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Popular Geometry Problems
y=3(x-1)^2
y=3(x-1)^{2}
x^2-6=(y^2)/3
x^{2}-6=\frac{y^{2}}{3}
12(y-5)^2-30(x+2)^2=360
12(y-5)^{2}-30(x+2)^{2}=360
3x^2-y^2+30x+78=0
3x^{2}-y^{2}+30x+78=0
9x^2-y^2-72x+8y+119=0
9x^{2}-y^{2}-72x+8y+119=0
9x^2-4y^2+18x-27=0
9x^{2}-4y^{2}+18x-27=0
4x^2-y^2=64
4x^{2}-y^{2}=64
y^2-16x^2=16
y^{2}-16x^{2}=16
-4y^2+x^2+8x-8y=-8
-4y^{2}+x^{2}+8x-8y=-8
4x^2-25y^2-40x-150y-225=0
4x^{2}-25y^{2}-40x-150y-225=0
4x^2-5y^2-32x+10y+79=0
4x^{2}-5y^{2}-32x+10y+79=0
x^2+2x+4y-19=0
x^{2}+2x+4y-19=0
(x+k(x))(x-k(x))=k(x)
(x+k(x))(x-k(x))=k(x)
(x^2)/(16)-(y^2)/(64)=1
\frac{x^{2}}{16}-\frac{y^{2}}{64}=1
(x^2)/(81)-(y^2)/(64)=1
\frac{x^{2}}{81}-\frac{y^{2}}{64}=1
2y^2-9x^2-18x+20y+5=0
2y^{2}-9x^{2}-18x+20y+5=0
36=9x^2-4y^2
36=9x^{2}-4y^{2}
x^2-4y^2=3
x^{2}-4y^{2}=3
x^{(2)}+9=y^{(2)}
x^{(2)}+9=y^{(2)}
x^2-y^2-2y=0
x^{2}-y^{2}-2y=0
a^2-b^2=1
a^{2}-b^{2}=1
4y^2-9x^2+8y-54x-81=0
4y^{2}-9x^{2}+8y-54x-81=0
x+y^2=6
x+y^{2}=6
4y^2-x^2-8y-4x-4=0
4y^{2}-x^{2}-8y-4x-4=0
(y+2)^2-x^2=8
(y+2)^{2}-x^{2}=8
16x^2-9y^2+576=0
16x^{2}-9y^{2}+576=0
x^2-y^2-2x+4y=2
x^{2}-y^{2}-2x+4y=2
x^2-y^2-100=0
x^{2}-y^{2}-100=0
y^2=5x^2-7x+2
y^{2}=5x^{2}-7x+2
((x-2)^2)/1-((y+3)^2)/9 =1
\frac{(x-2)^{2}}{1}-\frac{(y+3)^{2}}{9}=1
((x-3)^2)/(49)-((y+2)^2)/(16)=1
\frac{(x-3)^{2}}{49}-\frac{(y+2)^{2}}{16}=1
3x^2-y^2-2x+39=0
3x^{2}-y^{2}-2x+39=0
3x^2-4y^2+y=9
3x^{2}-4y^{2}+y=9
y<= x^2-3
y\le\:x^{2}-3
(x^2)/(5^2)-(y^2)/(2^2)=1
\frac{x^{2}}{5^{2}}-\frac{y^{2}}{2^{2}}=1
y^2-x^2-4y+4x-1=0
y^{2}-x^{2}-4y+4x-1=0
((x-2)^2)/(4^2)-((y-3)^2)/(3^2)=1
\frac{(x-2)^{2}}{4^{2}}-\frac{(y-3)^{2}}{3^{2}}=1
16y^2-9x^2=144
16y^{2}-9x^{2}=144
4y^2-4x^2-24x+32y=-24
4y^{2}-4x^{2}-24x+32y=-24
9x^2-16y^2+576=0
9x^{2}-16y^{2}+576=0
5x^2-5y^2-9x-14y+26=0
5x^{2}-5y^{2}-9x-14y+26=0
5x^2-2y^2=-3
5x^{2}-2y^{2}=-3
f(x)(f(x))=x^2+x+1
f(x)(f(x))=x^{2}+x+1
4x^2-9y^2-16x+54y-101=0
4x^{2}-9y^{2}-16x+54y-101=0
x+y^2=2
x+y^{2}=2
y^2-x^2=81
y^{2}-x^{2}=81
36+y^2=x^2
36+y^{2}=x^{2}
(16)x^2-(225)y^2+(0)x+(-2250)y+(2025)=0
(16)x^{2}-(225)y^{2}+(0)x+(-2250)y+(2025)=0
5x^2-3y^2+10x-12y=22
5x^{2}-3y^{2}+10x-12y=22
((x^2}{16})-(\frac{y^2)/9)=1
(\frac{x^{2}}{16})-(\frac{y^{2}}{9})=1
(x^2)/4-((Y(x)+1)^2)/(16)=1
\frac{x^{2}}{4}-\frac{(Y(x)+1)^{2}}{16}=1
6x^2-5y^2-24x+10y-11=0
6x^{2}-5y^{2}-24x+10y-11=0
y^2-x^2=-1
y^{2}-x^{2}=-1
2x^2-y^2=2
