Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
17301	Find the Properties	x^2-2y=8x-10	$x^{2} - 2 y = 8 x - 10$
17302	Find the Properties	x^2-2x+8y+9=0	$x^{2} - 2 x + 8 y + 9 = 0$
17303	Find the Properties	x^2-2y-6x=-5	$x^{2} - 2 y - 6 x = - 5$
17304	Find the Properties	(x-1)^2+8(y+2)=0	${(x - 1)}^{2} + 8 (y + 2) = 0$
17305	Find the Properties	9x^2-4y^2+54x+8y+41=0	$9 x^{2} - 4 y^{2} + 54 x + 8 y + 41 = 0$
17306	Find the Properties	(x+2)^2=8(y+4)	${(x + 2)}^{2} = 8 (y + 4)$
17307	Find the Properties	(y+1)^2=4(x-3)	${(y + 1)}^{2} = 4 (x - 3)$
17308	Find the Properties	(x-4)^2=2(y-3)	${(x - 4)}^{2} = 2 (y - 3)$
17309	Expand the Logarithmic Expression	2 log base 4 of 8x^3y	$2 \log_{4} (8 x^{3} y)$
17310	Find the Properties	4x^2+y^2+40x+10y+121=0	$4 x^{2} + y^{2} + 40 x + 10 y + 121 = 0$
17311	Find the Properties	4x^2-8x+y^2=12	$4 x^{2} - 8 x + y^{2} = 12$
17312	Find the Properties	9x^2-36x+4y^2=0	$9 x^{2} - 36 x + 4 y^{2} = 0$
17313	Find the Properties	((x+4)^2)/9-((y-5)^2)/16=1	$\frac{{(x + 4)}^{2}}{9} - \frac{{(y - 5)}^{2}}{16} = 1$
17314	Find the Properties	((x+5)^2)/9-((y+4)^2)/48=1	$\frac{{(x + 5)}^{2}}{9} - \frac{{(y + 4)}^{2}}{48} = 1$
17315	Solve for w	5w^(3/2)=135	$5 w^{\frac{3}{2}} = 135$
17316	Solve for x	x^4-2x^2=2x^2	$x^{4} - 2 x^{2} = 2 x^{2}$
17317	Simplify	(2+i)(1-i)	$(2 + i) (1 - i)$
17318	Find the Properties	y^2=1-3x^2	$y^{2} = 1 - 3 x^{2}$
17319	Find the Properties	16x^2+36y^2-96x+36y+9=0	$16 x^{2} + 36 y^{2} - 96 x + 36 y + 9 = 0$
17320	Find the Properties	25x^2+169y^2=4225	$25 x^{2} + 169 y^{2} = 4225$
17321	Simplify	(2x^(1/4)y^(1/3))(3x^(1/4)y^(2/3))	$(2 x^{\frac{1}{4}} y^{\frac{1}{3}}) (3 x^{\frac{1}{4}} y^{\frac{2}{3}})$
17322	Find the Properties	x^2+y^2-8x+6y-11=0	$x^{2} + y^{2} - 8 x + 6 y - 11 = 0$
17323	Find the Properties	x^2+y^2-8x=0	$x^{2} + y^{2} - 8 x = 0$
17324	Find the Properties	x^2+y^2-4x-14y+50=0	$x^{2} + y^{2} - 4 x - 14 y + 50 = 0$
17325	Find the Properties	x^2+y^2+6y-7=0	$x^{2} + y^{2} + 6 y - 7 = 0$
17326	Find the Properties	x^2+y^2-4x-2y-15=0	$x^{2} + y^{2} - 4 x - 2 y - 15 = 0$
17327	Find the Properties	x^2+y^2-4y=0	$x^{2} + y^{2} - 4 y = 0$
17328	Find the Properties	x^2+y^2-6x+10y-15=0	$x^{2} + y^{2} - 6 x + 10 y - 15 = 0$
17329	Find the Properties	x^2+y^2-x+8y+16=0	$x^{2} + y^{2} - x + 8 y + 16 = 0$
17330	Find the Properties	x^2+y^2-12x+6y+45=0	$x^{2} + y^{2} - 12 x + 6 y + 45 = 0$
17331	Find the Properties	x^2+4y^2+20x-40y+300=0	$x^{2} + 4 y^{2} + 20 x - 40 y + 300 = 0$
17332	Find the Properties	((x+2)^2)/25+((y-4)^2)/4=1	$\frac{{(x + 2)}^{2}}{25} + \frac{{(y - 4)}^{2}}{4} = 1$
17333	Find the Properties	x^2+y^2+4x-6y-12=0	$x^{2} + y^{2} + 4 x - 6 y - 12 = 0$
17334	Find the Properties	x^2+y^2+6x-16y+48=0	$x^{2} + y^{2} + 6 x - 16 y + 48 = 0$
