Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
152401	Identify the Conic	9y^2-x^2-54y+8x+56=0	$9 y^{2} - x^{2} - 54 y + 8 x + 56 = 0$
152402	Identify the Conic	9x^2-4y^2-36x-32y-64=0	$9 x^{2} - 4 y^{2} - 36 x - 32 y - 64 = 0$
152403	Identify the Conic	x^2+4y^2-8x-12y-2=0	$x^{2} + 4 y^{2} - 8 x - 12 y - 2 = 0$
152404	Identify the Conic	y^2-6y-4x+21=0	$y^{2} - 6 y - 4 x + 21 = 0$
152405	Identify the Conic	y^2-4y=4x+16	$y^{2} - 4 y = 4 x + 16$
152406	Identify the Conic	y^2-4x-12y+4=0	$y^{2} - 4 x - 12 y + 4 = 0$
152407	Round to the Nearest Hundred	8250	$8250$
152408	Graph the Interval	[1,3]	$[1, 3]$
152409	Graph the Interval	[-1,infinity) intersect (1,infinity)	$[- 1, \infty) \cap (1, \infty)$
152410	Graph the Interval	[-1,infinity) intersect (5,infinity)	$[- 1, \infty) \cap (5, \infty)$
152411	Graph the Interval	(negative infinity,0) intersect [-3,3)	$(- \infty, 0) \cap [- 3, 3)$
152412	Graph the Interval	(-1,6)	$(- 1, 6)$
152413	Graph the Interval	(-1,7) intersect [0,9]	$(- 1, 7) \cap [0, 9]$
152414	Graph the Interval	(-4,5]	$(- 4, 5]$
152415	Graph the Interval	(-5,3)	$(- 5, 3)$
152416	Find the Upper or Third Quartile	24 , 36 , 42 , 57 , 65	$24$ , $36$ , $42$ , $57$ , $65$
152417	Find the Upper or Third Quartile	165 , 85 , 105 , 105 , 152 , 144 , 140 , 160 , 80	$165$ , $85$ , $105$ , $105$ , $152$ , $144$ , $140$ , $160$ , $80$
152418	Find the Upper or Third Quartile	176 , 180 , 215 , 216 , 219 , 220 , 224 , 231 , 236 , 250 , 264	$176$ , $180$ , $215$ , $216$ , $219$ , $220$ , $224$ , $231$ , $236$ , $250$ , $264$
152419	Identify the Conic	2y^2-3y+3x=0	$2 y^{2} - 3 y + 3 x = 0$
152420	Identify the Conic	3x^2-4x+2+4y^2-6y+7=0	$3 x^{2} - 4 x + 2 + 4 y^{2} - 6 y + 7 = 0$
152421	Identify the Conic	3x^2-4y^2-6x+16y-25=0	$3 x^{2} - 4 y^{2} - 6 x + 16 y - 25 = 0$
152422	Identify the Conic	2x^2+y^2=36	$2 x^{2} + y^{2} = 36$
152423	Identify the Conic	3y^2-x-6y+5=0	$3 y^{2} - x - 6 y + 5 = 0$
152424	Identify the Conic	4x^2+49y^2=196	$4 x^{2} + 49 y^{2} = 196$
152425	Identify the Conic	4x^2+3x+4y^2-5y+12=0	$4 x^{2} + 3 x + 4 y^{2} - 5 y + 12 = 0$
152426	Identify the Conic	4x^2-8x+3y^2+12y+4=0	$4 x^{2} - 8 x + 3 y^{2} + 12 y + 4 = 0$
152427	Identify the Conic	4x^2-y^2=100	$4 x^{2} - y^{2} = 100$
152428	Identify the Conic	4x^2-y^2-4x-3=0	$4 x^{2} - y^{2} - 4 x - 3 = 0$
152429	Identify the Conic	4y^2-16y-9x^2-36x-164=0	$4 y^{2} - 16 y - 9 x^{2} - 36 x - 164 = 0$
152430	Identify the Conic	4x^2+8x+5y^2-30y-11=0	$4 x^{2} + 8 x + 5 y^{2} - 30 y - 11 = 0$
152431	Identify the Conic	4x^2+8x+9y^2+36y-4=0	$4 x^{2} + 8 x + 9 y^{2} + 36 y - 4 = 0$
152432	Identify the Conic	4x^2-16x+16y+32=0	$4 x^{2} - 16 x + 16 y + 32 = 0$
152433	Identify the Conic	4x^2-3y^2-8x+6y+1=0	$4 x^{2} - 3 y^{2} - 8 x + 6 y + 1 = 0$
152434	Identify the Conic	4x^2-32x+3y^2-18y=-55	$4 x^{2} - 32 x + 3 y^{2} - 18 y = - 55$
152435	Identify the Conic	2x^2+2y^2-8x+12y+2=0	$2 x^{2} + 2 y^{2} - 8 x + 12 y + 2 = 0$
