Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
135901	Determine the Possible Number of Real Roots	f(x)=x^3+4x^2-4x-16	$f (x) = x^{3} + 4 x^{2} - 4 x - 16$
135902	Determine the Possible Number of Real Roots	f(x)=6x^4+3x^3-4x^2+2	$f (x) = 6 x^{4} + 3 x^{3} - 4 x^{2} + 2$
135903	Determine the Possible Number of Real Roots	f(x)=3x^3+12x^2+3x-18	$f (x) = 3 x^{3} + 12 x^{2} + 3 x - 18$
135904	Determine the Possible Number of Real Roots	f(x)=3x^4+13x^3+x^2-13x-4	$f (x) = 3 x^{4} + 13 x^{3} + x^{2} - 13 x - 4$
135905	Determine the Possible Number of Real Roots	g(x)=3x^5-2x^3-4x^2+8x-1	$g (x) = 3 x^{5} - 2 x^{3} - 4 x^{2} + 8 x - 1$
135906	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(-4,-8) , (0,0)	$(- 4, - 8) (0, 0)$
135907	Convert to Set Notation	\|2x-6\|<4	$\| 2 x - 6 \| < 4$
135908	Convert to Set Notation	2\|5-2x\|-3<=15	$2 \| 5 - 2 x \| - 3 \leq 15$
135909	Convert to Set Notation	-1<x+2<=7	$- 1 < x + 2 \leq 7$
135910	Identify the Common Factors	15y^3	$15 y^{3}$
135911	Evaluate the Summation	sum from n=3 to 6 of 2n^2+3	$\sum_{n = 3}^{6} 2 n^{2} + 3$
135912	Find the Other Trig Values in Quadrant IV	cos(x)=2/( square root of 13)	$\cos (x) = \frac{2}{\sqrt{13}}$
135913	Find the Other Trig Values in Quadrant IV	sin(x)=-24/25	$\sin (x) = - \frac{24}{25}$
135914	Find the Other Trig Values in Quadrant IV	sin(x)=-13/85	$\sin (x) = - \frac{13}{85}$
135915	Find All Complex Number Solutions	x^2+36=0	$x^{2} + 36 = 0$
135916	Find All Complex Number Solutions	a_n=4n-3	$a_{n} = 4 n - 3$
135917	Find All Complex Number Solutions	x^2=36	$x^{2} = 36$
135918	Find All Complex Number Solutions	x^2-9=0	$x^{2} - 9 = 0$
135919	Find the Other Trig Values in Quadrant I	cos((2pi)/7)	$\cos (\frac{2 π}{7})$
135920	Find All Complex Number Solutions	z=-1+i	$z = - 1 + i$
135921	Find All Complex Number Solutions	-4x^2-12x-9=0	$- 4 x^{2} - 12 x - 9 = 0$
135922	Find All Complex Number Solutions	2x^2-3x+6=0	$2 x^{2} - 3 x + 6 = 0$
135923	Find All Complex Number Solutions	2x^2-9x+4=0	$2 x^{2} - 9 x + 4 = 0$
135924	Find the Other Trig Values in Quadrant III	cos(x)=-2/( square root of 13)	$\cos (x) = - \frac{2}{\sqrt{13}}$
135925	Find the Other Trig Values in Quadrant I	cos(0)=( square root of 3)/2	$\cos (0) = \frac{\sqrt{3}}{2}$
135926	Find the Other Trig Values in Quadrant I	sin((3pi)/4)	$\sin (\frac{3 π}{4})$
135927	Convert from Interval to Inequality	[(negative infinity,7) union (12,infinity)] intersect [10,15)	$[(- \infty, 7) \cup (12, \infty)] \cap [10, 15)$
135928	Convert from Interval to Inequality	[3,6)	$[3, 6)$
135929	Round to the Nearest Ten	12.5	$12.5$
135930	Round to the Nearest Ten	89	$89$
135931	Find the Constant of Variation	4y-7x=0	$4 y - 7 x = 0$
135932	Find the Constant of Variation	3y=2x	$3 y = 2 x$
135933	Find the Constant of Variation	4xy=20	$4 x y = 20$
135934	Find the Constant of Variation	15y=3x	$15 y = 3 x$
