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Problemas populares Geometría

(x^2)/8+(y^2)/a =1	\frac{x^{2}}{8}+\frac{y^{2}}{a}=1
2x^2+4y^2+6x-8y-5=0	2x^{2}+4y^{2}+6x-8y-5=0
1-x^2-y^2=5	1-x^{2}-y^{2}=5
(x^2)/(4^2)+(y^2)/(6^2)=1	\frac{x^{2}}{4^{2}}+\frac{y^{2}}{6^{2}}=1
7x^2+y^2=8	7x^{2}+y^{2}=8
4x^2+32x+9y^2-18y+37=0	4x^{2}+32x+9y^{2}-18y+37=0
9(5.66-2)x^2+y^2=36	9(5.66-2)x^{2}+y^{2}=36
((x-4)^2)/(16)+((y+2)^2)/(36)=1	\frac{(x-4)^{2}}{16}+\frac{(y+2)^{2}}{36}=1
y=(2x-4)/(-2y+4)x+6	y=\frac{2x-4}{-2y+4}x+6
x^2+4y^2+9x+10y-14=0	x^{2}+4y^{2}+9x+10y-14=0
((x+1)^2)/4+((y-3/2)^2)/8 =1	\frac{(x+1)^{2}}{4}+\frac{(y-\frac{3}{2})^{2}}{8}=1
((x-2)^2)/(4^2)+((y-3)^2)/(5^2)=1	\frac{(x-2)^{2}}{4^{2}}+\frac{(y-3)^{2}}{5^{2}}=1
25x^2+9y^2-25=0	25x^{2}+9y^{2}-25=0
y^2+5/2 y+(x^2)/4-44=0	y^{2}+\frac{5}{2}y+\frac{x^{2}}{4}-44=0
((x-14)^2)/3+((y-11)^2)/4 =1	\frac{(x-14)^{2}}{3}+\frac{(y-11)^{2}}{4}=1
((x-3)^2)/(64)+((y+1)^2)/(25)=1	\frac{(x-3)^{2}}{64}+\frac{(y+1)^{2}}{25}=1
(x^2}{25}+\frac{y^2)/9 <1	\frac{x^{2}}{25}+\frac{y^{2}}{9}<1
((x+4)^2)/4+((y-2)^2)/3 =1	\frac{(x+4)^{2}}{4}+\frac{(y-2)^{2}}{3}=1
(x^2)/9+(y^2)/(9/25)=1	\frac{x^{2}}{9}+\frac{y^{2}}{\frac{9}{25}}=1
y=4-(x^2)/(4y)	y=4-\frac{x^{2}}{4y}
((x-2)^2)/9+((y+2)^2)/(25)=1	\frac{(x-2)^{2}}{9}+\frac{(y+2)^{2}}{25}=1
x^2+4y^2+10x+8y-13=0	x^{2}+4y^{2}+10x+8y-13=0
25x^2+4y^2-100x+8y+91=0	25x^{2}+4y^{2}-100x+8y+91=0
4x^2+9y^2-54y+45=0	4x^{2}+9y^{2}-54y+45=0
3x^2+4y^2+18x+8y+19=0	3x^{2}+4y^{2}+18x+8y+19=0
(x^2)/2+(y^2)/1 =1	\frac{x^{2}}{2}+\frac{y^{2}}{1}=1
(-x^2)/(2^2)-(y^2)/(4^2)=1	\frac{-x^{2}}{2^{2}}-\frac{y^{2}}{4^{2}}=1
36(x+2)^2+(y-4)^2=72	36(x+2)^{2}+(y-4)^{2}=72
((x-2)^2)/4+(y^2)/(33)=1	\frac{(x-2)^{2}}{4}+\frac{y^{2}}{33}=1
4x^2+3y^2=7	4x^{2}+3y^{2}=7
25x^2+4y^2-250x-16y=-541	25x^{2}+4y^{2}-250x-16y=-541
