Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
52501	Find the Roots (Zeros)	-x^2-6x-5	$- x^{2} - 6 x - 5$
52502	Find the Roots (Zeros)	12x^2-48x+32	$12 x^{2} - 48 x + 32$
52503	Find the Roots (Zeros)	x^3-9x^2+40x-100	$x^{3} - 9 x^{2} + 40 x - 100$
52504	Find the Roots (Zeros)	x^4+10x^2+9	$x^{4} + 10 x^{2} + 9$
52505	Find the Roots (Zeros)	X^2+5X-3	$X^{2} + 5 X - 3$
52506	Find the Roots (Zeros)	x^2-4x-32	$x^{2} - 4 x - 32$
52507	Find the Roots (Zeros)	(x^2-6x-27)/(x^2-12x+27)	$\frac{x^{2} - 6 x - 27}{x^{2} - 12 x + 27}$
52508	Find the Roots (Zeros)	2x^2-4x-1	$2 x^{2} - 4 x - 1$
52509	Find the Roots (Zeros)	-3x^2+18x+21	$- 3 x^{2} + 18 x + 21$
52510	Find the Roots (Zeros)	12x^2-12x-144	$12 x^{2} - 12 x - 144$
52511	Find the Roots (Zeros)	9x^2+48x+64	$9 x^{2} + 48 x + 64$
52512	Find the Roots (Zeros)	x^5-9x^3	$x^{5} - 9 x^{3}$
52513	Find the Roots (Zeros)	x^3+12x^2+48x+64	$x^{3} + 12 x^{2} + 48 x + 64$
52514	Find the Roots (Zeros)	x^3-11x^2+41x-51	$x^{3} - 11 x^{2} + 41 x - 51$
52515	Find the Roots (Zeros)	(x^2-3x-18)/(x^2-9x+18)	$\frac{x^{2} - 3 x - 18}{x^{2} - 9 x + 18}$
52516	Find the Roots (Zeros)	2x^3+3x^2+18x+27	$2 x^{3} + 3 x^{2} + 18 x + 27$
52517	Find the Roots (Zeros)	6x^2-66x+180	$6 x^{2} - 66 x + 180$
52518	Find the Roots (Zeros)	x^4-7x^2-18	$x^{4} - 7 x^{2} - 18$
52519	Find the Roots (Zeros)	-sin(x)-cos(x)	$- \sin (x) - \cos (x)$
52520	Find the Roots (Zeros)	-3x^2+12x+15	$- 3 x^{2} + 12 x + 15$
52521	Find the Roots (Zeros)	3x^3+5x^2-2x-4	$3 x^{3} + 5 x^{2} - 2 x - 4$
52522	Find the Roots (Zeros)	4x-256x^-2	$4 x - 256 x^{- 2}$
52523	Find the Roots (Zeros)	x^3-13x^2+57x-85	$x^{3} - 13 x^{2} + 57 x - 85$
52524	Find the Roots (Zeros)	x^3-13x^2+56x-78	$x^{3} - 13 x^{2} + 56 x - 78$
52525	Find the Roots (Zeros)	x^4-11x^3+36x^2-27x-27	$x^{4} - 11 x^{3} + 36 x^{2} - 27 x - 27$
52526	Find the Roots (Zeros)	6x^2-54x+120	$6 x^{2} - 54 x + 120$
52527	Find the Roots (Zeros)	x^4+10x^2+25	$x^{4} + 10 x^{2} + 25$
52528	Find the Roots (Zeros)	x^2-18x+72	$x^{2} - 18 x + 72$
52529	Find the Roots (Zeros)	4x^3-2x square root of 3-4x	$4 x^{3} - 2 x \sqrt{3} - 4 x$
52530	Find the Roots (Zeros)	4x^3-2x square root of 5-10x	$4 x^{3} - 2 x \sqrt{5} - 10 x$
52531	Find the Roots (Zeros)	3/4t^(-1/4)-9/4t^(-3/4)	$\frac{3}{4} t^{- \frac{1}{4}} - \frac{9}{4} t^{- \frac{3}{4}}$
52532	Find the Roots (Zeros)	x^2-13x+36	$x^{2} - 13 x + 36$
52533	Find the Roots (Zeros)	3x^2-10x+8	$3 x^{2} - 10 x + 8$
52534	Find the Roots (Zeros)	x^2-x+6	$x^{2} - x + 6$
52535	Find the Roots (Zeros)	x^2+4x-9	$x^{2} + 4 x - 9$
52536	Find the Roots (Zeros)	12x^2-48x	$12 x^{2} - 48 x$
52537	Find the Roots (Zeros)	16x^2-1	$16 x^{2} - 1$
