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Popular Geometry Problems
(x-2)^2+4y^2=36
(x-2)^{2}+4y^{2}=36
6x^2+2y^2+18x-10y+2=0
6x^{2}+2y^{2}+18x-10y+2=0
16x^2+9y^2-128x-18y+121=0
16x^{2}+9y^{2}-128x-18y+121=0
((x-2)^2)/9+(y^2)/7 =1
\frac{(x-2)^{2}}{9}+\frac{y^{2}}{7}=1
(x^2)/4+(y^2)/(36)=1
\frac{x^{2}}{4}+\frac{y^{2}}{36}=1
x/((x^2+y^2))= 1/2
\frac{x}{(x^{2}+y^{2})}=\frac{1}{2}
(x^2)/(y^2-4)=-4
\frac{x^{2}}{y^{2}-4}=-4
1x^2+4y^2+9x+10y-14=0
1x^{2}+4y^{2}+9x+10y-14=0
x^2=4-2y^2
x^{2}=4-2y^{2}
5x^2+y^2+4x-16=0
5x^{2}+y^{2}+4x-16=0
((x+3)^2}{16}+\frac{(y-1)^2)/4 =1
\frac{(x+3)^{2}}{16}+\frac{(y-1)^{2}}{4}=1
x^2+(y^2)/2 =1
x^{2}+\frac{y^{2}}{2}=1
((x+8)^2)/(16)+((y+1)^2)/(81)=1
\frac{(x+8)^{2}}{16}+\frac{(y+1)^{2}}{81}=1
((x-12)^2)/(289)+((y-3)^2)/(64)=1
\frac{(x-12)^{2}}{289}+\frac{(y-3)^{2}}{64}=1
3x^2+6y^2-4x+6y-3=0
3x^{2}+6y^{2}-4x+6y-3=0
((x+1)^2)/4+((y-3)^2)/9 =1
\frac{(x+1)^{2}}{4}+\frac{(y-3)^{2}}{9}=1
((x-4)^2)/3+(y^2)/9 =1
\frac{(x-4)^{2}}{3}+\frac{y^{2}}{9}=1
25x^2+16y^2-100x-96y-156=0
25x^{2}+16y^{2}-100x-96y-156=0
(x^2)/(25)+((y-3)^2)/(16)=1
\frac{x^{2}}{25}+\frac{(y-3)^{2}}{16}=1
((x+2)^2}{25}+\frac{(y+1)^2)/4 =1
\frac{(x+2)^{2}}{25}+\frac{(y+1)^{2}}{4}=1
16-x^2-4y^2>0
16-x^{2}-4y^{2}>0
9X^2+4Y^2-24Y=0
9X^{2}+4Y^{2}-24Y=0
9x^2+4y^2-54x-8y-59=0
9x^{2}+4y^{2}-54x-8y-59=0
9x^2+4y^2=144
9x^{2}+4y^{2}=144
64x^2+81y^2-1024x+1458y+5473=0
64x^{2}+81y^{2}-1024x+1458y+5473=0
x^2+16y^2-10x+64y+73=0
x^{2}+16y^{2}-10x+64y+73=0
1=4x^2+y^2
1=4x^{2}+y^{2}
x^2+2y^2=30
x^{2}+2y^{2}=30
4x^2+16y^2+32y=0
4x^{2}+16y^{2}+32y=0
((x-4)^2)/9+((y+6)^2)/(121)=1
\frac{(x-4)^{2}}{9}+\frac{(y+6)^{2}}{121}=1
36x^2+16y^2+180x-24y+90=0
36x^{2}+16y^{2}+180x-24y+90=0
2.4x^2+4y^2+40x-32y-5=0
2.4x^{2}+4y^{2}+40x-32y-5=0
25x^2+16y^2+100x-32y-284=0
25x^{2}+16y^{2}+100x-32y-284=0
x^2+3y^2-3x-5y=0
x^{2}+3y^{2}-3x-5y=0
x^2-2x+4y^2-24y+33=0
x^{2}-2x+4y^{2}-24y+33=0
(x^2)/1+(y^2)/5 =1
\frac{x^{2}}{1}+\frac{y^{2}}{5}=1
4x^2+y^2+56=4y-56x
4x^{2}+y^{2}+56=4y-56x
((x-3)^2)/(49)+((y+6)^2)/(100)=1
\frac{(x-3)^{2}}{49}+\frac{(y+6)^{2}}{100}=1
((x-(-2))^2)/9+((y-3)^2)/(25)=1
\frac{(x-(-2))^{2}}{9}+\frac{(y-3)^{2}}{25}=1
((x^2)/(15))+(((y-8)^2)/(49))=1
(\frac{x^{2}}{15})+(\frac{(y-8)^{2}}{49})=1
20x^2+40y^2=800
20x^{2}+40y^{2}=800
8x^2+3y^2=24
8x^{2}+3y^{2}=24
((x-4)^2)/9+((y+6)^2)/4 =1