152436	Identify the Conic	25x^2-100x-36y^2+216y-1124=0	$25 x^{2} - 100 x - 36 y^{2} + 216 y - 1124 = 0$
152437	Identify the Conic	16x^2+25y^2+64x-50y-311=0	$16 x^{2} + 25 y^{2} + 64 x - 50 y - 311 = 0$
152438	Identify the Conic	(x-8)2+(y-12)2=25	$(x - 8) \cdot 2 + (y - 12) \cdot 2 = 25$
152439	Find the Union of the Inequalities	y>=4x-5	$y \geq 4 x - 5$
152440	Determine the Nature of the Roots Using the Discriminant	x^2-x-6=0	$x^{2} - x - 6 = 0$
152441	Determine the Nature of the Roots Using the Discriminant	x^2-5x+8=0	$x^{2} - 5 x + 8 = 0$
152442	Determine the Nature of the Roots Using the Discriminant	x^2-4x-5=0	$x^{2} - 4 x - 5 = 0$
152443	Determine the Nature of the Roots Using the Discriminant	x^2-4=0	$x^{2} - 4 = 0$
152444	Determine the Nature of the Roots Using the Discriminant	x^2+2x+9=0	$x^{2} + 2 x + 9 = 0$
152445	Determine the Nature of the Roots Using the Discriminant	-x^2+9x+7=0	$- x^{2} + 9 x + 7 = 0$
152446	Determine the Nature of the Roots Using the Discriminant	x^2+6x+11=0	$x^{2} + 6 x + 11 = 0$
152447	Determine the Nature of the Roots Using the Discriminant	2x(x-3)=x+4	$2 x (x - 3) = x + 4$
152448	Determine the Nature of the Roots Using the Discriminant	2x(x-3)=x-5	$2 x (x - 3) = x - 5$
152449	Determine the Nature of the Roots Using the Discriminant	25x^2+10x+1=0	$25 x^{2} + 10 x + 1 = 0$
152450	Find the Quotient of the Two Functions	f(x)=2x^2-9x , g(x)=x^2-4x-45	$f (x) = 2 x^{2} - 9 x$ , $g (x) = x^{2} - 4 x - 45$
152451	Find the Quotient of the Two Functions	f(x)=2x^2-x-6g(x)=x^2-4	$f (x) = 2 x^{2} - x - 6 g (x) = x^{2} - 4$
152452	Find the Quotient of the Two Functions	f(x)=3x-9 , g(x)=x-3	$f (x) = 3 x - 9$ , $g (x) = x - 3$
152453	Determine the Nature of the Roots Using the Discriminant	2x^2-4x+5=0	$2 x^{2} - 4 x + 5 = 0$
152454	Determine the Nature of the Roots Using the Discriminant	2x^2+x+28=0	$2 x^{2} + x + 28 = 0$
152455	Determine the Nature of the Roots Using the Discriminant	2x^2-8x=-8	$2 x^{2} - 8 x = - 8$
152456	Determine the Nature of the Roots Using the Discriminant	2x^2-3x+7=0	$2 x^{2} - 3 x + 7 = 0$
152457	Determine the Nature of the Roots Using the Discriminant	2x^2-6x+9=0	$2 x^{2} - 6 x + 9 = 0$
152458	Determine the Nature of the Roots Using the Discriminant	3x^2-2x+5=0	$3 x^{2} - 2 x + 5 = 0$
152459	Determine the Nature of the Roots Using the Discriminant	3x^2=-7x-7	$3 x^{2} = - 7 x - 7$
152460	Determine the Nature of the Roots Using the Discriminant	3x^2+6x-4=0	$3 x^{2} + 6 x - 4 = 0$
152461	Determine the Nature of the Roots Using the Discriminant	4x^2-8x=-4	$4 x^{2} - 8 x = - 4$
152462	Determine the Nature of the Roots Using the Discriminant	9x^2+2x-6=0	$9 x^{2} + 2 x - 6 = 0$
152463	Determine the Nature of the Roots Using the Discriminant	6x^2-16x+5=0	$6 x^{2} - 16 x + 5 = 0$
152464	Determine the Nature of the Roots Using the Discriminant	6x^2-4x+3=0	$6 x^{2} - 4 x + 3 = 0$
152465	Determine the Nature of the Roots Using the Discriminant	6x^2+6x+3=0	$6 x^{2} + 6 x + 3 = 0$