4x^2+12y^2-4x-24y+1=0	4x^{2}+12y^{2}-4x-24y+1=0
(x^2)/4+x+9y^2+18y+31/4 =0	\frac{x^{2}}{4}+x+9y^{2}+18y+\frac{31}{4}=0
15x^2+9y^2=225	15x^{2}+9y^{2}=225
4x^2+y^2>1	4x^{2}+y^{2}>1
y+x-3=3y^2+2x^2	y+x-3=3y^{2}+2x^{2}
4(x-1)^2+y^2=36	4(x-1)^{2}+y^{2}=36
25(x^2+4x+4)+36(y^2+2y+1)=770	25(x^{2}+4x+4)+36(y^{2}+2y+1)=770
(x^2)/(81)+(y^2)/(144)=1	\frac{x^{2}}{81}+\frac{y^{2}}{144}=1
4x^2+y^2=4y	4x^{2}+y^{2}=4y
(1+y^2)/(1-x^2)=2	\frac{1+y^{2}}{1-x^{2}}=2
(x^2)/(36)+((y+9)^2)/(81)=1	\frac{x^{2}}{36}+\frac{(y+9)^{2}}{81}=1
(x-3)^2+((y+1)^2)/(49)=1	(x-3)^{2}+\frac{(y+1)^{2}}{49}=1
22y^2+32x^2-308y-512x+2.422=0	22y^{2}+32x^{2}-308y-512x+2.422=0
-3y^2-3x^2+5x+10y=5x^2+1	-3y^{2}-3x^{2}+5x+10y=5x^{2}+1
(x+1)^2+((y-1)^2)/(16)=1	(x+1)^{2}+\frac{(y-1)^{2}}{16}=1
10x^2+40x+7y^2+70y+145=0	10x^{2}+40x+7y^{2}+70y+145=0
6=x^2+9y^2	6=x^{2}+9y^{2}
(3x-3)^2+(-2y-4)^2=43+9+16	(3x-3)^{2}+(-2y-4)^{2}=43+9+16
36x^2+81y^2=49	36x^{2}+81y^{2}=49
49x^2+16y^2-784=0	49x^{2}+16y^{2}-784=0
9x^2+4y^2-54x-16y+61=0	9x^{2}+4y^{2}-54x-16y+61=0
(y^2}{16}+\frac{z^2)/9 =1	\frac{y^{2}}{16}+\frac{z^{2}}{9}=1
(x-4)^2+2(y-3)^2=1	(x-4)^{2}+2(y-3)^{2}=1
((x-1)^2)/4+((y+2)^2)/2 =1	\frac{(x-1)^{2}}{4}+\frac{(y+2)^{2}}{2}=1
16x^2+4y^2+16x+49y-81=0	16x^{2}+4y^{2}+16x+49y-81=0
((x-4)^2}{10}+\frac{(y-2)^2)/6 =1	\frac{(x-4)^{2}}{10}+\frac{(y-2)^{2}}{6}=1
9x^2-18x+4y^2-27=0	9x^{2}-18x+4y^{2}-27=0
4x^2+25y^2+8x=96	4x^{2}+25y^{2}+8x=96
((x^2)/(16))+((y^2)/(25))=1	(\frac{x^{2}}{16})+(\frac{y^{2}}{25})=1
X^2+4Y^2-6X-16Y+21=0	X^{2}+4Y^{2}-6X-16Y+21=0
(5p+3q)2=25p^2+9q^2	(5p+3q)2=25p^{2}+9q^{2}
25x^2+9y^2+100x+36y-89=0	25x^{2}+9y^{2}+100x+36y-89=0
(x^2)/4+(1-y/2)^2=1	\frac{x^{2}}{4}+(1-\frac{y}{2})^{2}=1
12x^2+10y^2=120	12x^{2}+10y^{2}=120
25x^2+9y^2-50x+54y-119=0	25x^{2}+9y^{2}-50x+54y-119=0
16x^2+25y^2+64x+150y-111=0	16x^{2}+25y^{2}+64x+150y-111=0
