Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
52801	Solve by Completing the Square	x^2-12x+45=0	$x^{2} - 12 x + 45 = 0$
52802	Solve by Completing the Square	x^2-12x-11=0	$x^{2} - 12 x - 11 = 0$
52803	Solve by Completing the Square	x^2-2x-24=0	$x^{2} - 2 x - 24 = 0$
52804	Find the x and y Intercepts	-3x+5y=2x+3y	$- 3 x + 5 y = 2 x + 3 y$
52805	Find the x and y Intercepts	y-5=0	$y - 5 = 0$
52806	Find the x and y Intercepts	7x+2y=5	$7 x + 2 y = 5$
52807	Find the x and y Intercepts	64x^2+49y^2+896x-784y+3136=0	$64 x^{2} + 49 y^{2} + 896 x - 784 y + 3136 = 0$
52808	Find the x and y Intercepts	y=8cot(x)	$y = 8 \cot (x)$
52809	Find the x and y Intercepts	x^2+y^2-16x+2y+40=0	$x^{2} + y^{2} - 16 x + 2 y + 40 = 0$
52810	Find the x and y Intercepts	y=(x-1)^2-9	$y = {(x - 1)}^{2} - 9$
52811	Find the x and y Intercepts	2/5y-1/2x=400	$\frac{2}{5} y - \frac{1}{2} x = 400$
52812	Find the x and y Intercepts	6x+4y=18	$6 x + 4 y = 18$
52813	Find the x and y Intercepts	y=4/3x-8	$y = \frac{4}{3} x - 8$
52814	Find the x and y Intercepts	4y=3x-12	$4 y = 3 x - 12$
52815	Find the x and y Intercepts	y=-11/50(x-4)(x-24)	$y = - \frac{11}{50} (x - 4) (x - 24)$
52816	Find the x and y Intercepts	y=12x-9x^2-4	$y = 12 x - 9 x^{2} - 4$
52817	Find the x and y Intercepts	y=3x^2+x-6	$y = 3 x^{2} + x - 6$
52818	Find the x and y Intercepts	2x+3y=24	$2 x + 3 y = 24$
52819	Find the x and y Intercepts	y=-0.025x^2+3x	$y = - 0.025 x^{2} + 3 x$
52820	Find the x and y Intercepts	4x-4y=20	$4 x - 4 y = 20$
52821	Find the x and y Intercepts	y=2x^2+6x	$y = 2 x^{2} + 6 x$
52822	Find the x and y Intercepts	x^2+y^2-18x+4y+69=0	$x^{2} + y^{2} - 18 x + 4 y + 69 = 0$
52823	Find the x and y Intercepts	y=x^2-2x-1	$y = x^{2} - 2 x - 1$
52824	Find the x and y Intercepts	y=20x-4x^2-25	$y = 20 x - 4 x^{2} - 25$
52825	Find the x and y Intercepts	(x-3)^2+(y+5)^2=16	${(x - 3)}^{2} + {(y + 5)}^{2} = 16$
52826	Find the x and y Intercepts	y=x^2+23x+127	$y = x^{2} + 23 x + 127$
52827	Find the x and y Intercepts	y=x^2+15x+52	$y = x^{2} + 15 x + 52$
52828	Find the x and y Intercepts	y=3x^2+10x+8	$y = 3 x^{2} + 10 x + 8$
52829	Find the x and y Intercepts	y=9/4x-1/4	$y = \frac{9}{4} x - \frac{1}{4}$
52830	Find the x and y Intercepts	y=4x^2-8x+9	$y = 4 x^{2} - 8 x + 9$
52831	Find the x and y Intercepts	y=x^2-10x+16	$y = x^{2} - 10 x + 16$
52832	Find the x and y Intercepts	3x-y=13	$3 x - y = 13$
52833	Find the x and y Intercepts	y=8x-4x^2-4	$y = 8 x - 4 x^{2} - 4$
52834	Find the x and y Intercepts	3x^2+3y^2-12x+18y+12=0	$3 x^{2} + 3 y^{2} - 12 x + 18 y + 12 = 0$
52835	Find the x and y Intercepts	y=5-x	$y = 5 - x$