2x^{2}-y^{2}=2
((x-1)^2)/4-(y+3)^2=1
\frac{(x-1)^{2}}{4}-(y+3)^{2}=1
(x+3)^2=4(y+4)
(x+3)^{2}=4(y+4)
2xx-3yy=-1214
2xx-3yy=-1214
3x^2-6x-4y^2=9
3x^{2}-6x-4y^{2}=9
9x^2-16y^2=64
9x^{2}-16y^{2}=64
(x^2)/(25)-(y^2)/(49)=1
\frac{x^{2}}{25}-\frac{y^{2}}{49}=1
x^2=y^2-25
x^{2}=y^{2}-25
(y+1)^2-x^2=8
(y+1)^{2}-x^{2}=8
3x^2-y^2+18x+18=0
3x^{2}-y^{2}+18x+18=0
36x^2-25y^2-8x-8y+76=0
36x^{2}-25y^{2}-8x-8y+76=0
-16x^2+9y^2-64x-18y=199
-16x^{2}+9y^{2}-64x-18y=199
(x^2)/4-(y^2)/9 =-1
\frac{x^{2}}{4}-\frac{y^{2}}{9}=-1
x=y^2+6y+8
x=y^{2}+6y+8
25*(2x)^2+56476*(2*x)-25(1+2y)^2-3(2y+1)=48810
25\cdot\:(2x)^{2}+56476\cdot\:(2\cdot\:x)-25(1+2y)^{2}-3(2y+1)=48810
2y^2-3x^2-4y+12x+8=0
2y^{2}-3x^{2}-4y+12x+8=0
((x+5)^2)/(16)-((y-2)^2)/(36)=1
\frac{(x+5)^{2}}{16}-\frac{(y-2)^{2}}{36}=1
y^2=x^2+144
y^{2}=x^{2}+144
(x^2)/4-(3y^2)/4 =1
\frac{x^{2}}{4}-\frac{3y^{2}}{4}=1
y^2-4x^2=12
y^{2}-4x^{2}=12
3x^2-y^2<= 9
3x^{2}-y^{2}\le\:9
4y^2-49x^2-392x+16y-964=0
4y^{2}-49x^{2}-392x+16y-964=0
x^2-2y^2=4
x^{2}-2y^{2}=4
x^2-4y^2+8x+16y-4=0
x^{2}-4y^{2}+8x+16y-4=0
vertexparabola y=x^2-24x-12
vertexparabola\:y=x^{2}-24x-12
(x+3)^2=-4(y-2)
(x+3)^{2}=-4(y-2)
((y-2)^2)/(16)-((x+1)^2)/(144)=1
\frac{(y-2)^{2}}{16}-\frac{(x+1)^{2}}{144}=1
16x^2-160x-16y^2-128y-112=0
16x^{2}-160x-16y^{2}-128y-112=0
[f(x)]^2=3x^2-x+2
[f(x)]^{2}=3x^{2}-x+2
(x^2)/5-(y^2)/4 =1
\frac{x^{2}}{5}-\frac{y^{2}}{4}=1
y^2=4+z^2-2z
y^{2}=4+z^{2}-2z
a^2-b^2=51
a^{2}-b^{2}=51
10y^2-9x^2=144
10y^{2}-9x^{2}=144
10x^2-7y^2-30x+14y=5
10x^{2}-7y^{2}-30x+14y=5
sqrt(3)((xsqrt(3))/2+y/2)^2+3(x/2-(ysqrt(3))/2)((xsqrt(3))/2+y/2)-1=0
\sqrt{3}(\frac{x\sqrt{3}}{2}+\frac{y}{2})^{2}+3(\frac{x}{2}-\frac{y\sqrt{3}}{2})(\frac{x\sqrt{3}}{2}+\frac{y}{2})-1=0
25x^2-9y^2+100x-54y+10=0
25x^{2}-9y^{2}+100x-54y+10=0
4x-y^2+5=0
4x-y^{2}+5=0
y^2=x^2+8
y^{2}=x^{2}+8
9x^2+36=y^2+36x+6y
9x^{2}+36=y^{2}+36x+6y
-4x^2+y^2=36
-4x^{2}+y^{2}=36
25y^2-12x^2-48x-75y=0
25y^{2}-12x^{2}-48x-75y=0
((y+1)^2)/(sqrt(5)^2)-((x-1)^2)/(1^2)=1
\frac{(y+1)^{2}}{\sqrt{5}^{2}}-\frac{(x-1)^{2}}{1^{2}}=1
(y^2}{15}-\frac{x^2)/1 =1
\frac{y^{2}}{15}-\frac{x^{2}}{1}=1
((x-1)^2)/9-((y+2)^2)/4 =1
\frac{(x-1)^{2}}{9}-\frac{(y+2)^{2}}{4}=1
x^2-2y^2-2x-8y-27=0
x^{2}-2y^{2}-2x-8y-27=0
0=x^2+2x-2m(x)^2
0=x^{2}+2x-2m(x)^{2}
((x-1)^2)/(36)-((y-2)^2)/(64)=1
\frac{(x-1)^{2}}{36}-\frac{(y-2)^{2}}{64}=1
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