135935	Find the Constant of Variation	-5y=-4x	$- 5 y = - 4 x$
135936	Find the Constant of Variation	x=6y	$x = 6 y$
135937	Find the Constant of Variation	y=2x+3	$y = 2 x + 3$
135938	Find the Constant of Variation	y=12x	$y = 12 x$
135939	Find the Constant of Variation	y=x	$y = x$
135940	Convert from Interval to Inequality	(negative infinity,4]	$(- \infty, 4]$
135941	Find the Inverse	y=6x-8	$y = 6 x - 8$
135942	Find the Points of Intersection	y = square root of 36-x^2 , y=8-x	$y = \sqrt{36 - x^{2}}$ , $y = 8 - x$
135943	Find the Points of Intersection	y=5 square root of xy=6-x	$y = 5 \sqrt{x} y = 6 - x$
135944	Find the Points of Intersection	y<=xy>=4-x	$y \leq x y \geq 4 - x$
135945	Find the Points of Intersection	y=2x y=x^2-3	$y = 2 x$ $y = x^{2} - 3$
135946	Find the Points of Intersection	x=-6yx=y^2-4y	$x = - 6 y x = y^{2} - 4 y$
135947	Find the Points of Intersection	-x-4y=3x+4y=-3	$- x - 4 y = 3 x + 4 y = - 3$
135948	Round to the Nearest Thousandth	2.22554092	$2.22554092$
135949	Round to the Nearest Thousandth	9.0056	$9.0056$
135950	Round to the Nearest Thousandth	9.006	$9.006$
135951	Round to the Nearest Thousandth	9.006271	$9.006271$
135952	Find the Points of Intersection	2x+4y=227x+y=12	$2 x + 4 y = 227 x + y = 12$
135953	Find the Points of Intersection	y=x^2-3y=-x^2-1	$y = x^{2} - 3 y = - x^{2} - 1$
135954	Find the Points of Intersection	y=x^2-5y=x^2-5x	$y = x^{2} - 5 y = x^{2} - 5 x$
135955	Find the Points of Intersection	y=x^2+5y=-x+7	$y = x^{2} + 5 y = - x + 7$
135956	Find the Points of Intersection	y=x^2+6x+1y=-2x-14	$y = x^{2} + 6 x + 1 y = - 2 x - 14$
135957	Find the Points of Intersection	y=x^2-2x-5y=x^3-2x^2-5x-9	$y = x^{2} - 2 x - 5 y = x^{3} - 2 x^{2} - 5 x - 9$
135958	Round to the Nearest Thousandth	0.1188	$0.1188$
135959	Round to the Nearest Thousandth	0.731	$0.731$
135960	Round to the Nearest Thousandth	3.0765	$3.0765$
135961	Round to the Nearest Thousandth	2.32192809	$2.32192809$
135962	Round to the Nearest Thousandth	0.1164	$0.1164$
135963	Find the Range	24 , 35 , 18 , 20 , 17 , 30	$24$ , $35$ , $18$ , $20$ , $17$ , $30$
135964	Find the Range	234 , 97 , 85 , 143 , 58	$234$ , $97$ , $85$ , $143$ , $58$
135965	Find the Range	15 , 13 , 9 , 9 , 7 , 1 , 11 , 10 , 13 , 1 , 13	$15$ , $13$ , $9$ , $9$ , $7$ , $1$ , $11$ , $10$ , $13$ , $1$ , $13$
135966	Find the Range	16 , 26 , 12 , 9 , 17 , 26 , 11 , 14	$16$ , $26$ , $12$ , $9$ , $17$ , $26$ , $11$ , $14$
135967	Find the Range	40 , 35 , 45 , 55 , 60	$40$ , $35$ , $45$ , $55$ , $60$
135968	Find the Range	44 , 56 , 39 , 43 , 55 , 39 , 40 , 42	$44$ , $56$ , $39$ , $43$ , $55$ , $39$ , $40$ , $42$
135969	Find the Range	6 , 8 , 7 , 7 , 10 , 10 , 7 , 5 , 7 , 9 , 7 , 6 , 10 , 1 , 7	$6$ , $8$ , $7$ , $7$ , $10$ , $10$ , $7$ , $5$ , $7$ , $9$ , $7$ , $6$ , $10$ , $1$ , $7$
135970	Find the Range	32 , 33 , 22 , 85 , 58	$32$ , $33$ , $22$ , $85$ , $58$
