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Problemas populares de Geometry

x^2-4y^2-4>= 0	x^{2}-4y^{2}-4\ge\:0
9x^2-4y^2-72x+8y+176=0	9x^{2}-4y^{2}-72x+8y+176=0
((y-k)^2)/(a^2)-((x-h)^2)/(b^2)=1	\frac{(y-k)^{2}}{a^{2}}-\frac{(x-h)^{2}}{b^{2}}=1
solvefor x,(x-2)^2+(x-3)^2=r(x)^2	solvefor\:x,(x-2)^{2}+(x-3)^{2}=r(x)^{2}
x^2-y^2+2=0	x^{2}-y^{2}+2=0
4x^2-y^2=4	4x^{2}-y^{2}=4
(y^2)/(36)-(x^2)/(16)=1	\frac{y^{2}}{36}-\frac{x^{2}}{16}=1
y^2-2x^2=4	y^{2}-2x^{2}=4
-4x^2+7y^2+8x+42y+31=0	-4x^{2}+7y^{2}+8x+42y+31=0
4x^2-4y^2-4x+8y-19=0	4x^{2}-4y^{2}-4x+8y-19=0
25x^2-16y^2=400	25x^{2}-16y^{2}=400
9x^2-36y^2=324	9x^{2}-36y^{2}=324
((x-h)^2)/(a^2)-((y-k)^2)/(b^2)=1	\frac{(x-h)^{2}}{a^{2}}-\frac{(y-k)^{2}}{b^{2}}=1
64y^2-36x^2=2304	64y^{2}-36x^{2}=2304
4x^2+6y-32x-y^2+39=0	4x^{2}+6y-32x-y^{2}+39=0
(x^2)/4-((y+3)^2)/9 =1	\frac{x^{2}}{4}-\frac{(y+3)^{2}}{9}=1
x^2-y^2=100	x^{2}-y^{2}=100
((x+1)^2)/9-((y-3)^2)/(16)=1	\frac{(x+1)^{2}}{9}-\frac{(y-3)^{2}}{16}=1
(y^2}{36}-\frac{x^2)/4 =1	\frac{y^{2}}{36}-\frac{x^{2}}{4}=1
25x^2-4y^2=100	25x^{2}-4y^{2}=100
9x^2-y^2=36	9x^{2}-y^{2}=36
4x^2-9y^2-16x+18y-7=0	4x^{2}-9y^{2}-16x+18y-7=0
10x^2-4y^2-8x-10y-12=0	10x^{2}-4y^{2}-8x-10y-12=0
y^2-4x^2=16	y^{2}-4x^{2}=16
x^2-4y^2+2x+8y-7=0	x^{2}-4y^{2}+2x+8y-7=0
((x^{(2)}))/((16)+(y-4)^{(2))}=1	\frac{(x^{(2)})}{(16)+(y-4)^{(2)}}=1
-9x^2+25y^2-100y-125=0	-9x^{2}+25y^{2}-100y-125=0
(x^2)/(25)-(y^2)/(11)=1	\frac{x^{2}}{25}-\frac{y^{2}}{11}=1
4x^2-9y^2+32x+36y+64=0	4x^{2}-9y^{2}+32x+36y+64=0
4y^2-x^2-12y-16x+16=0	4y^{2}-x^{2}-12y-16x+16=0
-4x^2+y^2=16	-4x^{2}+y^{2}=16
y^2-x^2=9	y^{2}-x^{2}=9
(y^2)/(25)-(x^2)/(144)=1	\frac{y^{2}}{25}-\frac{x^{2}}{144}=1
3x^2-y^2-18x+4y+11=0	3x^{2}-y^{2}-18x+4y+11=0
4x^2-y^2=-16	4x^{2}-y^{2}=-16
25y^2-16x^2=400	25y^{2}-16x^{2}=400
x^2-y^2=10	x^{2}-y^{2}=10
6x^2-3y^2+12x-18y-3=0	6x^{2}-3y^{2}+12x-18y-3=0
x^2-y^2-4x+4y+9=0	x^{2}-y^{2}-4x+4y+9=0
y^2=x^2-4x	y^{2}=x^{2}-4x
((x+1)^2)/(25)-((y-4)^2)/(144)=1	\frac{(x+1)^{2}}{25}-\frac{(y-4)^{2}}{144}=1
2x^2-3y^2=6	2x^{2}-3y^{2}=6
x^2-4y^2-4=0	x^{2}-4y^{2}-4=0
16x^2-96x-y^2-2y+139=0	16x^{2}-96x-y^{2}-2y+139=0
y=x^2-y^2	y=x^{2}-y^{2}
y^2=x^2+196	y^{2}=x^{2}+196
4x^2-25y^2=100	4x^{2}-25y^{2}=100
(x-2)^2-(y-1)^2=9	(x-2)^{2}-(y-1)^{2}=9
25x^2+10918x-25y^2-29y=2321	25x^{2}+10918x-25y^{2}-29y=2321
