Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
49001	Find All Complex Number Solutions	z=-2-i	$z = - 2 - i$
49002	Find All Complex Number Solutions	x^2=-i	$x^{2} = - i$
49003	Find All Complex Number Solutions	z=4 square root of 3-4i	$z = 4 \sqrt{3} - 4 i$
49004	Write in y=mx+b Form	theta=(2pi)/3	$θ = \frac{2 π}{3}$
49005	Solve the Triangle	tri{900}{}{}{}{400}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 900 \\ c = \\ a = & 400 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49006	Solve the Triangle	tri{34.2}{}{}{}{20.5}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 34.2 \\ c = \\ a = & 20.5 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49007	Solve the Triangle	tri(4)()()()(3)(90 degrees )	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 4 \\ c = \\ a = & 3 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49008	Solve the Triangle	tri{3}{}{}{}{2}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 3 \\ c = \\ a = & 2 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49009	Solve the Triangle	tri{21}{}{29}{}{20}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 21 \\ c = & 29 \\ a = & 20 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49010	Solve the Triangle	tri{14}{}{12}{}{3}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 14 \\ c = & 12 \\ a = & 3 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49011	Solve the Triangle	tri{15}{}{}{}{20}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 15 \\ c = \\ a = & 20 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49012	Solve the Triangle	tri{12}{48}{}{}{10}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 12 \\ c = \\ a = & 10 \end{matrix} & \begin{matrix} A = & 48 \\ B = \\ C = \end{matrix} \end{matrix}$
49013	Solve the Triangle	tri{12}{}{16}{}{10}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 12 \\ c = & 16 \\ a = & 10 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49014	Solve the Triangle	tri(16)()()(55 degrees )()()	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 16 \\ c = \\ a = \end{matrix} & \begin{matrix} A = \\ B = & 55 \\ C = \end{matrix} \end{matrix}$
49015	Solve the Triangle	tri{17}{}{11}{}{10}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 17 \\ c = & 11 \\ a = & 10 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49016	Solve the Triangle	tri{20}{}{29}{}{21}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 20 \\ c = & 29 \\ a = & 21 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49017	Solve the Triangle	tri{7}{}{}{}{2}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 7 \\ c = \\ a = & 2 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49018	Solve the Triangle	tri{7}{}{5}{}{3}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 7 \\ c = & 5 \\ a = & 3 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49019	Solve the Triangle	tri(7)()()()(9)(90 degrees )	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 7 \\ c = \\ a = & 9 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49020	Solve the Triangle	tri{7}{15}{}{113}{}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 7 \\ c = \\ a = \end{matrix} & \begin{matrix} A = & 15 \\ B = & 113 \\ C = \end{matrix} \end{matrix}$
49021	Solve the Triangle	tri{7}{28}{}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 7 \\ c = \\ a = \end{matrix} & \begin{matrix} A = & 28 \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49022	Solve the Triangle	tri{8}{}{}{}{4}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 8 \\ c = \\ a = & 4 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49023	Solve the Triangle	tri{8}{}{}{}{2}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 8 \\ c = \\ a = & 2 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49024	Solve the Triangle	tri{45}{}{53}{}{28}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 45 \\ c = & 53 \\ a = & 28 