Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
17801	Find the Vertex Form	x^2-y^2=9	$x^{2} - y^{2} = 9$
17802	Find the Vertex Form	x^2-y^2-4x-12y-33=0	$x^{2} - y^{2} - 4 x - 12 y - 33 = 0$
17803	Find the Vertex Form	x^2-y^2-6x-10y-17=0	$x^{2} - y^{2} - 6 x - 10 y - 17 = 0$
17804	Find the Vertex Form	x^2-y^2-6x-12y-28=0	$x^{2} - y^{2} - 6 x - 12 y - 28 = 0$
17805	Find the Vertex Form	x^2-y^2-6x-8y-8=0	$x^{2} - y^{2} - 6 x - 8 y - 8 = 0$
17806	Factor over the Complex Numbers	sin(x)+cos(x)	$\sin (x) + \cos (x)$
17807	Factor over the Complex Numbers	xx+3x+6	$x x + 3 x + 6$
17808	Factor over the Complex Numbers	tan((7pi)/12)	$\tan (\frac{7 π}{12})$
17809	Factor over the Complex Numbers	cos(-t)sec(t)	$\cos (- t) \sec (t)$
17810	Find the Vertex Form	(x-3)^2=12(y-7)	${(x - 3)}^{2} = 12 (y - 7)$
17811	Find the Vertex Form	x^2=4y	$x^{2} = 4 y$
17812	Factor over the Complex Numbers	cos(105)	$\cos (105)$
17813	Find the Vertex Form	y^2=16x	$y^{2} = 16 x$
17814	Find the Vertex Form	y^2=8x	$y^{2} = 8 x$
17815	Find the Vertex Form	y^2=-8x	$y^{2} = - 8 x$
17816	Find the Vertex Form	3x^2+6x+15=12y	$3 x^{2} + 6 x + 15 = 12 y$
17817	Find Pivot Positions and Pivot Columns	[[x,6,5],[1,x,0],[1,2,-5]]=40	$[\begin{array}{c} x & 6 & 5 \\ 1 & x & 0 \\ 1 & 2 & - 5 \end{array}] = 40$
17818	Find the Remainder	(15x^3+22x^2+5x+6)÷(5x-1)	$(15 x^{3} + 22 x^{2} + 5 x + 6) \div (5 x - 1)$
17819	Find the Vertex Form	y=7x-x^2	$y = 7 x - x^{2}$
17820	Find the Vertex Form	y=4x^2-24x+31	$y = 4 x^{2} - 24 x + 31$
17821	Find the Vertex Form	y=3x^2+2x-5	$y = 3 x^{2} + 2 x - 5$
17822	Find the Vertex Form	y=3x^2+4-3	$y = 3 x^{2} + 4 - 3$
17823	Find the Vertex Form	y=3x^2-12x+7	$y = 3 x^{2} - 12 x + 7$
17824	Find the Remainder	(x^2+10x+21)/(x+3)	$\frac{x^{2} + 10 x + 21}{x + 3}$
17825	Find the Remainder	(x^5+x^3-x)/(x-3)	$\frac{x^{5} + x^{3} - x}{x - 3}$
17826	Find the Remainder	(12x^2+35x+25)/(3x+5)	$\frac{12 x^{2} + 35 x + 25}{3 x + 5}$
17827	Find the Vertex Form	y=2x^2+3x-6	$y = 2 x^{2} + 3 x - 6$
17828	Find the Vertex Form	y=3x^2+5x+8	$y = 3 x^{2} + 5 x + 8$
17829	Find the Vertex Form	y=x^2-x-6	$y = x^{2} - x - 6$
17830	Find the Vertex Form	y=-2x^2+8x-11	$y = - 2 x^{2} + 8 x - 11$
17831	Find the Vertex Form	y=x^2-14x+53	$y = x^{2} - 14 x + 53$
17832	Find the Vertex Form	y=x^2-10x+21	$y = x^{2} - 10 x + 21$
17833	Find the Vertex Form	y=x^2+20x	$y = x^{2} + 20 x$
17834	Find the Vertex Form	y=x^2+12x+30	$y = x^{2} + 12 x + 30$