152466	Determine the Nature of the Roots Using the Discriminant	6x^2+15x+9=0	$6 x^{2} + 15 x + 9 = 0$
152467	Determine the Nature of the Roots Using the Discriminant	5x^2-3x-4=0	$5 x^{2} - 3 x - 4 = 0$
152468	Determine the Nature of the Roots Using the Discriminant	5x^2-2x+6=0	$5 x^{2} - 2 x + 6 = 0$
152469	Determine the Nature of the Roots Using the Discriminant	-5x^2+9x-4=0	$- 5 x^{2} + 9 x - 4 = 0$
152470	Find the Range	2x^2-8	$2 x^{2} - 8$
152471	Find the LCD	(12x)/(x-1) , x/(x-6)	$\frac{12 x}{x - 1}$ , $\frac{x}{x - 6}$
152472	Find the LCD	13/(10r^5) , 11/(98r^3)	$\frac{13}{10 r^{5}}$ , $\frac{11}{98 r^{3}}$
152473	Find the LCD	23/(14x^4) , y/(28x^2)	$\frac{23}{14 x^{4}}$ , $\frac{y}{28 x^{2}}$
152474	Find the LCD	(2x)/(x+9) , 4/(9x)	$\frac{2 x}{x + 9}$ , $\frac{4}{9 x}$
152475	Find the LCD	(2x)/(x-3) , (4x)/(x-1)	$\frac{2 x}{x - 3}$ , $\frac{4 x}{x - 1}$
152476	Find the LCD	2/5 , 3/15	$\frac{2}{5}$ , $\frac{3}{15}$
152477	Find the LCD	2/(5x+15) , 1/(10x)	$\frac{2}{5 x + 15}$ , $\frac{1}{10 x}$
152478	Find the LCD	2/(5xy^2) , 3/(10x^2)	$\frac{2}{5 x y^{2}}$ , $\frac{3}{10 x^{2}}$
152479	Find the LCD	3/8 , 1/4	$\frac{3}{8}$ , $\frac{1}{4}$
152480	Find the LCD	(3x)/(x^2-10x+25) , 2/(x^2-4x-5)	$\frac{3 x}{x^{2} - 10 x + 25}$ , $\frac{2}{x^{2} - 4 x - 5}$
152481	Find the LCD	-3/(2z) , 6/(3z)	$- \frac{3}{2 z}$ , $\frac{6}{3 z}$
152482	Find the LCD	(2x)/(x^2+5x+4) , 5/(x^2-3x-28)	$\frac{2 x}{x^{2} + 5 x + 4}$ , $\frac{5}{x^{2} - 3 x - 28}$
152483	Find the LCD	(2x)/(x^2-9) , 5/(x+3)	$\frac{2 x}{x^{2} - 9}$ , $\frac{5}{x + 3}$
152484	Find the LCD	3/10 , 7/8	$\frac{3}{10}$ , $\frac{7}{8}$
152485	Find the LCD	5/(x^2-2x-8) , (2x)/(x^2-x-12)	$\frac{5}{x^{2} - 2 x - 8}$ , $\frac{2 x}{x^{2} - x - 12}$
152486	Find the LCD	5/8 , 3/8	$\frac{5}{8}$ , $\frac{3}{8}$
152487	Find the LCD	5/7 , 19/77	$\frac{5}{7}$ , $\frac{19}{77}$
152488	Find the LCD	7/(15r^5) , 13/(12r^3)	$\frac{7}{15 r^{5}}$ , $\frac{13}{12 r^{3}}$
152489	Find the LCD	7/12 , 4/16	$\frac{7}{12}$ , $\frac{4}{16}$
152490	Find the LCD	(3x+1)/(x^2+6x-7) , (8x)/(x^2+5x-6)	$\frac{3 x + 1}{x^{2} + 6 x - 7}$ , $\frac{8 x}{x^{2} + 5 x - 6}$
152491	Find the LCD	4/13 , 3/10	$\frac{4}{13}$ , $\frac{3}{10}$
152492	Find the LCD	4/x , (x-2)/y	$\frac{4}{x}$ , $\frac{x - 2}{y}$
152493	Find the LCD	1/4 , 1/6 , 4/9	$\frac{1}{4}$ , $\frac{1}{6}$ , $\frac{4}{9}$
152494	Find the LCD	1/(2x-6) , (2x)/(7x-21)	$\frac{1}{2 x - 6}$ , $\frac{2 x}{7 x - 21}$
152495	Find the LCD	1/(x^2-5x) , 8/(x^2-3x-10)	$\frac{1}{x^{2} - 5 x}$ , $\frac{8}{x^{2} - 3 x - 10}$
152496	Find the LCD	1/(2p^2q) , 3/(4pq^2)	$\frac{1}{2 p^{2} q}$ , $\frac{3}{4 p q^{2}}$
152497	Convert to Rectangular Coordinates	(6,(7pi)/6)	$(6, \frac{7 π}{6})$
152498	Convert to Rectangular Coordinates	(-6,pi)	$(- 6, π)$
152499	Convert to Rectangular Coordinates	(4,45)	$(4, 45)$
152500	Convert to Rectangular Coordinates	(3,4pi/3)	$(3, 4 \frac{π}{3})$