12}+\frac{(y+5)^2)/8 =1	\frac{(x-2)^{2}}{12}+\frac{(y+5)^{2}}{8}=1
(y+2)^2=1-2(x+1)^2	(y+2)^{2}=1-2(x+1)^{2}
9x^2+36y^2+18x-360y+585=0	9x^{2}+36y^{2}+18x-360y+585=0
(x^2)/(49)+(y^2)/(24)=1	\frac{x^{2}}{49}+\frac{y^{2}}{24}=1
16x^2+25y^2-64x-336=0	16x^{2}+25y^{2}-64x-336=0
x^2+2y^2-4y=6	x^{2}+2y^{2}-4y=6
2x^2+4y^2=1	2x^{2}+4y^{2}=1
((x+1)^2}{25}+\frac{(y+2)^2)/9 =1	\frac{(x+1)^{2}}{25}+\frac{(y+2)^{2}}{9}=1
4x^2+9y^2-16x-54y+61=0	4x^{2}+9y^{2}-16x-54y+61=0
9x^2+25y^2-100y-125=0	9x^{2}+25y^{2}-100y-125=0
x^2+4y^2+10x+10y-8=0	x^{2}+4y^{2}+10x+10y-8=0
(x^2)/(25)+(z^2)/(64)=1	\frac{x^{2}}{25}+\frac{z^{2}}{64}=1
x^2+4y^2+20x-40y=-100	x^{2}+4y^{2}+20x-40y=-100
a^2+2b^2=10	a^{2}+2b^{2}=10
225x^2+576y^2=176400	225x^{2}+576y^{2}=176400
4x^2+6y^2+4x-24y=24	4x^{2}+6y^{2}+4x-24y=24
2x^2+4y^2=5	2x^{2}+4y^{2}=5
9x^2+4y^2<= 36	9x^{2}+4y^{2}\le\:36
(x^2)/(36)+(y^2)/(20)=1	\frac{x^{2}}{36}+\frac{y^{2}}{20}=1
16x^2+9y^2+160x-72y+544=144	16x^{2}+9y^{2}+160x-72y+544=144
((x+3)^2)/(100)+((y+4)^2)/(32)=1	\frac{(x+3)^{2}}{100}+\frac{(y+4)^{2}}{32}=1
(x^2)/7+(y^2)/4 =1	\frac{x^{2}}{7}+\frac{y^{2}}{4}=1
((x-2)^2)/5+((y+3)^2)/9 =1	\frac{(x-2)^{2}}{5}+\frac{(y+3)^{2}}{9}=1
4x^2+9y^2-24x+18y+9=0	4x^{2}+9y^{2}-24x+18y+9=0
16x^2+9y^2-64x+54y+1=0	16x^{2}+9y^{2}-64x+54y+1=0

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