52836	Find the x and y Intercepts	y=-x^3+27x-54	$y = - x^{3} + 27 x - 54$
52837	Find the x and y Intercepts	x-y=-9	$x - y = - 9$
52838	Find the x and y Intercepts	36x^2+16y^2+288x-192y+576=0	$36 x^{2} + 16 y^{2} + 288 x - 192 y + 576 = 0$
52839	Find the x and y Intercepts	y=5x^2+8x-7	$y = 5 x^{2} + 8 x - 7$
52840	Find the x and y Intercepts	5y-5x=-25	$5 y - 5 x = - 25$
52841	Find the x and y Intercepts	4x+3y=7	$4 x + 3 y = 7$
52842	Find the x and y Intercepts	y=-2x^2-5x-2	$y = - 2 x^{2} - 5 x - 2$
52843	Find the x and y Intercepts	x+y=66	$x + y = 66$
52844	Find the x and y Intercepts	4x-3y-6=0	$4 x - 3 y - 6 = 0$
52845	Find the x and y Intercepts	y=7x-2	$y = 7 x - 2$
52846	Find the x and y Intercepts	x+3y=7	$x + 3 y = 7$
52847	Find the x and y Intercepts	y=e^(x+2)	$y = e^{x + 2}$
52848	Find the x and y Intercepts	x-6=0	$x - 6 = 0$
52849	Find the x and y Intercepts	y=x^2+19x+85	$y = x^{2} + 19 x + 85$
52850	Find the x and y Intercepts	15x+14=-15y+14	$15 x + 14 = - 15 y + 14$
52851	Find the x and y Intercepts	y=16x-16x^2-4	$y = 16 x - 16 x^{2} - 4$
52852	Find the x and y Intercepts	6x-4y=48	$6 x - 4 y = 48$
52853	Find the x and y Intercepts	y=4x^2+19x+12	$y = 4 x^{2} + 19 x + 12$
52854	Find the x and y Intercepts	y=-6x^2-5x-1	$y = - 6 x^{2} - 5 x - 1$
52855	Find the x and y Intercepts	y=2-x-x^3	$y = 2 - x - x^{3}$
52856	Find the Next Term	7 , -14 , 28 , -56 , 112 , -224	$7$ , $- 14$ , $28$ , $- 56$ , $112$ , $- 224$
52857	Find the Next Term	3 , 6 , 12 , 24 , 48 , 96	$3$ , $6$ , $12$ , $24$ , $48$ , $96$
52858	Find the Next Term	70 , 65 , 60	$70$ , $65$ , $60$
52859	Maximize the Equation given the Constraints	p=1/12x^2-6x+108 , 0<=x<=36	$p = \frac{1}{12} x^{2} - 6 x + 108$ , $0 \leq x \leq 36$
52860	Maximize the Equation given the Constraints	p=1/12x^2-18x+972 , 0<=x<=108	$p = \frac{1}{12} x^{2} - 18 x + 972$ , $0 \leq x \leq 108$
52861	Find Amplitude, Period, and Phase Shift	y=5sin(2x-pi/3)+1	$y = 5 \sin (2 x - \frac{π}{3}) + 1$
52862	Find Amplitude, Period, and Phase Shift	y=5sec(2x)	$y = 5 \sec (2 x)$
52863	Find Amplitude, Period, and Phase Shift	y=2cos(1/3x)	$y = 2 \cos (\frac{1}{3} x)$
52864	Find Amplitude, Period, and Phase Shift	y=1.5sin(8x)	$y = 1.5 \sin (8 x)$
52865	Find Amplitude, Period, and Phase Shift	y=2sin(pix+4)-2	$y = 2 \sin (π x + 4) - 2$
52866	Find Amplitude, Period, and Phase Shift	y=5tan(x-pi/3)	$y = 5 \tan (x - \frac{π}{3})$
52867	Find Amplitude, Period, and Phase Shift	y=5sin(4x-2)-3	$y = 5 \sin (4 x - 2) - 3$
52868	Find Amplitude, Period, and Phase Shift	y=-2cos(x+pi/6)	$y = - 2 \cos (x + \frac{π}{6})$
