Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
46901	Split Using Partial Fraction Decomposition	x/((x+2)(x-4))	$\frac{x}{(x + 2) (x - 4)}$
46902	Split Using Partial Fraction Decomposition	(4x+3)/((x+3)(3x-1))	$\frac{4 x + 3}{(x + 3) (3 x - 1)}$
46903	Split Using Partial Fraction Decomposition	(4x+3)/(x^2-9x+20)	$\frac{4 x + 3}{x^{2} - 9 x + 20}$
46904	Split Using Partial Fraction Decomposition	(5x^2+10x+13)/((x+2)(x+6)^2)	$\frac{5 x^{2} + 10 x + 13}{(x + 2) {(x + 6)}^{2}}$
46905	Split Using Partial Fraction Decomposition	(5x^2+x+2)/(x^2-4)	$\frac{5 x^{2} + x + 2}{x^{2} - 4}$
46906	Split Using Partial Fraction Decomposition	(5x^2-x+1)/((x+1)(x^2+6))	$\frac{5 x^{2} - x + 1}{(x + 1) (x^{2} + 6)}$
46907	Split Using Partial Fraction Decomposition	(-5x+4)/(x^2-x)	$\frac{- 5 x + 4}{x^{2} - x}$
46908	Split Using Partial Fraction Decomposition	(5x-10)/((x-4)(x+1))	$\frac{5 x - 10}{(x - 4) (x + 1)}$
46909	Split Using Partial Fraction Decomposition	(6x^2+19x)/((x+4)(x^2+4))	$\frac{6 x^{2} + 19 x}{(x + 4) (x^{2} + 4)}$
46910	Split Using Partial Fraction Decomposition	(5x-5)/((x+5)(x+3)^2)	$\frac{5 x - 5}{(x + 5) {(x + 3)}^{2}}$
46911	Split Using Partial Fraction Decomposition	(6x+1)/(x^2-5x+6)	$\frac{6 x + 1}{x^{2} - 5 x + 6}$
46912	Split Using Partial Fraction Decomposition	(-6x^2-11x-2)/((x+2)(x+1)^2)	$\frac{- 6 x^{2} - 11 x - 2}{(x + 2) {(x + 1)}^{2}}$
46913	Solve the Triangle	tri()()(8)(120 degrees )()(45 degrees )	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 8 \\ a = \end{matrix} & \begin{matrix} A = \\ B = & 120 \\ C = & 45 \end{matrix} \end{matrix}$
46914	Solve the Triangle	tri()(102 degrees )()()(12)(40 degrees )	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = & 12 \end{matrix} & \begin{matrix} A = & 102 \\ B = \\ C = & 40 \end{matrix} \end{matrix}$
46915	Solve the Triangle	tri()()(10)(65 degrees )()(45 degrees )	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 10 \\ a = \end{matrix} & \begin{matrix} A = \\ B = & 65 \\ C = & 45 \end{matrix} \end{matrix}$
46916	Solve the Triangle	tri()()(15)(65 degrees )()(45 degrees )	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 15 \\ a = \end{matrix} & \begin{matrix} A = \\ B = & 65 \\ C = & 45 \end{matrix} \end{matrix}$
46917	Solve by Substitution	xy=99x^2+y^2=90	$x y = 99 x^{2} + y^{2} = 90$
46918	Solve by Substitution	y=2x+7y=25-x	$y = 2 x + 7 y = 25 - x$
46919	Solve by Substitution	y=x^2 , y-9=0	$y = x^{2}$ , $y - 9 = 0$
46920	Solve by Substitution	y=-x^2+242x+y=0	$y = - x^{2} + 242 x + y = 0$
46921	Solve by Substitution	y=-x^2+352x+y=0	$y = - x^{2} + 352 x + y = 0$
46922	Solve by Substitution	y=x^2+8x+5y=x^2-2x+25	$y = x^{2} + 8 x + 5 y = x^{2} - 2 x + 25$