17835	Find the Vertex Form	y^2=6x	$y^{2} = 6 x$
17836	Find the Vertex Form	y=1/4*(x^2-2x+5)	$y = \frac{1}{4} \cdot (x^{2} - 2 x + 5)$
17837	Find the Vertex Form	4y^2+4x-12=0	$4 y^{2} + 4 x - 12 = 0$
17838	Find the Vertex Form	-2y^2+x-4y+1=0	$- 2 y^{2} + x - 4 y + 1 = 0$
17839	Find the Vertex Form	x-7y^2=0	$x - 7 y^{2} = 0$
17840	Find the Vertex Form	x=y^2-6y+6	$x = y^{2} - 6 y + 6$
17841	Factor over the Complex Numbers	square root of 2cos(x)-1	$\sqrt{2} \cos (x) - 1$
17842	Factor over the Complex Numbers	x^2+4	$x^{2} + 4$
17843	Factor over the Complex Numbers	(2(cos(75)+isin(75)))^3	${(2 (\cos (75) + i \sin (75)))}^{3}$
17844	Factor over the Complex Numbers	(csc(x))/(cot(x))	$\frac{\csc (x)}{\cot (x)}$
17845	Find the Focus	y^2=16x	$y^{2} = 16 x$
17846	Factor over the Complex Numbers	(x^2+3)^(-1/3)-2/3*(x^2(x^2+3)^(-4/3))	${(x^{2} + 3)}^{- \frac{1}{3}} - \frac{2}{3} \cdot (x^{2} {(x^{2} + 3)}^{- \frac{4}{3}})$
17847	Convert the Slope to Percent Grade	3.5	$3.5$
17848	Factor over the Complex Numbers	cos(pi/2)	$\cos (\frac{π}{2})$
17849	Factor over the Complex Numbers	cos(2x)	$\cos (2 x)$
17850	Factor over the Complex Numbers	cos(57)	$\cos (57)$
17851	Factor over the Complex Numbers	cos(x)	$\cos (x)$
17852	Factor over the Complex Numbers	2sin(2(x+pi/3))+2	$2 \sin (2 (x + \frac{π}{3})) + 2$
17853	Factor over the Complex Numbers	4x^4+11x^3+44x-12	$4 x^{4} + 11 x^{3} + 44 x - 12$
17854	Factor over the Complex Numbers	5x^2+10x+10	$5 x^{2} + 10 x + 10$
17855	Factor over the Complex Numbers	x^2-2x-3	$x^{2} - 2 x - 3$
17856	Factor over the Complex Numbers	x^3+8x^2+8x+7	$x^{3} + 8 x^{2} + 8 x + 7$
17857	Factor over the Complex Numbers	x^2-2x+4	$x^{2} - 2 x + 4$
17858	Factor over the Complex Numbers	x^2+2x+2	$x^{2} + 2 x + 2$
17859	Factor over the Complex Numbers	x^3-x^2+20x-78	$x^{3} - x^{2} + 20 x - 78$
17860	Factor over the Complex Numbers	x^3-64	$x^{3} - 64$
17861	Factor over the Complex Numbers	x^3-7x^2+16x-10	$x^{3} - 7 x^{2} + 16 x - 10$
17862	Factor over the Complex Numbers	x^2-6x+13	$x^{2} - 6 x + 13$
17863	Factor over the Complex Numbers	x^4+4x^2	$x^{4} + 4 x^{2}$
17864	Factor over the Complex Numbers	x^4+1	$x^{4} + 1$
17865	Factor over the Complex Numbers	x^4+10x^2+25	$x^{4} + 10 x^{2} + 25$
17866	Factor over the Complex Numbers	x^5-16x	$x^{5} - 16 x$
17867	Prove that a Root is on the Interval	sin(x)=2/9 , 0<x<pi/2	$\sin (x) = \frac{2}{9}$ , $0 < x < \frac{π}{2}$
17868	Find the Focus	y^2=-32x	$y^{2} = - 32 x$