((x-1)^2)/(81)+((y-2)^2)/(25)=1	\frac{(x-1)^{2}}{81}+\frac{(y-2)^{2}}{25}=1
9(x-3)^2+16(y+4)^2=144	9(x-3)^{2}+16(y+4)^{2}=144
16x^2+4y^2=1	16x^{2}+4y^{2}=1
x^2+6y^2+14x-24y+49=0	x^{2}+6y^{2}+14x-24y+49=0
4x^2+9y^2+16x-18y-11=0	4x^{2}+9y^{2}+16x-18y-11=0
-y^2-x^2=1	-y^{2}-x^{2}=1
1/9 x^2+1/16 y^2=1	\frac{1}{9}x^{2}+\frac{1}{16}y^{2}=1
4(x-2)^2+9(y-3)^2=36	4(x-2)^{2}+9(y-3)^{2}=36
(x^2)/(7.5^2)+(y^2)/(9^2)=1	\frac{x^{2}}{7.5^{2}}+\frac{y^{2}}{9^{2}}=1
x^2+4y^2+10x-8y+13=0	x^{2}+4y^{2}+10x-8y+13=0
((x-2)^2)/(16)+((y-2)^2)/(25)=1	\frac{(x-2)^{2}}{16}+\frac{(y-2)^{2}}{25}=1
16x^2+y^2+96x-10y=-153	16x^{2}+y^{2}+96x-10y=-153
x^2+y^2-25=(x+25)/7-y	x^{2}+y^{2}-25=\frac{x+25}{7}-y
((x-4)^2)/9+((y-2)^2)/(25)=1	\frac{(x-4)^{2}}{9}+\frac{(y-2)^{2}}{25}=1
(x^2)/(1.587^2)+(y^2)/(0.99^2)=1	\frac{x^{2}}{1.587^{2}}+\frac{y^{2}}{0.99^{2}}=1
4x^2+9y^2-144=0	4x^{2}+9y^{2}-144=0
3x^2+2y^2-8=0	3x^{2}+2y^{2}-8=0
1/(4x^2+y^2)=1	\frac{1}{4x^{2}+y^{2}}=1
-1=x^2+(y-1)^2	-1=x^{2}+(y-1)^{2}
(x^2+y^2)/(x^2+(y+1)^2)=16	\frac{x^{2}+y^{2}}{x^{2}+(y+1)^{2}}=16
200=(1000)/(1+x^2+y^2)	200=\frac{1000}{1+x^{2}+y^{2}}
2x^2+2y^2-8y=0	2x^{2}+2y^{2}-8y=0
6x^2+9y^2+54y=60x-87	6x^{2}+9y^{2}+54y=60x-87
16x^2+16y^2=1+2x+x^2	16x^{2}+16y^{2}=1+2x+x^{2}
9x^2+25y^2+36x+150y+36=0	9x^{2}+25y^{2}+36x+150y+36=0
16x^2+25y^2-224x-150y+1009=400	16x^{2}+25y^{2}-224x-150y+1009=400
((x-2)^2)/4+((y+2)^2)/8 =1	\frac{(x-2)^{2}}{4}+\frac{(y+2)^{2}}{8}=1
4x^2+25y^2+24x+250y=-561	4x^{2}+25y^{2}+24x+250y=-561
x^2-8x+16y^2-2y+4=625	x^{2}-8x+16y^{2}-2y+4=625
9x^2+25y^2-36x-50y-164=0	9x^{2}+25y^{2}-36x-50y-164=0
x^2-2x^2-2y^2-12=0	x^{2}-2x^{2}-2y^{2}-12=0
((x-3)^2)/9+((y+4)^2)/4 =1	\frac{(x-3)^{2}}{9}+\frac{(y+4)^{2}}{4}=1
((x-2}{16})^2+(\frac{y+3)/9)^2=1	(\frac{x-2}{16})^{2}+(\frac{y+3}{9})^{2}=1

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