Popular Geometry Problems

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Popular Geometry Problems

y^2+4y-3x^2+6x+4=0	y^{2}+4y-3x^{2}+6x+4=0
3x^2-2y^2=4	3x^{2}-2y^{2}=4
(x+y)(x-y)=1	(x+y)(x-y)=1
((y+2)^2)/9-((x+2)^2)/4 =1	\frac{(y+2)^{2}}{9}-\frac{(x+2)^{2}}{4}=1
18x^2-9y^2-96x-36y-36=0	18x^{2}-9y^{2}-96x-36y-36=0
(x^2)/(14)-(y^2)/(20)=1	\frac{x^{2}}{14}-\frac{y^{2}}{20}=1
y^2-2x^2-16=0	y^{2}-2x^{2}-16=0
x^2=2800^2+y^2-2(2800)(y)cos(20)	x^{2}=2800^{2}+y^{2}-2(2800)(y)\cos(20^{\circ\:})
2x+y^2=4	2x+y^{2}=4
x^2-(y-3960)^2=3960^2	x^{2}-(y-3960)^{2}=3960^{2}
10x^2-64y^2-140x+768y-2304=0	10x^{2}-64y^{2}-140x+768y-2304=0
(x^2)/3-(y^2)/9 =1	\frac{x^{2}}{3}-\frac{y^{2}}{9}=1
9x^2-25y^2=49	9x^{2}-25y^{2}=49
4x^2-5y^2+20=0	4x^{2}-5y^{2}+20=0
3x^2-4y^2+y=9(2.1)	3x^{2}-4y^{2}+y=9(2.1)
x^2-4y^2+2x-1y-4=0	x^{2}-4y^{2}+2x-1y-4=0
x^2+11=y^2+6x-2y	x^{2}+11=y^{2}+6x-2y
4x^2-8y^2+6x+12y-82=0	4x^{2}-8y^{2}+6x+12y-82=0
x^2-y^2-3x+4y=0	x^{2}-y^{2}-3x+4y=0
x=y^2+y-1	x=y^{2}+y-1
(x-y)(x+y+6)=-9	(x-y)(x+y+6)=-9
((x-1)^2)/4-((y-2)^2)/(16)=1	\frac{(x-1)^{2}}{4}-\frac{(y-2)^{2}}{16}=1
x^2-y^2-2x-6y-12=0	x^{2}-y^{2}-2x-6y-12=0
16x^2-9y^2+96=0	16x^{2}-9y^{2}+96=0
((x-3)^2)/9-((y+2)^2)/4 =1	\frac{(x-3)^{2}}{9}-\frac{(y+2)^{2}}{4}=1
(((x-2)}{16})^2-\frac{(y+3)^2)/1 =1	(\frac{(x-2)}{16})^{2}-\frac{(y+3)^{2}}{1}=1
(3x-3)^2-(2y-4)^2=43+9+16	(3x-3)^{2}-(2y-4)^{2}=43+9+16
((x-1)^2)/4-((y+2)^2)/9 =1	\frac{(x-1)^{2}}{4}-\frac{(y+2)^{2}}{9}=1
25x^2-36y^2-200x+360y-1400=0	25x^{2}-36y^{2}-200x+360y-1400=0
25y^2-9x^2+18x-50y=241	25y^{2}-9x^{2}+18x-50y=241
(x+3)^2=-6(y-5)	(x+3)^{2}=-6(y-5)
(y^2)/4-(x^2)/6 =1	\frac{y^{2}}{4}-\frac{x^{2}}{6}=1
-4x^2+y^2+10y-11=0	-4x^{2}+y^{2}+10y-11=0
(-x^2)/(16)+(y^2)/(36)=1	\frac{-x^{2}}{16}+\frac{y^{2}}{36}=1
2x^2-4y^2=2^2	2x^{2}-4y^{2}=2^{2}
25x^2+56476x-25y^2-3y=48838	25x^{2}+56476x-25y^{2}-3y=48838
x^2-y^2<72	x^{2}-y^{2}<72
((y^2}{16})-(\frac{x^2)/4)=1	(\frac{y^{2}}{16})-(\frac{x^{2}}{4})=1
(((x^{(2)}))/((81)))-(((y^{(2)}))/((225)))=1	(\frac{(x^{(2)})}{(81)})-(\frac{(y^{(2)})}{(225)})=1
3x^2-y^2-2x-4=0	3x^{2}-y^{2}-2x-4=0
27x^2-36y^2-216x-72y+225=0	27x^{2}-36y^{2}-216x-72y+225=0
x=4-z^2	x=4-z^{2}
a=a^2-b^2	a=a^{2}-b^{2}
(x^2)/8-(y^2)/(64)=1	\frac{x^{2}}{8}-\frac{y^{2}}{64}=1
2x4x+(-2)y4y=-200	2x4x+(-2)y4y=-200
x=(5x^2-5y^2)/2	x=\frac{5x^{2}-5y^{2}}{2}
-3x^2+2y^2+18x-20y+17=0	-3x^{2}+2y^{2}+18x-20y+17=0
(x^2)/(8^2)-(y^2)/(5^2)=1	\frac{x^{2}}{8^{2}}-\frac{y^{2}}{5^{2}}=1
