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Problemas populares de Geometry

yy=x^2-9	yy=x^{2}-9
4x^2-y^2-4=0	4x^{2}-y^{2}-4=0
x^2-9y^2=36	x^{2}-9y^{2}=36
50y^2-25x^2+100x-100y-75=0	50y^{2}-25x^{2}+100x-100y-75=0
144y^{(2)}-25x^{(2)}=3600	144y^{(2)}-25x^{(2)}=3600
16y^2-25x^2=1600	16y^{2}-25x^{2}=1600
solvefor x,m(x)^2+8m(x)+16=1+x^2	solvefor\:x,m(x)^{2}+8m(x)+16=1+x^{2}
(x-5)(x-1)=yy	(x-5)(x-1)=yy
((y+3)^2}{16}-\frac{(x+4)^2)/9 =1	\frac{(y+3)^{2}}{16}-\frac{(x+4)^{2}}{9}=1
9x^2-16y^2+36x+96y-252=0	9x^{2}-16y^{2}+36x+96y-252=0
x^2-6x-2y^2+7=0	x^{2}-6x-2y^{2}+7=0
((x-3)^2}{16}-\frac{(y+1)^2)/9 =1	\frac{(x-3)^{2}}{16}-\frac{(y+1)^{2}}{9}=1
(y/(100))^2-(x^2)/(49)=1	(\frac{y}{100})^{2}-\frac{x^{2}}{49}=1
(x+y)(x-y)=60.49	(x+y)(x-y)=60.49
9x^2-4y^2=144	9x^{2}-4y^{2}=144
9x^2-16y^2-54x+32y-79=0	9x^{2}-16y^{2}-54x+32y-79=0
((x-6)^2}{16}-\frac{(y-2)^2)/9 =1	\frac{(x-6)^{2}}{16}-\frac{(y-2)^{2}}{9}=1
(x^2}{33}-\frac{y^2)/3 =1	\frac{x^{2}}{33}-\frac{y^{2}}{3}=1
x^2-4x-y^2-6y-2=0	x^{2}-4x-y^{2}-6y-2=0
((y+3)^2)/(64)-((x+1)^2)/(36)=1	\frac{(y+3)^{2}}{64}-\frac{(x+1)^{2}}{36}=1
-4x^2+9y^2+24x-36y-32=0	-4x^{2}+9y^{2}+24x-36y-32=0
(x^2}{24}-\frac{y^2)/9 =1	\frac{x^{2}}{24}-\frac{y^{2}}{9}=1
x^2-y^2-6y=0	x^{2}-y^{2}-6y=0
4y^2-4x^2=4	4y^{2}-4x^{2}=4
x^{(2)}-y^{(2)}=25	x^{(2)}-y^{(2)}=25
x^{(2)}-y^{(2)}=20	x^{(2)}-y^{(2)}=20
x^2-16y^2=144	x^{2}-16y^{2}=144
((x+4)^2)/4-((y-8)^2)/(16)=1	\frac{(x+4)^{2}}{4}-\frac{(y-8)^{2}}{16}=1
25x^2-16y^2-400=0	25x^{2}-16y^{2}-400=0
x^2-(y^2)/(10)=5	x^{2}-\frac{y^{2}}{10}=5
5x^2-3y^2-20x-18y-22=0	5x^{2}-3y^{2}-20x-18y-22=0
(x^2)/8-(y^2)/8 =1	\frac{x^{2}}{8}-\frac{y^{2}}{8}=1
-4x^2+9y^2-24x-54y+81=0	-4x^{2}+9y^{2}-24x-54y+81=0
4x^{(2)}-9y^{(2)}=216	4x^{(2)}-9y^{(2)}=216
((y+2)^2)/9-((x-3)^2)/(16)=1	\frac{(y+2)^{2}}{9}-\frac{(x-3)^{2}}{16}=1
f(x)*f(x)=2x^2-x-10	f(x)\cdot\:f(x)=2x^{2}-x-10
(y^2)/(100)-((x-2)^2)/(64)=1	\frac{y^{2}}{100}-\frac{(x-2)^{2}}{64}=1
(x^2}{16}-\frac{(y+6)^2)/9 =1	\frac{x^{2}}{16}-\frac{(y+6)^{2}}{9}=1
(-(x-5)^2}{16}+\frac{(y+7)^2)/9 =1	\frac{-(x-5)^{2}}{16}+\frac{(y+7)^{2}}{9}=1
(y^2)/(12^2)-(x^2)/(5^2)=1	\frac{y^{2}}{12^{2}}-\frac{x^{2}}{5^{2}}=1
y^2+C=((3x^2)/2-6x+C)	y^{2}+C=(\frac{3x^{2}}{2}-6x+C)
16x^2-25y^2-160x=0	16x^{2}-25y^{2}-160x=0
x^2-4y^2-36=0	x^{2}-4y^{2}-36=0
y^2-9x^2-6y+54x=153	y^{2}-9x^{2}-6y+54x=153
2x^2-4y^2=4	2x^{2}-4y^{2}=4
4x^2-y^2-24x-6y+11=0	4x^{2}-y^{2}-24x-6y+11=0
9x^2-8y^2=72	9x^{2}-8y^{2}=72
-16x^2+25y^2-160x-150y-575=0	-16x^{2}+25y^{2}-160x-150y-575=0
x^2-y^2= 2/3	x^{2}-y^{2}=\frac{2}{3}
