Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
29301	Solve by Completing the Square	x^2-2x=3	$x^{2} - 2 x = 3$
29302	Find the Maximum/Minimum Value	m(x)=10x-x^2	$m (x) = 10 x - x^{2}$
29303	Solve by Completing the Square	x^2-18x+75=0	$x^{2} - 18 x + 75 = 0$
29304	Find the Maximum/Minimum Value	M(x)=20x-x^2	$M (x) = 20 x - x^{2}$
29305	Solve by Completing the Square	x^2+6x=-2	$x^{2} + 6 x = - 2$
29306	Find the Maximum/Minimum Value	m(x)=4x-x^2	$m (x) = 4 x - x^{2}$
29307	Solve by Completing the Square	x^2+6x-10=0	$x^{2} + 6 x - 10 = 0$
29308	Find the Maximum/Minimum Value	p(x)=-2x^2+40x-72	$p (x) = - 2 x^{2} + 40 x - 72$
29309	Solve by Completing the Square	x^2+8x=48	$x^{2} + 8 x = 48$
29310	Solve by Completing the Square	x^2+8x-20=0	$x^{2} + 8 x - 20 = 0$
29311	Find the Maximum/Minimum Value	p(x)=-5x^2+240x-2635	$p (x) = - 5 x^{2} + 240 x - 2635$
29312	Solve by Completing the Square	x^2+4x=45	$x^{2} + 4 x = 45$
29313	Find the Maximum/Minimum Value	P(x)=-5x^2+260x-3135	$P (x) = - 5 x^{2} + 260 x - 3135$
29314	Solve by Completing the Square	x^2+5x-2=0	$x^{2} + 5 x - 2 = 0$
29315	Find the Maximum/Minimum Value	p(x)=-6x^2+288x-3162	$p (x) = - 6 x^{2} + 288 x - 3162$
29316	Find the Maximum/Minimum Value	r(x)=-3/2(x+10)^2	$r (x) = - \frac{3}{2} {(x + 10)}^{2}$
29317	Find the Maximum/Minimum Value	R(x)=700x-0.5x^2	$R (x) = 700 x - 0.5 x^{2}$
29318	Solve by Completing the Square	x^2+10x+20=0	$x^{2} + 10 x + 20 = 0$
29319	Solve by Completing the Square	x^2+10x=-9	$x^{2} + 10 x = - 9$
29320	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(1,1) , (5,6)	$(1, 1) (5, 6)$
29321	Solve by Completing the Square	x^2+10x-6=0	$x^{2} + 10 x - 6 = 0$
29322	Write in Standard Form	(2+3i)/(2-3i)	$\frac{2 + 3 i}{2 - 3 i}$
29323	Find Amplitude, Period, and Phase Shift	g(x)=4sin(x)+12	$g (x) = 4 \sin (x) + 12$
29324	Solve by Factoring	5/(6w)+1/w=-4	$\frac{5}{6 w} + \frac{1}{w} = - 4$
29325	Find Amplitude, Period, and Phase Shift	g(x)=1/2cos(2x)	$g (x) = \frac{1}{2} \cos (2 x)$
29326	Solve by Factoring	square root of 16x=x+3	$\sqrt{16 x} = x + 3$
29327	Solve by Factoring	square root of 2x-7-2=1	$\sqrt{2 x - 7} - 2 = 1$
29328	Solve by Factoring	n^2-10n+22=-2	$n^{2} - 10 n + 22 = - 2$
29329	Solve by Factoring	1/(x+4)+8/(x^2-16)=1	$\frac{1}{x + 4} + \frac{8}{x^{2} - 16} = 1$
29330	Solve by Factoring	1/x=6/(5x)+1	$\frac{1}{x} = \frac{6}{5 x} + 1$