17869	Find the Distance	(5,10,-3) , (-1,4,-2)	$(5, 10, - 3) (- 1, 4, - 2)$
17870	Prove that a Root is on the Interval	cos(2x)=( square root of 3)/2 , (0,2pi)	$\cos (2 x) = \frac{\sqrt{3}}{2}$ , $(0, 2 π)$
17871	Find the Intersection of the Line Perpendicular to Plane 1 Through the Origin and Plane 2	f(2)=-1 , f^-1(9)=4	$f (2) = - 1$ , $f^{- 1} (9) = 4$
17872	Prove that a Root is on the Interval	f(x)=12x^4-5x^2+6x-1 , [-2,0]	$f (x) = 12 x^{4} - 5 x^{2} + 6 x - 1$ , $[- 2, 0]$
17873	Prove that a Root is on the Interval	f(x)=4x^3+2x^2-6x+7 , [-3,-1]	$f (x) = 4 x^{3} + 2 x^{2} - 6 x + 7$ , $[- 3, - 1]$
17874	Find the GCF	20 , 28 , 24	$20$ , $28$ , $24$
17875	Find the GCF	4 , 3 , 5 , 6 , 8	$4$ , $3$ , $5$ , $6$ , $8$
17876	Find the GCF	7x^3-2 , 0x^2+240 , 0x-8 , 0 , 0	$7 x^{3} - 2$ , $0 x^{2} + 240$ , $0 x - 8$ , $0$ , $0$
17877	Find the LCM Using the GCF	1/3 , 2 , 12 , 72	$\frac{1}{3}$ , $2$ , $12$ , $72$
17878	Find the GCF	2 , y , 18 , -54 , 162	$2$ , $y$ , $18$ , $- 54$ , $162$
17879	Find the GCF	15abc , 35a^2c , 105a	$15 a b c$ , $35 a^{2} c$ , $105 a$
17880	Find the GCF	y-x^2+1 , y-x+3	$y - x^{2} + 1$ , $y - x + 3$
17881	Evaluate	\|-5+12i\|	$\| - 5 + 12 i \|$
17882	Find the Vertex	y=\|x-1\|+2	$y = \| x - 1 \| + 2$
17883	Find the Start Point Given Mid (-1,2) and End (-2,-1)	(-1,2) , (-2,-1)	$(- 1, 2) (- 2, - 1)$
17884	Find the Start Point Given Mid (5,8) and End (13,10)	(5,8) , (13,10)	$(5, 8)$ , $(13, 10)$
17885	Find the y-intercept	y=sec(x)	$y = \sec (x)$
17886	Find the y-intercept	x+2y-1=0	$x + 2 y - 1 = 0$
17887	Find the Domain and Range	y=x^(1/8)	$y = x^{\frac{1}{8}}$
17888	Find the Domain and Range	x=y^3	$x = y^{3}$
17889	Find the Domain and Range	y=\|x-2\|	$y = \| x - 2 \|$
17890	Find the Domain and Range	y=x^2-6x-5	$y = x^{2} - 6 x - 5$
17891	Find the Domain and Range	y=2x^2-12x+19	$y = 2 x^{2} - 12 x + 19$
17892	Find the Domain and Range	y=4x^2+11x+2	$y = 4 x^{2} + 11 x + 2$
17893	Find the Symmetry	x^2-xy+y^2=6	$x^{2} - x y + y^{2} = 6$
17894	Find the Domain and Range	y = natural log of x+3+2	$y = \ln (x + 3) + 2$
17895	Find the Domain and Range	y=sec(2x)	$y = \sec (2 x)$
17896	Find the Domain and Range	y = log of x-2	$y = \log (x - 2)$
17897	Find the Symmetry	x^2+8x-9	$x^{2} + 8 x - 9$
17898	Find the Symmetry	f(x)=1/(x^2-4)	$f (x) = \frac{1}{x^{2} - 4}$
17899	Find the Symmetry	y^2+xy+x^2=24	$y^{2} + x y + x^{2} = 24$
17900	Find the Symmetry	f(x)=(x)	$f (x) = (x)$