2x^2=2y^2+8	2x^{2}=2y^{2}+8
x^2-y^2+2x+2y-20=0	x^{2}-y^{2}+2x+2y-20=0
11^2+x^2=y^2	11^{2}+x^{2}=y^{2}
((x-5)^2)/(16)-((y-10)^2)/(10)=1	\frac{(x-5)^{2}}{16}-\frac{(y-10)^{2}}{10}=1
(x-2)^2-(y-1)^2=4	(x-2)^{2}-(y-1)^{2}=4
4x^2-3y^2+32x-18y=-25	4x^{2}-3y^{2}+32x-18y=-25
4x^2-z^2=1	4x^{2}-z^{2}=1
((y+2)^2)/(25)-((x-10)^2)/(36)=1	\frac{(y+2)^{2}}{25}-\frac{(x-10)^{2}}{36}=1
((y-3)^2}{16}-\frac{(x+4)^2)/9 =1	\frac{(y-3)^{2}}{16}-\frac{(x+4)^{2}}{9}=1
2x^2-2y=2y^2+2y+2x-1	2x^{2}-2y=2y^{2}+2y+2x-1
((x-8)/3)^2-((y+3)/4)^2=1	(\frac{x-8}{3})^{2}-(\frac{y+3}{4})^{2}=1
(y^2)/(20)-x^2=1	\frac{y^{2}}{20}-x^{2}=1
9x^2-4y^2-36x+72=0	9x^{2}-4y^{2}-36x+72=0
(z^2)/4-y^2=1	\frac{z^{2}}{4}-y^{2}=1
((y+5)^2)/9-((x-3)^2)/(25)=9	\frac{(y+5)^{2}}{9}-\frac{(x-3)^{2}}{25}=9
25y^2-x^2+2x+150y+225=0	25y^{2}-x^{2}+2x+150y+225=0
((y+5)^2)/9-((x-3)^2)/(25)=1	\frac{(y+5)^{2}}{9}-\frac{(x-3)^{2}}{25}=1
((x-3)^2)/(16)-((y+2)^2)/(16)=1	\frac{(x-3)^{2}}{16}-\frac{(y+2)^{2}}{16}=1
x^2-y^2= 64/5	x^{2}-y^{2}=\frac{64}{5}
y^2=x^2-5x+4	y^{2}=x^{2}-5x+4
a^2-b^2=50	a^{2}-b^{2}=50
x^2-9=2y^2	x^{2}-9=2y^{2}
4x^2-24x-25y^2+250y-489=0	4x^{2}-24x-25y^{2}+250y-489=0
(y^2)/(10^2)-(x^2)/(24^2)=1	\frac{y^{2}}{10^{2}}-\frac{x^{2}}{24^{2}}=1
4x^2-y^2+24x+40=0	4x^{2}-y^{2}+24x+40=0
4x^2-y^2+16x+2y=21	4x^{2}-y^{2}+16x+2y=21
9x^2-4y^2+36x+40y-208=0	9x^{2}-4y^{2}+36x+40y-208=0
x^2-5y^2+10y+4x-37=0	x^{2}-5y^{2}+10y+4x-37=0
((x-1)^2)/9-(y^2)/4 =1	\frac{(x-1)^{2}}{9}-\frac{y^{2}}{4}=1
a^2-b^2=14	a^{2}-b^{2}=14
a^2-b^2=42	a^{2}-b^{2}=42
5y^2-50y+44=9x^2-36x	5y^{2}-50y+44=9x^{2}-36x
solvefor x,h(x)^2=42+(7x)^2	solvefor\:x,h(x)^{2}=42+(7x)^{2}
a^2-b^2=150	a^{2}-b^{2}=150
(x^2}{15}-\frac{y^2)/1 =1	\frac{x^{2}}{15}-\frac{y^{2}}{1}=1
50x^2-4y^2-200x+24y+36=0	50x^{2}-4y^{2}-200x+24y+36=0
((x-4)^2)/9-((y-2)^2)/4 =1	\frac{(x-4)^{2}}{9}-\frac{(y-2)^{2}}{4}=1
a^2-b^2=31	a^{2}-b^{2}=31
9y^2-25x^2+54y+150x=369	9y^{2}-25x^{2}+54y+150x=369
y^2=8^2+x^2	y^{2}=8^{2}+x^{2}
a^2-b^2=-5	a^{2}-b^{2}=-5
((x-4)^2)/4-((y+1)^2)/9 =1	\frac{(x-4)^{2}}{4}-\frac{(y+1)^{2}}{9}=1
-4y^2+9x^2-27x-16y=24	-4y^{2}+9x^{2}-27x-16y=24
3x^2-y^2-18x+4y+20=0	3x^{2}-y^{2}-18x+4y+20=0
-9x^2-36x+16y^2-32y-164=0	-9x^{2}-36x+16y^{2}-32y-164=0
9X^2-Y^2+54X+10Y+55=0	9X^{2}-Y^{2}+54X+10Y+55=0
4x^2-9y^2+40x-72y-80=0	4x^{2}-9y^{2}+40x-72y-80=0
y^2=x^2-9	y^{2}=x^{2}-9
36x^2-64y^2-504x+768y-1769=0	36x^{2}-64y^{2}-504x+768y-1769=0
x^2-4x-y^2+10y+5=0	x^{2}-4x-y^{2}+10y+5=0
((y+2)^2)/2-((x+1)^2)/2 =1	\frac{(y+2)^{2}}{2}-\frac{(x+1)^{2}}{2}=1

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