52869	Find Amplitude, Period, and Phase Shift	y=7cos(3x)	$y = 7 \cos (3 x)$
52870	Find Amplitude, Period, and Phase Shift	y=10sin(theta/6+30)-5	$y = 10 \sin (\frac{θ}{6} + 30) - 5$
52871	Find Amplitude, Period, and Phase Shift	y=2cos(pix-1)+2	$y = 2 \cos (π x - 1) + 2$
52872	Determine the Nature of the Roots Using the Discriminant	-10x^2+12x-9=0	$- 10 x^{2} + 12 x - 9 = 0$
52873	Find the Foci	(x^2)/9-(y^2)/16=1	$\frac{x^{2}}{9} - \frac{y^{2}}{16} = 1$
52874	Find the Foci	x^2+16y^2=16	$x^{2} + 16 y^{2} = 16$
52875	Find the Foci	9x^2-16y^2=144	$9 x^{2} - 16 y^{2} = 144$
52876	Find the Foci	4x^2-y^2-24x-6y+23=0	$4 x^{2} - y^{2} - 24 x - 6 y + 23 = 0$
52877	Find the Foci	16x^2-64x+4y^2=0	$16 x^{2} - 64 x + 4 y^{2} = 0$
52878	Find the Foci	49x^2+25y^2+490x-350y+1225=0	$49 x^{2} + 25 y^{2} + 490 x - 350 y + 1225 = 0$
52879	Find the Foci	y^2+2y=9x^2+8	$y^{2} + 2 y = 9 x^{2} + 8$
52880	Find the Maximum/Minimum Value	( natural log of x)/x	$\frac{\ln (x)}{x}$
52881	Find the Maximum/Minimum Value	-0.2t^2+1.6t+98.8	$- 0.2 t^{2} + 1.6 t + 98.8$
52882	Find the Maximum/Minimum Value	-16x^2+64x+5	$- 16 x^{2} + 64 x + 5$
52883	Find the Maximum/Minimum Value	18+2x-x^2	$18 + 2 x - x^{2}$
52884	Find the Maximum/Minimum Value	2-3x^2	$2 - 3 x^{2}$
52885	Find the Maximum/Minimum Value	-360x^2-1440x+360	$- 360 x^{2} - 1440 x + 360$
52886	Find the Maximum/Minimum Value	6x^2+12x-18	$6 x^{2} + 12 x - 18$
52887	Find the Maximum/Minimum Value	6x^4-32x^3+48x^2-7	$6 x^{4} - 32 x^{3} + 48 x^{2} - 7$
52888	Find the Maximum/Minimum Value	-x^2-3x+5	$- x^{2} - 3 x + 5$
52889	Find the Maximum/Minimum Value	-x^2-6x-8	$- x^{2} - 6 x - 8$
52890	Find the Area Under the Curve	y=x^2+2 , [0,1]	$y = x^{2} + 2$ , $[0, 1]$
52891	Find the Asymptotes	f(x)=( square root of x^2+1)/x	$f (x) = \frac{\sqrt{x^{2} + 1}}{x}$
52892	Find the Asymptotes	f(x)=1/(x^2-25)	$f (x) = \frac{1}{x^{2} - 25}$
52893	Find the Asymptotes	f(x)=(12x)/(21x-2)	$f (x) = \frac{12 x}{21 x - 2}$
52894	Find the Asymptotes	f(x)=(1-4x)/(1+7x)	$f (x) = \frac{1 - 4 x}{1 + 7 x}$
52895	Find the Asymptotes	f(x)=(1-6x)/(1+7x)	$f (x) = \frac{1 - 6 x}{1 + 7 x}$
52896	Find the Asymptotes	f(x)=(2x^2+6)/(2x^2+3x-2)	$f (x) = \frac{2 x^{2} + 6}{2 x^{2} + 3 x - 2}$
52897	Find the Asymptotes	f(x)=(2-x-x^3)/(x^3-1)	$f (x) = \frac{2 - x - x^{3}}{x^{3} - 1}$
52898	Find the Asymptotes	f(x)=(3x^2-13x+4)/(x^2-3x-4)	$f (x) = \frac{3 x^{2} - 13 x + 4}{x^{2} - 3 x - 4}$
52899	Find the Asymptotes	f(x)=(4x^3+18x^2+18x)/(x^3+3x^2)	$f (x) = \frac{4 x^{3} + 18 x^{2} + 18 x}{x^{3} + 3 x^{2}}$
52900	Find the Asymptotes	f(x)=(4x+7)/(5x-9)	$f (x) = \frac{4 x + 7}{5 x - 9}$