46923	Solve the Triangle	tri{17}{}{19}{}{15}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 17 \\ c = & 19 \\ a = & 15 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
46924	Solve the Triangle	tri{11}{}{15}{}{13}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 11 \\ c = & 15 \\ a = & 13 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
46925	Solve the Triangle	tri()(85 degrees )()()(7)(52 degrees )	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = & 7 \end{matrix} & \begin{matrix} A = & 85 \\ B = \\ C = & 52 \end{matrix} \end{matrix}$
46926	Solve the Triangle	tri()(95 degrees )()()()(21 degrees )	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = \end{matrix} & \begin{matrix} A = & 95 \\ B = \\ C = & 21 \end{matrix} \end{matrix}$
46927	Solve the Triangle	tri{12}{}{6}{}{13}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 12 \\ c = & 6 \\ a = & 13 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
46928	Solve by Substitution	x^2+y^2=49 , y=x-3	$x^{2} + y^{2} = 49$ , $y = x - 3$
46929	Solve by Substitution	x^2+y^2=61xy=30	$x^{2} + y^{2} = 61 x y = 30$
46930	Solve by Substitution	x^2+y^2=8xy=4	$x^{2} + y^{2} = 8 x y = 4$
46931	Solve by Substitution	x^2+y^2=10y=x+2	$x^{2} + y^{2} = 10 y = x + 2$
46932	Solve by Substitution	x^2+y^2=116 , x-y=-6	$x^{2} + y^{2} = 116$ , $x - y = - 6$
46933	Solve by Substitution	x^2+y^2=145x-y=1	$x^{2} + y^{2} = 145 x - y = 1$
46934	Solve by Substitution	x^2+y^2=162xy=81	$x^{2} + y^{2} = 162 x y = 81$
46935	Solve by Substitution	x^2+y^2=16y=x-2	$x^{2} + y^{2} = 16 y = x - 2$
46936	Solve by Substitution	x^2+y^2=9y^2-x=9	$x^{2} + y^{2} = 9 y^{2} - x = 9$
46937	Solve by Substitution	x^2+y^2-7x+16y+34=0x^2+y^2+8x+16y-116=0	$x^{2} + y^{2} - 7 x + 16 y + 34 = 0 x^{2} + y^{2} + 8 x + 16 y - 116 = 0$
46938	Solve by Substitution	x+y=3y=x^2-18x+15	$x + y = 3 y = x^{2} - 18 x + 15$
46939	Solve by Substitution	x+y=3 y=x^2-4x+5	$x + y = 3$ $y = x^{2} - 4 x + 5$
46940	Solve by Substitution	x=4yx=y^2+2y	$x = 4 y x = y^{2} + 2 y$
46941	Solve by Substitution	x-6y=-2-4x+24y=8	$x - 6 y = - 2 - 4 x + 24 y = 8$
46942	Split Using Partial Fraction Decomposition	x/(x^2+13x+36)	$\frac{x}{x^{2} + 13 x + 36}$
46943	Split Using Partial Fraction Decomposition	x/(x^2-16x+63)	$\frac{x}{x^{2} - 16 x + 63}$
46944	Split Using Partial Fraction Decomposition	x/(x^2-9x+14)	$\frac{x}{x^{2} - 9 x + 14}$
46945	Split Using Partial Fraction Decomposition	(x^2+4x+2)/((x+2)(x^2+22x+6))	$\frac{x^{2} + 4 x + 2}{(x + 2) (x^{2} + 22 x + 6)}$
46946	Split Using Partial Fraction Decomposition	(x^2+6x+1)/((x^2+4)^2)	$\frac{x^{2} + 6 x + 1}{{(x^{2} + 4)}^{2}}$
46947	Split Using Partial Fraction Decomposition	(x^2+x+4)/((x+2)(x^2-9x+2))	$\frac{x^{2} + x + 4}{(x + 2) (x^{2} - 9 x + 2)}$