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49025	Solve the Triangle	tri{4}{}{5}{}{6}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 4 \\ c = & 5 \\ a = & 6 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49026	Solve the Triangle	tri(5)()(13)()(12)(90 degrees )	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 5 \\ c = & 13 \\ a = & 12 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49027	Solve the Triangle	tri{5}{}{6}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 5 \\ c = & 6 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49028	Solve the Triangle	tri(5)(30 degrees )()()(10)()	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 5 \\ c = \\ a = & 10 \end{matrix} & \begin{matrix} A = & 30 \\ B = \\ C = \end{matrix} \end{matrix}$
49029	Solve the Triangle	tri{5}{}{}{}{8}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 5 \\ c = \\ a = & 8 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49030	Solve the Triangle	tri{50}{}{}{}{30}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 50 \\ c = \\ a = & 30 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49031	Solve the Triangle	tri{54}{}{42}{}{}{52.1}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 54 \\ c = & 42 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 52.1 \end{matrix} \end{matrix}$
49032	Solve the Triangle	tri{5}{40}{}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 5 \\ c = \\ a = \end{matrix} & \begin{matrix} A = & 40 \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49033	Solve the Triangle	tri{}{}{}{50}{2}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = & 2 \end{matrix} & \begin{matrix} A = \\ B = & 50 \\ C = & 90 \end{matrix} \end{matrix}$
49034	Solve the Triangle	tri{}{}{10}{}{6}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 10 \\ a = & 6 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49035	Solve the Triangle	tri{}{}{16}{67}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 16 \\ a = \end{matrix} & \begin{matrix} A = \\ B = & 67 \\ C = & 90 \end{matrix} \end{matrix}$
49036	Solve by Substitution	x+y=0x^3-5x-y=0	$x + y = 0 x^{3} - 5 x - y = 0$
49037	Split Using Partial Fraction Decomposition	(6x-17)/((x+3)(x-2))	$\frac{6 x - 17}{(x + 3) (x - 2)}$
49038	Solve the Triangle	tri{}{}{8}{60}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 8 \\ a = \end{matrix} & \begin{matrix} A = \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
49039	Solve the Triangle	tri()(30)(10 square root of 3)(60)()(90)	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 10 \sqrt{3} \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
49040	Solve the Triangle	tri{}{20}{10}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 10 \\ a = \end{matrix} & \begin{matrix} A = & 20 \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49041	Solve the Triangle	tri()(30 degrees )()(60 degrees )()(90 degrees )	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
49042	Solve the Triangle	tri()(45)(10 square root of 2)(45)()(90)	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 10 \sqrt{2} \\ a = \end{matrix} & \begin{matrix} A = & 45 \\ B = & 45 \\ C = & 90 \end{matrix} \end{matrix}$
49043	Solve the Triangle	tri()(45)(5 square root of 2)(45)()(90)	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 5 \sqrt{2} \\ a = \end{matrix} & \begin{matrix} A = & 45 \\ B = & 45 \\ C = & 90 \end{matrix} \end{matrix}$
49044	Solve the Triangle	tri{11}{}{17}{}{10}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 11 \\ c = & 17 \\ a = & 10 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49045	Solve the Triangle	tri(10)(140 degrees )()()(3)()	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 10 \\ c = \\ a = & 3 \end{matrix} & \begin{matrix} A = & 140 \\ B = \\ C = \end{matrix} \end{matrix}$
49046	Solve the Triangle	tri{}{60}{}{30}{12}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = & 12 \end{matrix} & \begin{matrix} A = & 60 \\ B = & 30 \\ C = & 90 \end{matrix} \end{matrix}$