\frac{(x-4)^{2}}{9}+\frac{(y+6)^{2}}{4}=1
9x^2+4y^2+18x+32y+37=0
9x^{2}+4y^{2}+18x+32y+37=0
(x^2)/(100)+(y^2)/(49)=1
\frac{x^{2}}{100}+\frac{y^{2}}{49}=1
-x^2-4=y^2
-x^{2}-4=y^{2}
x^2+10y^2-6x+20y+18=0
x^{2}+10y^{2}-6x+20y+18=0
((x-1)^2)/(7^2)+((y-1)^2)/(3^2)=1
\frac{(x-1)^{2}}{7^{2}}+\frac{(y-1)^{2}}{3^{2}}=1
((x-1)^2)/(36)+((y+2)^2)/(25)=1
\frac{(x-1)^{2}}{36}+\frac{(y+2)^{2}}{25}=1
4x^2+y^2-8x+4y-4=0
4x^{2}+y^{2}-8x+4y-4=0
x^2+4y^2-6x-16y+21>0
x^{2}+4y^{2}-6x-16y+21>0
(x^2)/2+y^2=2
\frac{x^{2}}{2}+y^{2}=2
((x-2)^2)/2+((y-1)^2)/8 =1
\frac{(x-2)^{2}}{2}+\frac{(y-1)^{2}}{8}=1
1/2 = x/((x^2+y^2))
\frac{1}{2}=\frac{x}{(x^{2}+y^{2})}
(X^2)/(27)+(Y^2)/(36)=1
\frac{X^{2}}{27}+\frac{Y^{2}}{36}=1
x^2-10x+4y^2-8y=5
x^{2}-10x+4y^{2}-8y=5
((x+3)^2)/9+((y-2)^2)/5 =1
\frac{(x+3)^{2}}{9}+\frac{(y-2)^{2}}{5}=1
(x^2)/2+(y^2)/3 =1
\frac{x^{2}}{2}+\frac{y^{2}}{3}=1
9x^2+y^2+18x+2y+1=0
9x^{2}+y^{2}+18x+2y+1=0
2x^2+8y^2=25
2x^{2}+8y^{2}=25
x^2+16y^2-16=0
x^{2}+16y^{2}-16=0
y^2=36-4x^2
y^{2}=36-4x^{2}
x^2+3y^2+6x+6=0
x^{2}+3y^{2}+6x+6=0
(x^2+8(y+5)^2)=20
(x^{2}+8(y+5)^{2})=20
((x-4)^2)/(25)+((y-2)^2)/(16)=1
\frac{(x-4)^{2}}{25}+\frac{(y-2)^{2}}{16}=1
9x^2+25y^2-36x-189=0
9x^{2}+25y^{2}-36x-189=0
9x^2+25y^2-18x-150y+9=0
9x^{2}+25y^{2}-18x-150y+9=0
2x^2+3y^2+8x+9y-10=0
2x^{2}+3y^{2}+8x+9y-10=0
2x^2+3y^2-8x+6y+5=0
2x^{2}+3y^{2}-8x+6y+5=0
3x^2+y^2+2x-6y-3=0
3x^{2}+y^{2}+2x-6y-3=0
((x-3)^2)/4+((y+2)^2)/1 =1
\frac{(x-3)^{2}}{4}+\frac{(y+2)^{2}}{1}=1
25x^2+4y^2-50x+16y-59=0
25x^{2}+4y^{2}-50x+16y-59=0
5x^2+7y^2=35
5x^{2}+7y^{2}=35
((x^2)/a)+((y^2)/b)=1
(\frac{x^{2}}{a})+(\frac{y^{2}}{b})=1
((x-10)^2)/(25)+((y-4)^2)/(36)=1
\frac{(x-10)^{2}}{25}+\frac{(y-4)^{2}}{36}=1
3x^2+2y^2-6x+4y-2=0
3x^{2}+2y^{2}-6x+4y-2=0
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
((x+1)^2)/(100)+((y+2)^2)/(121)=1
\frac{(x+1)^{2}}{100}+\frac{(y+2)^{2}}{121}=1
25x^2+16y^2<400
25x^{2}+16y^{2}<400
x^2+y^2=6y-8y
x^{2}+y^{2}=6y-8y
25x^2+49y^2=1225
25x^{2}+49y^{2}=1225
x^2-4x+3y^2=-2
x^{2}-4x+3y^{2}=-2
x^2+2y^2+4x+4y+4=0
x^{2}+2y^{2}+4x+4y+4=0
4/3 x^2+x+2y^2-5y=8
\frac{4}{3}x^{2}+x+2y^{2}-5y=8
1=x^2+4y^2
1=x^{2}+4y^{2}
4-x^2-4y^2>0
4-x^{2}-4y^{2}>0
36x^2+4y^2-144=0
36x^{2}+4y^{2}-144=0
(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
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