Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
24001	Solve by Completing the Square	x^2-6x=13	$x^{2} - 6 x = 13$
24002	Solve by Completing the Square	x^2-6x-16=0	$x^{2} - 6 x - 16 = 0$
24003	Solve by Completing the Square	x^2-4x-6=0	$x^{2} - 4 x - 6 = 0$
24004	Solve by Completing the Square	x^2-4x-10=0	$x^{2} - 4 x - 10 = 0$
24005	Solve by Completing the Square	x^2-x-3=0	$x^{2} - x - 3 = 0$
24006	Use the Rational Roots Test to Find All Possible Roots	f(x)=-4x^3+15x^2-8x-3	$f (x) = - 4 x^{3} + 15 x^{2} - 8 x - 3$
24007	Solve by Completing the Square	3x^2-6x=24	$3 x^{2} - 6 x = 24$
24008	Use the Rational Roots Test to Find All Possible Roots	f(x)=4x^4-x^3+2x^2-4x-22	$f (x) = 4 x^{4} - x^{3} + 2 x^{2} - 4 x - 22$
24009	Solve by Completing the Square	4x^2-4x-1=0	$4 x^{2} - 4 x - 1 = 0$
24010	Solve by Completing the Square	3x^2+x-4=0	$3 x^{2} + x - 4 = 0$
24011	Solve by Completing the Square	2x^2-7x-17=0	$2 x^{2} - 7 x - 17 = 0$
24012	Use the Rational Roots Test to Find All Possible Roots	f(x)=3x^12-17x^8+11x^4-6x+23	$f (x) = 3 x^{12} - 17 x^{8} + 11 x^{4} - 6 x + 23$
24013	Solve by Completing the Square	8x^2+4x-4=0	$8 x^{2} + 4 x - 4 = 0$
24014	Use the Rational Roots Test to Find All Possible Roots	f(x)=-3x^3+20x^2-36x+16	$f (x) = - 3 x^{3} + 20 x^{2} - 36 x + 16$
24015	Solve by Factoring	(-2x+6)^(1/5)=(-8+10x)^(1/5)	${(- 2 x + 6)}^{\frac{1}{5}} = {(- 8 + 10 x)}^{\frac{1}{5}}$
24016	Solve by Factoring	(x^2-6x)^2-11(x^2-6x)-80=0	${(x^{2} - 6 x)}^{2} - 11 (x^{2} - 6 x) - 80 = 0$
24017	Use the Rational Roots Test to Find All Possible Roots	f(x)=3x^4-2x^3+11x^2-8x-4	$f (x) = 3 x^{4} - 2 x^{3} + 11 x^{2} - 8 x - 4$
24018	Find the Roots (Zeros)	f(x)=x^3+x^2-4x-4	$f (x) = x^{3} + x^{2} - 4 x - 4$
24019	Use the Rational Roots Test to Find All Possible Roots	f(x)=(3x^2-4x-5)(2x^6-5)	$f (x) = (3 x^{2} - 4 x - 5) (2 x^{6} - 5)$
24020	Find the Roots (Zeros)	f(x)=x^3-7x^2+7x+15	$f (x) = x^{3} - 7 x^{2} + 7 x + 15$
24021	Use the Rational Roots Test to Find All Possible Roots	f(x)=10x^3+53x^2+14x-5	$f (x) = 10 x^{3} + 53 x^{2} + 14 x - 5$
24022	Find the Roots (Zeros)	f(x)=x^3-8x^2-x+8	$f (x) = x^{3} - 8 x^{2} - x + 8$
24023	Use the Rational Roots Test to Find All Possible Roots	f(t)=25t^3-5t^2+8t+2	$f (t) = 25 t^{3} - 5 t^{2} + 8 t + 2$
24024	Find the Roots (Zeros)	f(x)=x^4-4x^2	$f (x) = x^{4} - 4 x^{2}$
24025	Use the Rational Roots Test to Find All Possible Roots	f(x)=-7x^4-12x^3+9x^2-17x+3	$f (x) = - 7 x^{4} - 12 x^{3} + 9 x^{2} - 17 x + 3$
24026	Find the Roots (Zeros)	f(x)=x^2-2x-4	$f (x) = x^{2} - 2 x - 4$
24027	Find the Reciprocal	(11pi)/6	$\frac{11 π}{6}$
24028	Find the Roots (Zeros)	x^3-2x^2+10x+136=0	$x^{3} - 2 x^{2} + 10 x + 136 = 0$