29331	Solve by Factoring	12/(y+6)+2/y=(8y-6)/(y^2-36)	$\frac{12}{y + 6} + \frac{2}{y} = \frac{8 y - 6}{y^{2} - 36}$
29332	Find Amplitude, Period, and Phase Shift	f(t)=2cos(2t-pi/4)+1	$f (t) = 2 \cos (2 t - \frac{π}{4}) + 1$
29333	Solve by Factoring	1/(n^2)+1/n=1/(2n^2)	$\frac{1}{n^{2}} + \frac{1}{n} = \frac{1}{2 n^{2}}$
29334	Expand the Trigonometric Expression	(2x+10y)^15	${(2 x + 10 y)}^{15}$
29335	Expand the Trigonometric Expression	(3e^2-5f)^3	${(3 e^{2} - 5 f)}^{3}$
29336	Solve by Factoring	2/(3x)+1/6=4/(3x)	$\frac{2}{3 x} + \frac{1}{6} = \frac{4}{3 x}$
29337	Expand the Trigonometric Expression	(3k+4)(9k+5)	$(3 k + 4) (9 k + 5)$
29338	Expand the Trigonometric Expression	(3x+2y)^9	${(3 x + 2 y)}^{9}$
29339	Solve by Factoring	x^4+x^2-12=0	$x^{4} + x^{2} - 12 = 0$
29340	Expand the Trigonometric Expression	(3x-3y)^7	${(3 x - 3 y)}^{7}$
29341	Solve by Factoring	x^4+12x^2+32=0	$x^{4} + 12 x^{2} + 32 = 0$
29342	Expand the Trigonometric Expression	1/2(2a-6b+8)	$\frac{1}{2} (2 a - 6 b + 8)$
29343	Solve by Factoring	x^4+8x^2-9=0	$x^{4} + 8 x^{2} - 9 = 0$
29344	Expand the Trigonometric Expression	(1+x)(x^2-5x-6)	$(1 + x) (x^{2} - 5 x - 6)$
29345	Solve by Factoring	x^4-13x^2=-36	$x^{4} - 13 x^{2} = - 36$
29346	Expand the Trigonometric Expression	(c+8)(8c+2)	$(c + 8) (8 c + 2)$
29347	Expand the Trigonometric Expression	(n-4)^6	${(n - 4)}^{6}$
29348	Solve by Factoring	y^3=64y	$y^{3} = 64 y$
29349	Expand the Trigonometric Expression	(n^2-3n+1)(2n+3)	$(n^{2} - 3 n + 1) (2 n + 3)$
29350	Solve by Factoring	y^3-5y^2=0	$y^{3} - 5 y^{2} = 0$
29351	Expand the Trigonometric Expression	(9h+3)(-h-1)	$(9 h + 3) (- h - 1)$
29352	Solve by Factoring	z^2-12z+36=0	$z^{2} - 12 z + 36 = 0$
29353	Expand the Trigonometric Expression	(-a)^3	${(- a)}^{3}$
29354	Solve by Factoring	z^4-10z^2+9=0	$z^{4} - 10 z^{2} + 9 = 0$
29355	Expand the Trigonometric Expression	-r+8(-5r-2)	$- r + 8 (- 5 r - 2)$
29356	Solve by Factoring	2x^2+3x+6=0	$2 x^{2} + 3 x + 6 = 0$
29357	Expand the Trigonometric Expression	6(x-4y)	$6 (x - 4 y)$
29358	Solve by Factoring	2x^3+x^2-18x-9=0	$2 x^{3} + x^{2} - 18 x - 9 = 0$
29359	Expand the Trigonometric Expression	3n+2(-2n-1)	$3 n + 2 (- 2 n - 1)$
29360	Solve by Factoring	12x-4=3x^3-x^2	$12 x - 4 = 3 x^{3} - x^{2}$
29361	Expand the Trigonometric Expression	(x-9)(x+2)	$(x - 9) (x + 2)$
29362	Solve by Factoring	x^3+x^2-16x-16=0	$x^{3} + x^{2} - 16 x - 16 = 0$