46948	Split Using Partial Fraction Decomposition	(x^2+5x+3)/((x+1)(x^2+13x+1))	$\frac{x^{2} + 5 x + 3}{(x + 1) (x^{2} + 13 x + 1)}$
46949	Split Using Partial Fraction Decomposition	(x^3-4x^2+9x-5)/((x^2-2x+3)^2)	$\frac{x^{3} - 4 x^{2} + 9 x - 5}{{(x^{2} - 2 x + 3)}^{2}}$
46950	Split Using Partial Fraction Decomposition	(x^4+3x^2+1)/(x(x^2+1))	$\frac{x^{4} + 3 x^{2} + 1}{x (x^{2} + 1)}$
46951	Split Using Partial Fraction Decomposition	(x^4+x^2-9x-12)/(x^4+3x^2)	$\frac{x^{4} + x^{2} - 9 x - 12}{x^{4} + 3 x^{2}}$
46952	Split Using Partial Fraction Decomposition	(x^4-x^2+4)/(x^3-x^2)	$\frac{x^{4} - x^{2} + 4}{x^{3} - x^{2}}$
46953	Solve by Substitution	x^2+y^2+35x-3y+196=0x-y+4=0	$x^{2} + y^{2} + 35 x - 3 y + 196 = 0 x - y + 4 = 0$
46954	Solve by Substitution	4x-y=-23y=x^2+2	$4 x - y = - 23 y = x^{2} + 2$
46955	Solve by Substitution	4x^2+y=3-x-y=11	$4 x^{2} + y = 3 - x - y = 11$
46956	Solve by Substitution	-4x+2y-z=-9x-3y+4z=11-5x+y+z=-6	$- 4 x + 2 y - z = - 9 x - 3 y + 4 z = 11 - 5 x + y + z = - 6$
46957	Solve by Substitution	25x^2+y^2=255x-y=5	$25 x^{2} + y^{2} = 255 x - y = 5$
46958	Solve by Substitution	2x+y+2z=1-4x-y-z=32x+2y+5z=6	$2 x + y + 2 z = 1 - 4 x - y - z = 32 x + 2 y + 5 z = 6$
46959	Split Using Partial Fraction Decomposition	(x^3)/((x^2+11)^3)	$\frac{x^{3}}{{(x^{2} + 11)}^{3}}$
46960	Solve by Substitution	1/2x+1/3y=16 , 1/6x+1/4y=9	$\frac{1}{2} x + \frac{1}{3} y = 16$ , $\frac{1}{6} x + \frac{1}{4} y = 9$
46961	Solve by Substitution	-1/2x-4y=42x+16y=2	$- \frac{1}{2} x - 4 y = 42 x + 16 y = 2$
46962	Solve by Substitution	-1/3x+y=-5/3x^2+y^2=25	$- \frac{1}{3} x + y = - \frac{5}{3} x^{2} + y^{2} = 25$
46963	Solve the Triangle	tri{4}{}{}{41}{25}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 4 \\ c = \\ a = & 25 \end{matrix} & \begin{matrix} A = \\ B = & 41 \\ C = \end{matrix} \end{matrix}$
46964	Solve the Triangle	tri{14}{}{17}{}{11}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 14 \\ c = & 17 \\ a = & 11 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
46965	Solve the Triangle	tri{14}{55}{}{}{12}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 14 \\ c = \\ a = & 12 \end{matrix} & \begin{matrix} A = & 55 \\ B = \\ C = \end{matrix} \end{matrix}$
46966	Solve the Triangle	tri(50)(80 degrees )()()(24)()	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 50 \\ c = \\ a = & 24 \end{matrix} & \begin{matrix} A = & 80 \\ B = \\ C = \end{matrix} \end{matrix}$
46967	Find the Roots/Zeros Using the Rational Roots Test	f(x)=2x^3-4x^2-14x+28	$f (x) = 2 x^{3} - 4 x^{2} - 14 x + 28$
46968	Find the Roots/Zeros Using the Rational Roots Test	f(x)=9x^3-21x^2+4x+4	$f (x) = 9 x^{3} - 21 x^{2} + 4 x + 4$
46969	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^3-x^2+4x-4	$f (x) = x^{3} - x^{2} + 4 x - 4$