135971	Find the Range	39 , 38 , 52 , 43 , 45 , 40 , 37 , 52	$39$ , $38$ , $52$ , $43$ , $45$ , $40$ , $37$ , $52$
135972	Find the Range	4 , 2 , 11 , 7 , 5 , 3 , 14 , 3 , 8	$4$ , $2$ , $11$ , $7$ , $5$ , $3$ , $14$ , $3$ , $8$
135973	Find the Five Number Summary	84 , 89 , 93 , 97 , 91 , 62 , 58 , 104 , 91 , 73 , 101 , 71 , 98	$84$ , $89$ , $93$ , $97$ , $91$ , $62$ , $58$ , $104$ , $91$ , $73$ , $101$ , $71$ , $98$
135974	Simplify	(negative infinity,8] intersect [8,17)	$(- \infty, 8] \cap [8, 17)$
135975	Find the Range	83 , 77 , 88 , 93 , 97 , 79 , 94 , 80 , 97 , 81	$83$ , $77$ , $88$ , $93$ , $97$ , $79$ , $94$ , $80$ , $97$ , $81$
135976	Find the Range	84 , 83 , 80 , 95 , 99 , 95 , 83 , 83 , 92 , 84	$84$ , $83$ , $80$ , $95$ , $99$ , $95$ , $83$ , $83$ , $92$ , $84$
135977	Find the Range	7 , 16 , 8 , 16 , 14 , 10 , 9 , 8 , 11 , 12 , 13 , 18	$7$ , $16$ , $8$ , $16$ , $14$ , $10$ , $9$ , $8$ , $11$ , $12$ , $13$ , $18$
135978	Find the Range	116 , 130 , 120 , 125 , 140 , 125	$116$ , $130$ , $120$ , $125$ , $140$ , $125$
135979	Find the Range	14 , 7 , 34 , 29 , 14 , 6	$14$ , $7$ , $34$ , $29$ , $14$ , $6$
135980	Find the Range	11 , 12 , 13 , 14 , 15	$11$ , $12$ , $13$ , $14$ , $15$
135981	Find the Center and Radius	x^2+4y^2=16	$x^{2} + 4 y^{2} = 16$
135982	Find the Local Maxima and Minima	4x square root of 1-x^2	$4 x \sqrt{1 - x^{2}}$
135983	Find the Local Maxima and Minima	x^3+2x^2-5x	$x^{3} + 2 x^{2} - 5 x$
135984	Find the Range	7.7 8.4 9 8 6.9	$7.7$ $8.4$ $9$ $8$ $6.9$
135985	Find the Range	8 , 34 , 23 , 50 , 25 , 16 , 48	$8$ , $34$ , $23$ , $50$ , $25$ , $16$ , $48$
135986	Find the Range	8.2 , 10.1 , 2.6 , 4.8 , 2.4 , 5.6 , 7.0 , 3.3	$8.2$ , $10.1$ , $2.6$ , $4.8$ , $2.4$ , $5.6$ , $7$ , $3.3$
135987	Find the Range	803 , 487 , 348 , 3686 , 730 , 31	$803$ , $487$ , $348$ , $3686$ , $730$ , $31$
135988	Find the Range	81 , 78 , 74 , 88 , 73 , 76 , 93 , 98 , 78 , 80	$81$ , $78$ , $74$ , $88$ , $73$ , $76$ , $93$ , $98$ , $78$ , $80$
135989	Simplify	[(negative infinity,7) union (12,infinity)] intersect [10,15)	$[(- \infty, 7) \cup (12, \infty)] \cap [10, 15)$
135990	Find the Range	31 , 34 , 28 , 37 , 35 , 30 , 29	$31$ , $34$ , $28$ , $37$ , $35$ , $30$ , $29$
135991	Find the Range	2 , 6 , 10 , 20 , 24 , 30 , 34 , 40	$2$ , $6$ , $10$ , $20$ , $24$ , $30$ , $34$ , $40$
135992	Find the Range	145 , 84 , 305 , 143 , 58	$145$ , $84$ , $305$ , $143$ , $58$
135993	Find the Range	-3 , -2 , -1 , 0 , 1 , 2 , 3	$- 3$ , $- 2$ , $- 1$ , $0$ , $1$ , $2$ , $3$
135994	Round to the Nearest Thousandth	2.4	$2.4$
135995	Round to the Nearest Thousandth	1.40367746	$1.40367746$
135996	Round to the Nearest Thousandth	1.5437	$1.5437$
135997	Round to the Nearest Thousandth	3.87298334	$3.87298334$
135998	Round to the Nearest Thousandth	2.64575131	$2.64575131$
135999	Round to the Nearest Thousandth	2.8151	$2.8151$
136000	Round to the Nearest Thousandth	2.8284	$2.8284$