24029	Find the Reciprocal	6 4/5	$6 \frac{4}{5}$
24030	Find the Roots (Zeros)	x^4-14x^2+45=0	$x^{4} - 14 x^{2} + 45 = 0$
24031	Find the Domain and Range	(-3,2) , (2,-4) , (2,6) , (-3,-5) , (0,-3)	$(- 3, 2) (2, - 4) (2, 6) (- 3, - 5) (0, - 3)$
24032	Solve by Factoring	3x^2-x-2=0	$3 x^{2} - x - 2 = 0$
24033	Find the Domain and Range	(-1,-7)	$(- 1, - 7)$
24034	Solve by Factoring	3x = square root of 26x+3	$3 x = \sqrt{26 x + 3}$
24035	Solve by Factoring	3x = square root of 1+8x	$3 x = \sqrt{1 + 8 x}$
24036	Solve by Factoring	3x(x-5)=7x^2-16x	$3 x (x - 5) = 7 x^{2} - 16 x$
24037	Find the Domain and Range	(-2,0) , (1,0) , (0,1)	$(- 2, 0)$ , $(1, 0)$ , $(0, 1)$
24038	Solve by Factoring	3+(4-x)^(3/2)=11	$3 + {(4 - x)}^{\frac{3}{2}} = 11$
24039	Find the Domain and Range	{(2,3),(3,4),(-2,5),(-1,-2)}	${(2, 3), (3, 4), (- 2, 5), (- 1, - 2)}$
24040	Solve by Factoring	4x^2-8x-5=0	$4 x^{2} - 8 x - 5 = 0$
24041	Find the Domain and Range	{(-3,0),(-2,-5),(-2,6),(3,7),(0,-17)}	${(- 3, 0), (- 2, - 5), (- 2, 6), (3, 7), (0, - 17)}$
24042	Find the Slope and y-intercept	y=5x+3	$y = 5 x + 3$
24043	Find the Domain and Range	(0,2) , (1,-2) , (2,4)	$(0, 2)$ , $(1, - 2)$ , $(2, 4)$
24044	Find the Slope and y-intercept	y=-x+2	$y = - x + 2$
24045	Find the Domain and Range	(0,125)	$(0, 125)$
24046	Find the Slope and y-intercept	y=1/4x	$y = \frac{1}{4} x$
24047	Find the Domain and Range	(2,3) , (3,4) , (-2,5) , (-1,-2)	$[(2, 3), (3, 4), (- 2, 5), (- 1, - 2)]$
24048	Find the Slope and y-intercept	3x-5y=15	$3 x - 5 y = 15$
24049	Find the Domain and Range	P(x)={(1,11),(2,22),(3,33),(4,44)}	$P (x) = {(1, 11), (2, 22), (3, 33), (4, 44)}$
24050	Find the Slope and y-intercept	x+y=5	$x + y = 5$
24051	Find the Domain and Range	(6,9) , (6,10) , (6,11)	$(6, 9)$ , $(6, 10)$ , $(6, 11)$
24052	Solve by Factoring	x+5/x=-6	$x + \frac{5}{x} = - 6$
24053	Find the Leading Coefficient	3x^4+x+2x^3	$3 x^{4} + x + 2 x^{3}$
24054	Solve by Factoring	x-5 square root of x+6=0	$x - 5 \sqrt{x} + 6 = 0$
24055	Find the Leading Coefficient	5x+2-3x^2	$5 x + 2 - 3 x^{2}$
24056	Solve by Factoring	x-6 = square root of 3x	$x - 6 = \sqrt{3 x}$
24057	Find the Leading Coefficient	x^7y	$x^{7} y$
24058	Find the x and y Intercepts	3x-2y=8	$3 x - 2 y = 8$
24059	Write in Slope-Intercept Form	4x+5y=20	$4 x + 5 y = 20$
24060	Write in Slope-Intercept Form	x+3y=12	$x + 3 y = 12$
24061	Write in Slope-Intercept Form	x-y=6	$x - y = 6$
24062	Solve by Factoring	square root of x=7	$\sqrt{x} = 7$
24063	Find the x and y Intercepts	y^2=x+100	$y^{2} = x + 100$
24064	Find the x and y Intercepts	(x^2)/9+(y^2)/4=1	$\frac{x^{2}}{9} + \frac{y^{2}}{4} = 1$
24065	Write as a Function of x	x^2+y^2=25	$x^{2} + y^{2} = 25$