17335	Find the Properties	y=1/36x^2	$y = \frac{1}{36} x^{2}$
17336	Find the Properties	y=-1/36x^2	$y = - \frac{1}{36} x^{2}$
17337	Find the Properties	y=-1/4x^2	$y = - \frac{1}{4} x^{2}$
17338	Find the Properties	(x-6)^2+(y-8)^2=100	${(x - 6)}^{2} + {(y - 8)}^{2} = 100$
17339	Find the Properties	y=1/5x^2	$y = \frac{1}{5} x^{2}$
17340	Find the Properties	x^2+y^2+8x-8y-49=0	$x^{2} + y^{2} + 8 x - 8 y - 49 = 0$
17341	Find the Properties	y-2y-12x+13=0	$y - 2 y - 12 x + 13 = 0$
17342	Find the Properties	(x+1)^2+(y-3)^2=4	${(x + 1)}^{2} + {(y - 3)}^{2} = 4$
17343	Find the Properties	(x+9)^2+(y-8)^2=81	${(x + 9)}^{2} + {(y - 8)}^{2} = 81$
17344	Find the Properties	(x-2)^2+(y-1)^2=5	${(x - 2)}^{2} + {(y - 1)}^{2} = 5$
17345	Find the Properties	(x-7)^2+y^2=36	${(x - 7)}^{2} + y^{2} = 36$
17346	Find the Properties	9x^2+4y^2-36x-24y+36=0	$9 x^{2} + 4 y^{2} - 36 x - 24 y + 36 = 0$
17347	Find the Properties	9x^2-8y=-24	$9 x^{2} - 8 y = - 24$
17348	Find the Properties	x=1/28y^2	$x = \frac{1}{28} y^{2}$
17349	Find the Properties	-9x^2-18x-89+16y^2+64y=0	$- 9 x^{2} - 18 x - 89 + 16 y^{2} + 64 y = 0$
17350	Find the Properties	9y^2-x^2=36	$9 y^{2} - x^{2} = 36$
17351	Find the Properties	9y^2+x^2=144	$9 y^{2} + x^{2} = 144$
17352	Find the Properties	x=6y^2	$x = 6 y^{2}$
17353	Find the Properties	x=y^2-4y+7	$x = y^{2} - 4 y + 7$
17354	Find the Properties	y=1/32x^2	$y = \frac{1}{32} x^{2}$
17355	Find the Properties	xy=1	$x y = 1$
17356	Find the Properties	y=3x^2-24x+49	$y = 3 x^{2} - 24 x + 49$
17357	Simplify/Condense	1/3* log of (x+2)^3+1/2*( log of x^4- log of (x^2-x-6)^2)	$\frac{1}{3} \cdot \log ({(x + 2)}^{3}) + \frac{1}{2} \cdot (\log (x^{4}) - \log ({(x^{2} - x - 6)}^{2}))$
17358	Simplify/Condense	1/( natural log of x)	$\frac{1}{\ln (x)}$
17359	Simplify/Condense	1/2*( log base 5 of x-8- log base 5 of x)	$\frac{1}{2} \cdot (\log_{5} (x - 8) - \log_{5} (x))$
17360	Simplify/Condense	log of (0.01)^8	$\log ({(0.01)}^{8})$
17361	Find the Center and Radius	(x+4)^2+(y-7)^2=64	${(x + 4)}^{2} + {(y - 7)}^{2} = 64$
17362	Find the Center and Radius	4x^2+4y^2-4x+12y+1=0	$4 x^{2} + 4 y^{2} - 4 x + 12 y + 1 = 0$
17363	Find the Center and Radius	5x^2+5y^2+10x-y=0	$5 x^{2} + 5 y^{2} + 10 x - y = 0$
17364	Find the Center and Radius	8x^2+8y^2-16x+80y=-200	$8 x^{2} + 8 y^{2} - 16 x + 80 y = - 200$
17365	Find the Center and Radius	10x^2+10y^2=100	$10 x^{2} + 10 y^{2} = 100$
17366	Find the Center and Radius	x^2-2x+y^2=3	$x^{2} - 2 x + y^{2} = 3$
17367	Find the Center and Radius	x^2-4x+y^2-12=0	$x^{2} - 4 x + y^{2} - 12 = 0$
17368	Find the Center and Radius	x^2-4x+y^2-2y=7	$x^{2} - 4 x + y^{2} - 2 y = 7$
17369	Find the Center and Radius	x^2+y^2-8x-4y-1=0	$x^{2} + y^{2} - 8 x - 4 y - 1 = 0$