46970	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^4-3x^3-6x^2+6x+8	$f (x) = x^{4} - 3 x^{3} - 6 x^{2} + 6 x + 8$
46971	Find the Roots/Zeros Using the Rational Roots Test	g(x)=2e^x+6e^(-x)-7	$g (x) = 2 e^{x} + 6 e^{- x} - 7$
46972	Find the Roots/Zeros Using the Rational Roots Test	p(x)=4x^4+8x^3-7x^2-21x-9	$p (x) = 4 x^{4} + 8 x^{3} - 7 x^{2} - 21 x - 9$
46973	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^3-4x^2+2x+4	$f (x) = x^{3} - 4 x^{2} + 2 x + 4$
46974	Solve Using the Quadratic Formula	36x^2-48x+14=0	$36 x^{2} - 48 x + 14 = 0$
46975	Solve Using the Quadratic Formula	-3x^2-6x+1=0	$- 3 x^{2} - 6 x + 1 = 0$
46976	Find the Cofactor Matrix	[[-2,5],[7,6]]	$[\begin{array}{c} - 2 & 5 \\ 7 & 6 \end{array}]$
46977	Solve Using the Quadratic Formula	x^6-2x^3-3=0	$x^{6} - 2 x^{3} - 3 = 0$
46978	Solve Using the Quadratic Formula	-x^2+7x+5=0	$- x^{2} + 7 x + 5 = 0$
46979	Determine if Odd, Even, or Neither	f(x)=4	$f (x) = 4$
46980	Determine if Odd, Even, or Neither	f(x)=-5x^3-4	$f (x) = - 5 x^{3} - 4$
46981	Determine if Odd, Even, or Neither	f(x)=x^3+4x	$f (x) = x^{3} + 4 x$
46982	Determine if Odd, Even, or Neither	f(x)=x square root of 8-x^2	$f (x) = x \sqrt{8 - x^{2}}$
46983	Determine if Odd, Even, or Neither	f(x)=7x^3-6	$f (x) = 7 x^{3} - 6$
46984	Determine if Odd, Even, or Neither	f(x)=-x	$f (x) = - x$
46985	Determine if Odd, Even, or Neither	f(x)=x/(x^2-5)	$f (x) = \frac{x}{x^{2} - 5}$
46986	Find the Eccentricity	(x^2)/12+(y^2)/13=1	$\frac{x^{2}}{12} + \frac{y^{2}}{13} = 1$
46987	Find the Eccentricity	((x+3)^2)/7+((y-4)^2)/16=1	$\frac{{(x + 3)}^{2}}{7} + \frac{{(y - 4)}^{2}}{16} = 1$
46988	Find the Eccentricity	((x+4)^2)/25+((y-1)^2)/16=1	$\frac{{(x + 4)}^{2}}{25} + \frac{{(y - 1)}^{2}}{16} = 1$
46989	Find the Eccentricity	16x^2+25y^2=1600	$16 x^{2} + 25 y^{2} = 1600$
46990	Determine if Odd, Even, or Neither	h(x)=x\|x+6\|	$h (x) = x \| x + 6 \|$
46991	Determine if Odd, Even, or Neither	g(x)=x^6-4x	$g (x) = x^{6} - 4 x$
46992	Determine if Odd, Even, or Neither	h(x)=x^2-x^8	$h (x) = x^{2} - x^{8}$
46993	Determine if Odd, Even, or Neither	g(x)=x^2\|x\|+4	$g (x) = x^{2} \| x \| + 4$
46994	Determine if Odd, Even, or Neither	g(x)=4x^3-5	$g (x) = 4 x^{3} - 5$
46995	Determine if Odd, Even, or Neither	g(x)=x^4-x	$g (x) = x^{4} - x$
46996	Determine if Odd, Even, or Neither	g(x)=x^4+4x	$g (x) = x^{4} + 4 x$
46997	Determine if Odd, Even, or Neither	f(x)=x^2+x^3	$f (x) = x^{2} + x^{3}$
46998	Determine if Odd, Even, or Neither	f(x)=x^2-5	$f (x) = x^{2} - 5$
46999	Determine if Odd, Even, or Neither	g(x)=1/(x+4)	$g (x) = \frac{1}{x + 4}$
47000	Determine if Odd, Even, or Neither	g(x) = cube root of 9x^2	$g (x) = \sqrt[3]{9 x^{2}}$