4y^2-x^2+16y+12=0	4y^{2}-x^{2}+16y+12=0
3x^2-3y^2+x+y+1=0	3x^{2}-3y^{2}+x+y+1=0
-4x^2+y^2-40x-16=0	-4x^{2}+y^{2}-40x-16=0
x^2+8x-y^2-4y=5	x^{2}+8x-y^{2}-4y=5
y=-x^2+2x+3	y=-x^{2}+2x+3
-9y^2+9z^2=4	-9y^{2}+9z^{2}=4
(y^2)/6-(x^2)/3 =1	\frac{y^{2}}{6}-\frac{x^{2}}{3}=1
y^2-2x^2-4x-4y=8	y^{2}-2x^{2}-4x-4y=8
x^2-y^2+8x+24y=0	x^{2}-y^{2}+8x+24y=0
((x-9)^2}{16}-\frac{(y-11)^2)/9 =1	\frac{(x-9)^{2}}{16}-\frac{(y-11)^{2}}{9}=1
-9x^2+z^2=36	-9x^{2}+z^{2}=36
x^2-y^2=19	x^{2}-y^{2}=19
4x^2+4x+1-2y^2=16	4x^{2}+4x+1-2y^{2}=16
4y^2-z^2=4	4y^{2}-z^{2}=4
x^2-y^2=13	x^{2}-y^{2}=13
x=-1/2 y^2	x=-\frac{1}{2}y^{2}
x^2-y^2=14	x^{2}-y^{2}=14
((x-1)^2)/4-((y+1)^2)/8 =1	\frac{(x-1)^{2}}{4}-\frac{(y+1)^{2}}{8}=1
-9x^2+y^2+54x-117=0	-9x^{2}+y^{2}+54x-117=0
y^2=6^2+x^2+26x*0.5	y^{2}=6^{2}+x^{2}+2\cdot\:6\cdot\:x\cdot\:0.5
y^1y=(x+2)(x-1)	y^{1}y=(x+2)(x-1)
3(x-1)^2=6+2(y+1)^2	3(x-1)^{2}=6+2(y+1)^{2}
(x-5)^2-(y-4)^2=25	(x-5)^{2}-(y-4)^{2}=25
x^2-3y^2=4	x^{2}-3y^{2}=4
x^2-y^2=-7	x^{2}-y^{2}=-7
x^2-y^2=-8	x^{2}-y^{2}=-8
(y-3)^2=-4(x-2)	(y-3)^{2}=-4(x-2)
6x^2-8y^2-108x-64y=-310	6x^{2}-8y^{2}-108x-64y=-310
((a-b))/(a^2-2ab+b^2)-3/(a-b)=a+b	\frac{(a-b)}{a^{2}-2ab+b^{2}}-\frac{3}{a-b}=a+b
9(X^2+6X)-4Y^2=-45	9(X^{2}+6X)-4Y^{2}=-45
x^2-y^2=(2(9.81)(38.1))/((\frac{104.719(pi)){30})^2}	x^{2}-y^{2}=\frac{2(9.81)(38.1)}{(\frac{104.719(π)}{30})^{2}}
4y^2-x^2+2x+16y+7=0	4y^{2}-x^{2}+2x+16y+7=0
(x-3)(x+1)=yy	(x-3)(x+1)=yy
x^2-25y^2=25	x^{2}-25y^{2}=25
x^2+6x-4y^2-8y+9=0	x^{2}+6x-4y^{2}-8y+9=0
y^2=36^2+x^2	y^{2}=36^{2}+x^{2}
((x-1)^2)/4-(y-1)^2=1	\frac{(x-1)^{2}}{4}-(y-1)^{2}=1
eccentricity 16x^2+25y^2=400	eccentricity\:16x^{2}+25y^{2}=400
y^2=36x	y^{2}=36x
x+2y(y-x)=2x^2-2xy-x^2	x+2y(y-x)=2x^{2}-2xy-x^{2}
((x-6)^2)/4-((y+7)^2)/(36)=1	\frac{(x-6)^{2}}{4}-\frac{(y+7)^{2}}{36}=1
((x-3)^2)/1-((y-2)^2)/3 =1	\frac{(x-3)^{2}}{1}-\frac{(y-2)^{2}}{3}=1
((y+3)^2)/((64))-((x-2)^{(2)})/((84))=1	\frac{(y+3)^{2}}{(64)}-\frac{(x-2)^{(2)}}{(84)}=1
5x^2-4y^2-20x+8y-4=0	5x^{2}-4y^{2}-20x+8y-4=0
((y-1)^2}{25}-\frac{(x+2)^2)/9 =1	\frac{(y-1)^{2}}{25}-\frac{(x+2)^{2}}{9}=1
25x^2-4y^2-100x-16y-16=0	25x^{2}-4y^{2}-100x-16y-16=0
x^2-5y^2=25	x^{2}-5y^{2}=25
(y^2)/(100)-(x^2)/(36)=1	\frac{y^{2}}{100}-\frac{x^{2}}{36}=1
(y^2}{36}-\frac{x^2)/9 =1	\frac{y^{2}}{36}-\frac{x^{2}}{9}=1
ax^2+by=c	ax^{2}+by=c
12x^2-4y^2-72x-16y+44=0	12x^{2}-4y^{2}-72x-16y+44=0
-x^2+36z^2=9	-x^{2}+36z^{2}=9

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