52538	Find the Roots (Zeros)	3x^2+12x-15	$3 x^{2} + 12 x - 15$
52539	Find the Roots (Zeros)	6x^2+2x-1	$6 x^{2} + 2 x - 1$
52540	Find the Roots (Zeros)	6x^2-30x+24	$6 x^{2} - 30 x + 24$
52541	Find the Roots (Zeros)	3x^2+6x-144	$3 x^{2} + 6 x - 144$
52542	Find the Roots (Zeros)	square root of 144-x^2-(x^2)/( square root of 144-x^2)	$\sqrt{144 - x^{2}} - \frac{x^{2}}{\sqrt{144 - x^{2}}}$
52543	Find the Roots (Zeros)	-5x^3+240x	$- 5 x^{3} + 240 x$
52544	Find the Roots (Zeros)	x^3-2x^2-7x-4	$x^{3} - 2 x^{2} - 7 x - 4$
52545	Find the Roots (Zeros)	-16cos(x)sin(x)	$- 16 \cos (x) \sin (x)$
52546	Find the Roots (Zeros)	x^3-x+2	$x^{3} - x + 2$
52547	Find the Roots (Zeros)	2x^2+5x-7	$2 x^{2} + 5 x - 7$
52548	Find the Roots (Zeros)	12x^3-24x^2	$12 x^{3} - 24 x^{2}$
52549	Find the Roots (Zeros)	324x^3-900x	$324 x^{3} - 900 x$
52550	Find the Roots (Zeros)	x^3-x^2+16x-16	$x^{3} - x^{2} + 16 x - 16$
52551	Find the Roots (Zeros)	2x^2-9x+12	$2 x^{2} - 9 x + 12$
52552	Find the Roots (Zeros)	12x^2-80x+100	$12 x^{2} - 80 x + 100$
52553	Find the Roots (Zeros)	-3x^2+27	$- 3 x^{2} + 27$
52554	Find the Roots (Zeros)	12x^2+18x+6	$12 x^{2} + 18 x + 6$
52555	Find the Roots (Zeros)	6x^2-24x-30	$6 x^{2} - 24 x - 30$
52556	Find the Roots (Zeros)	-2x^4+11x^3-16x^2+x+6	$- 2 x^{4} + 11 x^{3} - 16 x^{2} + x + 6$
52557	Find the Roots (Zeros)	-3x^2+18x-15	$- 3 x^{2} + 18 x - 15$
52558	Find the Roots (Zeros)	6x^2-78x+252	$6 x^{2} - 78 x + 252$
52559	Find the Roots (Zeros)	x^2-8x+19	$x^{2} - 8 x + 19$
52560	Find the Roots (Zeros)	3x^2+6x-45	$3 x^{2} + 6 x - 45$
52561	Find the Roots (Zeros)	x^3-3x-4	$x^{3} - 3 x - 4$
52562	Find the Roots (Zeros)	3x^2-12x-63	$3 x^{2} - 12 x - 63$
52563	Find the Roots (Zeros)	x^4+8x^3+17x^2+8x+16	$x^{4} + 8 x^{3} + 17 x^{2} + 8 x + 16$
52564	Find the Roots (Zeros)	-6x^2+64x+192	$- 6 x^{2} + 64 x + 192$
52565	Convert to Scientific Notation	13966836204.78216	$13966836204.78216$
52566	Convert to Scientific Notation	590	$590$
52567	Convert to Scientific Notation	((1)(63310^-9)(2.3))/(3610^-2)	$\frac{(1) (633 \cdot 10^{- 9}) (2.3)}{36 \cdot 10^{- 2}}$
52568	Convert to Scientific Notation	(510^4)/(9.2010^7)	$\frac{5 \cdot 10^{4}}{9.2 \cdot 10^{7}}$
52569	Convert to Scientific Notation	((4pi10^-7)(13))/(2pi(0.7510^-2))	$\frac{(4 π \cdot 10^{- 7}) (13)}{2 π (0.75 \cdot 10^{- 2})}$
52570	Convert to Scientific Notation	0.000000000001	$0.\overline{0}$
52571	Convert to Scientific Notation	(2.99810^8)/(4.110^16)	$\frac{2.998 \cdot 10^{8}}{4.1 \cdot 10^{16}}$
52572	Convert to Scientific Notation	0.000000000789	$0.00000000$
52573	Convert to Scientific Notation	7.26	$7.26$
52574	Find the Average Value of the Function	f(x)=4e^x , [-2,2]	$f (x) = 4 e^{x}$ , $[- 2, 2]$