49047	Find the x and y Intercepts	g(x)=4sin(4x)-3	$g (x) = 4 \sin (4 x) - 3$
49048	Find the x and y Intercepts	g(x)=5cos(3x)-5	$g (x) = 5 \cos (3 x) - 5$
49049	Identify the Polar Equation	z=6i	$z = 6 i$
49050	Find the Equation Given the Roots	-125i	$- 125 i$
49051	Identify the Polar Equation	z=-3-3i	$z = - 3 - 3 i$
49052	Write as a Single Logarithm	4 log base 3 of x-20 log base 3 of y	$4 \log_{3} (x) - 20 \log_{3} (y)$
49053	Find the Maximum/Minimum Value	y=sin(x) , 0<=x<=2pi	$y = \sin (x)$ , $0 \leq x \leq 2 π$
49054	Find the Sine Given the Point	(15/17,-8/17)	$(\frac{15}{17}, - \frac{8}{17})$
49055	Find the Sine Given the Point	(5/8,( square root of 39)/8)	$(\frac{5}{8}, \frac{\sqrt{39}}{8})$
49056	Find the Sine Given the Point	(-40/41,-9/41)	$(- \frac{40}{41}, - \frac{9}{41})$
49057	Find the Maximum/Minimum Value	y=3sin(2x)	$y = 3 \sin (2 x)$
49058	Find the Sine Given the Point	P=(1/2,-( square root of 3)/2)	$P = (\frac{1}{2}, - \frac{\sqrt{3}}{2})$
49059	Find the Sine Given the Point	(2, square root of 5)	$(2, \sqrt{5})$
49060	Find the Sine Given the Point	( square root of 7,-3)	$(\sqrt{7}, - 3)$
49061	Find the Sine Given the Point	(12,35)	$(12, 35)$
49062	Find the Sine Given the Point	(-5,- square root of 11)	$(- 5, - \sqrt{11})$
49063	Expand Using De Moivre's Theorem	4 square root of 3-4i	$4 \sqrt{3} - 4 i$
49064	Find the Inverse	cos(2x)	$\cos (2 x)$
49065	Find the Inverse	arccos(( square root of 3)/2)	$\arccos (\frac{\sqrt{3}}{2})$
49066	Find the Supplement	pi/18	$\frac{π}{18}$
49067	Find the Supplement	54 degrees	$54 °$
49068	Find the Supplement	58 degrees	$58 °$
49069	Find the Supplement	64 degrees	$64 °$
49070	Find the Supplement	80 degrees	$80 °$
49071	Find the Supplement	18 degrees	$18 °$
49072	Find the Supplement	180 degrees	$180 °$
49073	Find the Interquartile Range (H-Spread)	28.2 , 29.3 , 29.7 , 31.6 , 31.7 , 32.7 , 32.8 , 33.5 , 33.5 , 33.5 , 33.8 , 34.2 , 34.8 , 34.8 , 35.4 , 36.7 , 37.3 , 38.5	$28.2$ , $29.3$ , $29.7$ , $31.6$ , $31.7$ , $32.7$ , $32.8$ , $33.5$ , $33.5$ , $33.5$ , $33.8$ , $34.2$ , $34.8$ , $34.8$ , $35.4$ , $36.7$ , $37.3$ , $38.5$
49074	Find the Roots (Zeros)	x^4+81=0	$x^{4} + 81 = 0$
49075	Find the Roots (Zeros)	y=sin(x)	$y = \sin (x)$
49076	Find the Roots (Zeros)	x^3-2x^2-5x=0	$x^{3} - 2 x^{2} - 5 x = 0$
49077	Find the Roots (Zeros)	9x^2+12x+8=0	$9 x^{2} + 12 x + 8 = 0$
49078	Find the Roots (Zeros)	cos(3theta)=1	$\cos (3 θ) = 1$
49079	Find the Roots (Zeros)	x^2=4i	$x^{2} = 4 i$
49080	Write in Standard Form	-3i	$- 3 i$
49081	Write in Standard Form	- square root of 3-i	$- \sqrt{3} - i$
49082	Write in Standard Form	square root of 7	$\sqrt{7}$
49083	Solve by Factoring	sin(theta)^2+cos(theta)^2=1	$\sin^{2} (θ) + \cos^{2} (θ) = 1$
49084	Find the Complement	180 degrees	$180 °$
49085	Find the Complement	pi/9	$\frac{π}{9}$
49086	Find the Complement	(2pi)/3	$\frac{2 π}{3}$
49087	Write in Standard Form	( square root of 10+i)^4	${(\sqrt{10} + i)}^{4}$
49088	Write in Standard Form	pi/2	$\frac{π}{2}$
49089	Find the Complement	63 degrees	$63 °$
49090	Find the Complement	55 degrees	$55 °$
49091	Find the Complement	44 degrees	$44 °$
49092	Find the Complement	48 degrees	$48 °$
49093	Combine	cot(x)(tan(x)-sec(x))	$\cot (x (\tan (x) - \sec (x)))$
49094	Combine	sec(theta)-cos(theta)	$\sec (θ) - \cos (θ)$
49095	Convert to a Simplified Fraction	square root of 64	$\sqrt{64}$
49096	Convert to a Simplified Fraction	square root of 46	$\sqrt{46}$
49097	Convert to a Simplified Fraction	square root of 161	$\sqrt{161}$
49098	Solve the Function Operation	f(x)=(-6+x)(-6+x)g(x)=-4+9x(f/g)(3)	$f (x) = (- 6 + x) (- 6 + x) g (x) = - 4 + 9 x (\frac{f}{g}) (3)$
49099	Solve the Function Operation	g(x)=x-2f(x)=(x+5)(x-2)(g/f)(3)	$g (x) = x - 2 f (x) = (x + 5) (x - 2) (\frac{g}{f}) (3)$
49100	Find the Center and Radius	x^2+y^2-8x+20y+67=0	$x^{2} + y^{2} - 8 x + 20 y + 67 = 0$