100x^2+112952x-100y^2-106y=48838	100x^{2}+112952x-100y^{2}-106y=48838
((x+2)^2)/(25)-((y-1)^2)/(144)=1	\frac{(x+2)^{2}}{25}-\frac{(y-1)^{2}}{144}=1
9x^2-4y^2+18x-24y+9=0	9x^{2}-4y^{2}+18x-24y+9=0
x^2-y^2+8x-2y+14=0	x^{2}-y^{2}+8x-2y+14=0
x^2-y^2=5	x^{2}-y^{2}=5
y^2-x^2=2	y^{2}-x^{2}=2
x^2-4y^2-4x+8y-16=0	x^{2}-4y^{2}-4x+8y-16=0
6y^2-4x^2+xsqrt(2)+1=0	6y^{2}-4x^{2}+x\sqrt{2}+1=0
y^2=x^2+2x-3	y^{2}=x^{2}+2x-3
(y^2)/9-(x^2)/(25)=1	\frac{y^{2}}{9}-\frac{x^{2}}{25}=1
(x^2)/9-(y^2)/(49)=1	\frac{x^{2}}{9}-\frac{y^{2}}{49}=1
(y^2}{16}-\frac{x^2)/1 =1	\frac{y^{2}}{16}-\frac{x^{2}}{1}=1
x^2-y^2=40	x^{2}-y^{2}=40
x^2-3y^2+12=0	x^{2}-3y^{2}+12=0
25x^2-4y^2+50x+8y+121=0	25x^{2}-4y^{2}+50x+8y+121=0
x^2-y^2=12	x^{2}-y^{2}=12
x^2-y^2=17	x^{2}-y^{2}=17
((x-5)^2)/1-((y-4)^2)/1 =1	\frac{(x-5)^{2}}{1}-\frac{(y-4)^{2}}{1}=1
y^2-y-x^2=0	y^{2}-y-x^{2}=0
((x-7)^2)/(64)-((y-6)^2)/(36)=1	\frac{(x-7)^{2}}{64}-\frac{(y-6)^{2}}{36}=1
(y^2)/(144)-(x^2)/(25)=1	\frac{y^{2}}{144}-\frac{x^{2}}{25}=1
25y^2-x^2=100	25y^{2}-x^{2}=100
p^2+p=q^2	p^{2}+p=q^{2}
9x^2-4y^2-36=0	9x^{2}-4y^{2}-36=0
9x^2-16y^2-108x+128y+212=0	9x^{2}-16y^{2}-108x+128y+212=0
x^2-4y^2=36	x^{2}-4y^{2}=36
-25x^2+9y^2=225	-25x^{2}+9y^{2}=225
9y^2-25x^2=225	9y^{2}-25x^{2}=225
((x-5)^2)/4-((y+1)^2)/(49)=1	\frac{(x-5)^{2}}{4}-\frac{(y+1)^{2}}{49}=1
4(y-3)^2-9(x-2)^2=36	4(y-3)^{2}-9(x-2)^{2}=36
(x^2)/(25)-(y^2)/(144)=1	\frac{x^{2}}{25}-\frac{y^{2}}{144}=1
36x^2-y^2-216x+10y+263=0	36x^{2}-y^{2}-216x+10y+263=0
x^2-4y^2+8y-8=0	x^{2}-4y^{2}+8y-8=0
(x^2)/(16)-((y+4)^2)/(81)=1	\frac{x^{2}}{16}-\frac{(y+4)^{2}}{81}=1
9x^2-4y^2-36x+8y-4=0	9x^{2}-4y^{2}-36x+8y-4=0
y^2=x^2-2	y^{2}=x^{2}-2
16x^2-20y^2-320=0	16x^{2}-20y^{2}-320=0
5x^2-2y^2+10x-12y=23	5x^{2}-2y^{2}+10x-12y=23
y^2-9x^2=4	y^{2}-9x^{2}=4
4x^2-9y^2+3x+18y+91=0	4x^{2}-9y^{2}+3x+18y+91=0
x^2-y^2-9=0	x^{2}-y^{2}-9=0
y^2+2y=4x^2+3	y^{2}+2y=4x^{2}+3
10y^2-9x^2=80	10y^{2}-9x^{2}=80
((x-1)^2)/4-((y+3)^2)/(16)=1	\frac{(x-1)^{2}}{4}-\frac{(y+3)^{2}}{16}=1
x^2-2y^2+4x+4y+4=0	x^{2}-2y^{2}+4x+4y+4=0
-x^2+4y^2+2x+24y+31=0	-x^{2}+4y^{2}+2x+24y+31=0
9x^2-16y^2-18x+64y-199=0	9x^{2}-16y^{2}-18x+64y-199=0
3631+896x-54y=9y^2-64x^2	3631+896x-54y=9y^{2}-64x^{2}
4x^2-16y^2-64=0	4x^{2}-16y^{2}-64=0
3y^2-3x^2-15=0	3y^{2}-3x^{2}-15=0
(x^2)/9-9y^2=1	\frac{x^{2}}{9}-9y^{2}=1

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