17370	Find the Center and Radius	x^2+y^2-8x-2y+9=0	$x^{2} + y^{2} - 8 x - 2 y + 9 = 0$
17371	Find the Center and Radius	x^2+y^2-8x-6y+21=0	$x^{2} + y^{2} - 8 x - 6 y + 21 = 0$
17372	Find the Center and Radius	x^2+4x+y^2-8y+11=0	$x^{2} + 4 x + y^{2} - 8 y + 11 = 0$
17373	Find the Center and Radius	x^2+6x+y^2-10y=2	$x^{2} + 6 x + y^{2} - 10 y = 2$
17374	Find the Center and Radius	x^2-12x+36+y^2+2y+1=16	$x^{2} - 12 x + 36 + y^{2} + 2 y + 1 = 16$
17375	Find the Center and Radius	-2y=x^2+y^2	$- 2 y = x^{2} + y^{2}$
17376	Find the Center and Radius	4x^2+4y^2+24x-32y+75=0	$4 x^{2} + 4 y^{2} + 24 x - 32 y + 75 = 0$
17377	Find the Center and Radius	5x^2+5y^2-40x-20y-25=0	$5 x^{2} + 5 y^{2} - 40 x - 20 y - 25 = 0$
17378	Find the Center and Radius	9x^2+9y^2+54x-36y+17=0	$9 x^{2} + 9 y^{2} + 54 x - 36 y + 17 = 0$
17379	Find the Center and Radius	4(x-5)^2+4y^2=4	$4 {(x - 5)}^{2} + 4 y^{2} = 4$
17380	Find the Center and Radius	2x^2+2y^2-6x+8y+5=0	$2 x^{2} + 2 y^{2} - 6 x + 8 y + 5 = 0$
17381	Find the Center and Radius	25=(x-1)^2+(y+2)^2	$25 = {(x - 1)}^{2} + {(y + 2)}^{2}$
17382	Find the Center and Radius	2x^2+2y^2-8x+12y-6=0	$2 x^{2} + 2 y^{2} - 8 x + 12 y - 6 = 0$
17383	Find the Center and Radius	2x^2+2y^2-10x-18y=1	$2 x^{2} + 2 y^{2} - 10 x - 18 y = 1$
17384	Find the Center and Radius	3x^2+3y^2-12y=0	$3 x^{2} + 3 y^{2} - 12 y = 0$
17385	Find the Center and Radius	3x^2+12x+3y^2-24y-15=0	$3 x^{2} + 12 x + 3 y^{2} - 24 y - 15 = 0$
17386	Find the Center and Radius	x^2+(y-5)^2=16	$x^{2} + {(y - 5)}^{2} = 16$
17387	Find the Center and Radius	x^2+(y-75)^2=75	$x^{2} + {(y - 75)}^{2} = 75$
17388	Find the Center and Radius	x^2+y^2+10x+4y+28=0	$x^{2} + y^{2} + 10 x + 4 y + 28 = 0$
17389	Find the Center and Radius	(x-8)^2+(y+3)^2=18	${(x - 8)}^{2} + {(y + 3)}^{2} = 18$
17390	Find the Center and Radius	(x-8)^2+(y-14)^2=5	${(x - 8)}^{2} + {(y - 14)}^{2} = 5$
17391	Find the Center and Radius	(x-8)^2+(y-2)^2=9	${(x - 8)}^{2} + {(y - 2)}^{2} = 9$
17392	Find the Center and Radius	(x-6)^2+y^2=36	${(x - 6)}^{2} + y^{2} = 36$
17393	Find the Center and Radius	x^2+y^2+8x-18y+81=0	$x^{2} + y^{2} + 8 x - 18 y + 81 = 0$
17394	Find the Center and Radius	x^2+y^2+6x-4y-12=0	$x^{2} + y^{2} + 6 x - 4 y - 12 = 0$
17395	Find the Center and Radius	x^2+y^2+6x-16y+48=0	$x^{2} + y^{2} + 6 x - 16 y + 48 = 0$
17396	Find the Center and Radius	x^2+y^2+1/4x+2y+1/64=0	$x^{2} + y^{2} + \frac{1}{4} x + 2 y + \frac{1}{64} = 0$
17397	Find the Center and Radius	x^2+y^2+2x-6y+7=0	$x^{2} + y^{2} + 2 x - 6 y + 7 = 0$
17398	Find the Center and Radius	x^2+y^2+2x-6y-15=0	$x^{2} + y^{2} + 2 x - 6 y - 15 = 0$
17399	Find the Center and Radius	x^2+y^2+4x-2y-20=0	$x^{2} + y^{2} + 4 x - 2 y - 20 = 0$
17400	Find the Center and Radius	x^2+y^2-4x=0	$x^{2} + y^{2} - 4 x = 0$