24066	Find the Discriminant	x^2+5x+8=0	$x^{2} + 5 x + 8 = 0$
24067	Find the Discriminant	4x^2-3x-8=0	$4 x^{2} - 3 x - 8 = 0$
24068	Find Amplitude, Period, and Phase Shift	y=3sin(2x-1)+4	$y = 3 \sin (2 x - 1) + 4$
24069	Find the Discriminant	4x^2+4x+1=0	$4 x^{2} + 4 x + 1 = 0$
24070	Calculate the Square Root	square root of 1300	$\sqrt{1300}$
24071	Calculate the Square Root	square root of 132	$\sqrt{132}$
24072	Calculate the Square Root	square root of 1.44	$\sqrt{1.44}$
24073	Find Amplitude, Period, and Phase Shift	y=2cos(7x+5)+1	$y = 2 \cos (7 x + 5) + 1$
24074	Calculate the Square Root	square root of 265	$\sqrt{265}$
24075	Find Amplitude, Period, and Phase Shift	y=3/2cot(3/5x)+5	$y = \frac{3}{2} \cot (\frac{3}{5} x) + 5$
24076	Calculate the Square Root	square root of 392	$\sqrt{392}$
24077	Calculate the Square Root	square root of 67	$\sqrt{67}$
24078	Find the Next Term	100 , 20 , 4 , 4/5	$100$ , $20$ , $4$ , $\frac{4}{5}$
24079	Find the Next Term	1 , 4 , 16 , 64	$1$ , $4$ , $16$ , $64$
24080	Solve Using the Quadratic Formula	x(9x-4)=13	$x (9 x - 4) = 13$
24081	Find the Next Term	4 , 8 , 16 , 32 , 64	$4$ , $8$ , $16$ , $32$ , $64$
24082	Find the Discriminant	8x^2+5x+6=0	$8 x^{2} + 5 x + 6 = 0$
24083	Find the Next Term	3 , -6 , 12 , -24 , 48 , -96	$3$ , $- 6$ , $12$ , $- 24$ , $48$ , $- 96$
24084	Solve Using the Quadratic Formula	4x^2-18x+20=0	$4 x^{2} - 18 x + 20 = 0$
24085	Find the Next Term	3 , 5 , 9 , 15 , 23	$3$ , $5$ , $9$ , $15$ , $23$
24086	Solve Using the Quadratic Formula	4x^2+4x-2=0	$4 x^{2} + 4 x - 2 = 0$
24087	Simplify	5(5-3y)	$5 (5 - 3 y)$
24088	Solve Using the Quadratic Formula	5x^2-4x-1=0	$5 x^{2} - 4 x - 1 = 0$
24089	Find All Complex Number Solutions	((5-3i)(x+iy))/(4-5i)=(2+i)^2-(3-4i)^2	$\frac{(5 - 3 i) (x + i y)}{(4 - 5 i)} = {(2 + i)}^{2} - {(3 - 4 i)}^{2}$
24090	Solve Using the Quadratic Formula	5x^2+7x-6=0	$5 x^{2} + 7 x - 6 = 0$
24091	Find the Other Trig Values in Quadrant II	square root of 3tan(theta)-1=0	$\sqrt{3} \tan (θ) - 1 = 0$
24092	Solve Using the Quadratic Formula	6x^2-5x-1=0	$6 x^{2} - 5 x - 1 = 0$
24093	Find the Other Trig Values in Quadrant III	sin(x)=0	$\sin (x) = 0$
24094	Solve Using the Quadratic Formula	-6x^2+3x+19=0	$- 6 x^{2} + 3 x + 19 = 0$
24095	Solve Using the Quadratic Formula	7x^2-16x=8	$7 x^{2} - 16 x = 8$
24096	Solve Using the Quadratic Formula	x^2+8x+17=0	$x^{2} + 8 x + 17 = 0$
24097	Solve Using the Quadratic Formula	x^2+9x=-20	$x^{2} + 9 x = - 20$
24098	Find the Other Trig Values in Quadrant II	sin(x)=0	$\sin (x) = 0$
24099	Solve Using the Quadratic Formula	x^2+8x=4	$x^{2} + 8 x = 4$
24100	Solve Using the Quadratic Formula	x^2+x+7=0	$x^{2} + x + 7 = 0$