52575	Find the Average Value of the Function	f(x)=e^(sin(x))cos(x) , [0,pi/2]	$f (x) = e^{\sin (x)} \cos (x)$ , $[0, \frac{π}{2}]$
52576	Find the Average Value of the Function	f(x)=cos(x) , [0,pi/2]	$f (x) = \cos (x)$ , $[0, \frac{π}{2}]$
52577	Find the Average Value of the Function	f(x)=(x-7)^2 , [6,9]	$f (x) = {(x - 7)}^{2}$ , $[6, 9]$
52578	Find the Average Value of the Function	f(x)=14x-x^2 , [0,2]	$f (x) = 14 x - x^{2}$ , $[0, 2]$
52579	Find the Average Value of the Function	f(x)=18x-x^2 , [0,5]	$f (x) = 18 x - x^{2}$ , $[0, 5]$
52580	Find the Tangent Line at the Point	square root of x , (81,9)	$\sqrt{x}$ , $(81, 9)$
52581	Find the Tangent Line at the Point	x^3+y^3=6xy-1 , (3,2)	$x^{3} + y^{3} = 6 x y - 1$ , $(3, 2)$
52582	Find the Tangent Line at the Point	y=sin(4x)+sin(4x)^2 , (0,0)	$y = \sin (4 x) + \sin^{2} (4 x)$ , $(0, 0)$
52583	Find the Tangent Line at the Point	y = natural log of x^3 , (1,0)	$y = \ln (x^{3})$ , $(1, 0)$
52584	Find the Tangent Line at the Point	y=4x^2-3x ; (-1,7)	$y = 4 x^{2} - 3 x$ ; $(- 1, 7)$
52585	Find the Tangent Line at the Point	1/(1+x^2) , (-1,1/2)	$\frac{1}{(1 + x^{2})}$ , $(- 1, \frac{1}{2})$
52586	Find the Tangent Line at the Point	y=x^2-2x-4 , (2,-4)	$y = x^{2} - 2 x - 4$ , $(2, - 4)$
52587	Find the Tangent Line at the Point	8e^xcos(x) , (0,8)	$8 e^{x} \cos (x)$ , $(0, 8)$
52588	Find the Tangent Line at the Point	y^5+x^3=y^2+9x , (0,1)	$y^{5} + x^{3} = y^{2} + 9 x$ , $(0, 1)$
52589	Find the Tangent Line at the Point	(e^(4x)-2)^2 , (0,1)	${(e^{4 x} - 2)}^{2}$ , $(0, 1)$
52590	Find the Tangent Line at the Point	x^2y^2=100 , (-5,2)	$x^{2} y^{2} = 100$ , $(- 5, 2)$
52591	Find the Tangent Line at the Point	f(x)=x^2-5 , (3,4)	$f (x) = x^{2} - 5$ , $(3, 4)$
52592	Find the Tangent Line at the Point	y=(8x)/(x^2+1) , (1,4)	$y = \frac{8 x}{(x^{2} + 1)}$ , $(1, 4)$
52593	Find the Tangent Line at the Point	h(t)=t^3 , (-2,-8)	$h (t) = t^{3}$ , $(- 2, - 8)$
52594	Find the Tangent Line at the Point	x^3+y^3=2xy , (1,1)	$x^{3} + y^{3} = 2 x y$ , $(1, 1)$
52595	Find the Tangent Line at the Point	x^2+y^2=25 (3,-4)	$x^{2} + y^{2} = 25$ $(3, - 4)$
52596	Find the Tangent Line at the Point	y=x-x^2 , (1,0)	$y = x - x^{2}$ , $(1, 0)$
52597	Find the Tangent Line at the Point	y=e^xcos(x) , (0,1)	$y = e^{x} \cos (x)$ , $(0, 1)$
52598	Find the Tangent Line at the Point	f(x)=x^2-8 , (2,-4)	$f (x) = x^{2} - 8$ , $(2, - 4)$
52599	Find the Tangent Line at the Point	y=sec(x) , (pi/6,2( square root of 3)/3)	$y = \sec (x)$ , $(\frac{π}{6}, 2 \frac{\sqrt{3}}{3})$
52600	Find the Tangent Line at the Point	y=4x^2-5x , (-1,9)	$y = 4 x^{2} - 5 x$ , $(- 1, 9)$