29363	Solve by Factoring	x^2-3x=10	$x^{2} - 3 x = 10$
29364	Solve by Factoring	x^2+10x+21=0	$x^{2} + 10 x + 21 = 0$
29365	Find the Focus	y^2=-15x	$y^{2} = - 15 x$
29366	Solve by Factoring	x^2+6x-7=0	$x^{2} + 6 x - 7 = 0$
29367	Find the Focus	y^2-10y+4x+25=0	$y^{2} - 10 y + 4 x + 25 = 0$
29368	Solve by Factoring	x^2+8x-20=0	$x^{2} + 8 x - 20 = 0$
29369	Find the Focus	y^2-10y+8x+25=0	$y^{2} - 10 y + 8 x + 25 = 0$
29370	Solve by Factoring	x^2=81	$x^{2} = 81$
29371	Find the Focus	y-1=1/4(x-1)^2	$y - 1 = \frac{1}{4} {(x - 1)}^{2}$
29372	Solve by Factoring	x^2=8x-15	$x^{2} = 8 x - 15$
29373	Find the Focus	x^2-16y=0	$x^{2} - 16 y = 0$
29374	Solve by Factoring	x^2-12x+27=0	$x^{2} - 12 x + 27 = 0$
29375	Find the Focus	x=-(1/12)y^2	$x = - (\frac{1}{12}) y^{2}$
29376	Solve by Factoring	x/(x-4)=4/(x-4)+5	$\frac{x}{x - 4} = \frac{4}{x - 4} + 5$
29377	Find the Focus	x=(1/28)y^2	$x = (\frac{1}{28}) y^{2}$
29378	Solve by Factoring	x^(2/3)-6x^(1/3)+8=0	$x^{\frac{2}{3}} - 6 x^{\frac{1}{3}} + 8 = 0$
29379	Solve by Factoring	square root of 7x-6=6	$\sqrt{7 x - 6} = 6$
29380	Find the Focus	x^2+4x+4y=4	$x^{2} + 4 x + 4 y = 4$
29381	Solve by Factoring	2x^2-3x-2=0	$2 x^{2} - 3 x - 2 = 0$
29382	Solve by Factoring	square root of 3x-8-4=0	$\sqrt{3 x - 8} - 4 = 0$
29383	Find the Focus	x=-2(y-1)^2	$x = - 2 {(y - 1)}^{2}$
29384	Solve by Factoring	square root of x+3-1=x	$\sqrt{x + 3} - 1 = x$
29385	Find the Focus	(x+3)^2=8(y-1)	${(x + 3)}^{2} = 8 (y - 1)$
29386	Solve by Factoring	square root of x=12	$\sqrt{x} = 12$
29387	Solve by Factoring	square root of x+2=0	$\sqrt{x} + 2 = 0$
29388	Find @FORMULA	f(x)=3x^2-x	$f (x) = 3 x^{2} - x$
29389	Solve by Factoring	square root of x-8=5- square root of x+7	$\sqrt{x - 8} = 5 - \sqrt{x + 7}$
29390	Solve by Factoring	square root of x-7=7- square root of x	$\sqrt{x - 7} = 7 - \sqrt{x}$
29391	Find the Midpoint	(1,-6) , (-3,4)	$(1, - 6) (- 3, 4)$
29392	Find the Midpoint	(0,-8) , (6,-9)	$(0, - 8) (6, - 9)$
29393	Find the Midpoint	(1,4) , (9,16)	$(1, 4) (9, 16)$
29394	Find the Asymptotes	y=10/x	$y = \frac{10}{x}$
29395	Find the Midpoint	(12,4) , (-8,2)	$(12, 4) (- 8, 2)$
29396	Find the Asymptotes	y=2/(x-6)	$y = \frac{2}{x - 6}$
29397	Find the Midpoint	(1,-9) , (5,6)	$(1, - 9) (5, 6)$
29398	Find the Degree	7	$7$
29399	Find the Midpoint	(-2,-2) , (4,6)	$(- 2, - 2) (4, 6)$
29400	Find the Degree	(5pi)/6	$\frac{5 π}{6}$