Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
46901	Solve by Factoring	6/(x+5)=8/x	$\frac{6}{x + 5} = \frac{8}{x}$
46902	Find the Behavior (Leading Coefficient Test)	f(x)=5x^8-8x^7-9x-25	$f (x) = 5 x^{8} - 8 x^{7} - 9 x - 25$
46903	Solve by Factoring	6/(x+5)=1-1/(x-5)	$\frac{6}{x + 5} = 1 - \frac{1}{x - 5}$
46904	Solve by Factoring	square root of 2x+19=x+8	$\sqrt{2 x + 19} = x + 8$
46905	Find the Behavior (Leading Coefficient Test)	f(x)=x^2(x-9)	$f (x) = x^{2} (x - 9)$
46906	Solve by Factoring	square root of x^2+5=3-x	$\sqrt{x^{2} + 5} = 3 - x$
46907	Find the Behavior (Leading Coefficient Test)	f(x)=x^4(2-x^3)+1	$f (x) = x^{4} (2 - x^{3}) + 1$
46908	Solve by Factoring	t/(t-8)=(t+8)/-12	$\frac{t}{t - 8} = \frac{t + 8}{- 12}$
46909	Solve by Factoring	(8x)/(x+1)=4-8/(x+1)	$\frac{8 x}{x + 1} = 4 - \frac{8}{x + 1}$
46910	Find the LCD	x/(3x-6)2/(7x-14)	$\frac{x}{3 x - 6} \frac{2}{7 x - 14}$
46911	Solve by Factoring	9/x+1/(x-1)=9	$\frac{9}{x} + \frac{1}{x - 1} = 9$
46912	Find the LCD	(s^5)/(s^2+2s+1)1/(s^2+8s+7)	$\frac{s^{5}}{s^{2} + 2 s + 1} \frac{1}{s^{2} + 8 s + 7}$
46913	Solve by Factoring	(n-5)/(n+8)=2/7	$\frac{n - 5}{n + 8} = \frac{2}{7}$
46914	Solve by Factoring	m/(m-8)-9=8/(m-8)	$\frac{m}{m - 8} - 9 = \frac{8}{m - 8}$
46915	Solve by Factoring	1/12+1/y=2/(y+2)	$\frac{1}{12} + \frac{1}{y} = \frac{2}{y + 2}$
46916	Find the LCD	x/18+x/14	$\frac{x}{18} + \frac{x}{14}$
46917	Solve by Factoring	1/6+1/9=1/x	$\frac{1}{6} + \frac{1}{9} = \frac{1}{x}$
46918	Solve by Factoring	1/(x-5)-5/(x^2-5x)=3	$\frac{1}{x - 5} - \frac{5}{x^{2} - 5 x} = 3$
46919	Solve by Factoring	1/x+1/(x+3)=1/4	$\frac{1}{x} + \frac{1}{x + 3} = \frac{1}{4}$
46920	Find the LCD	y/(20x^4)	$\frac{y}{20 x^{4}}$
46921	Solve by Factoring	1/x=5/(x-4)	$\frac{1}{x} = \frac{5}{x - 4}$
46922	Solve by Factoring	18/(x-2)=1+20/(x+2)	$\frac{18}{x - 2} = 1 + \frac{20}{x + 2}$
46923	Find the LCD	(x+7)/(8x^2+10x-25)-x/(2x^2+15x+25)+(3x-8)/(4x^2+15x-25)	$\frac{x + 7}{8 x^{2} + 10 x - 25} - \frac{x}{2 x^{2} + 15 x + 25} + \frac{3 x - 8}{4 x^{2} + 15 x - 25}$
46924	Solve by Factoring	16/(x^2-4)+1=(2x)/(x-2)	$\frac{16}{x^{2} - 4} + 1 = \frac{2 x}{x - 2}$
46925	Solve by Factoring	11/(3x)-1/3=-4/(x^2)	$\frac{11}{3 x} - \frac{1}{3} = \frac{- 4}{x^{2}}$
46926	Find the LCD	y/(y^2-6y+9)7/(y^2+1y-12)	$\frac{y}{y^{2} - 6 y + 9} \frac{7}{y^{2} + 1 y - 12}$
46927	Solve by Factoring	12/(y-6)-2/y=(16y+6)/(y^2-36)	$\frac{12}{y - 6} - \frac{2}{y} = \frac{16 y + 6}{y^{2} - 36}$
46928	Solve by Factoring	2/(x+7)=4/x	$\frac{2}{x + 7} = \frac{4}{x}$
46929	Find the LCD	8/y-1/(5y^2)	$\frac{8}{y} \frac{- 1}{5 y^{2}}$
46930	Find the LCD	7/(b^2)-9/b	$\frac{7}{b^{2}} \frac{- 9}{b}$
46931	Solve by Factoring	(-2x)/(x+2)+x/3=4/(x+2)	$\frac{- 2 x}{x + 2} + \frac{x}{3} = \frac{4}{x + 2}$
46932	Find the LCD	(5x)/(3x-12)7/(2x-8)	$\frac{5 x}{3 x - 12} \frac{7}{2 x - 8}$
46933	Solve by Factoring	(2x)/(x-2)=5+(13x^2)/(x-2)	$\frac{2 x}{x - 2} = 5 + \frac{13 x^{2}}{x - 2}$
46934	Find the LCD	(n^3)/(n^2-6n+9)-3/(n^2-5n+6)	$\frac{n^{3}}{n^{2} - 6 n + 9} \frac{- 3}{n^{2} - 5 n + 6}$
46935	Solve by Factoring	3/(x^2)-50/x=17	$\frac{3}{x^{2}} - \frac{50}{x} = 17$
46936	Solve by Factoring	3/2y-y=4+1/2y	$\frac{3}{2} y - y = 4 + \frac{1}{2} y$
46937	Find the LCD	(a+2)/(6b)+(7b)/(3a+6)	$\frac{a + 2}{6 b} + \frac{7 b}{3 a + 6}$
46938	Solve by Factoring	x^5-2x^4-24x^3=0	$x^{5} - 2 x^{4} - 24 x^{3} = 0$
46939	Solve by Factoring	x^4+64x=0	$x^{4} + 64 x = 0$
46940	Solve by Factoring	x^4-15x^2-16=0	$x^{4} - 15 x^{2} - 16 = 0$
46941	Solve by Factoring	(x-1)/(x-5)=4/(x-5)	$\frac{x - 1}{x - 5} = \frac{4}{x - 5}$
46942	Find the LCD	(3x)/(2x-10)7/(3x-15)	$\frac{3 x}{2 x - 10} \frac{7}{3 x - 15}$
46943	Solve by Factoring	y^3=4y	$y^{3} = 4 y$
46944	Solve by Factoring	z^4-20z^2+64=0	$z^{4} - 20 z^{2} + 64 = 0$
46945	Solve by Factoring	z^4-37z^2+36=0	$z^{4} - 37 z^{2} + 36 = 0$
46946	Solve by Factoring	z^4-5z^2+4=0	$z^{4} - 5 z^{2} + 4 = 0$
46947	Find the LCD	1/(x-a)-1/a	$\frac{1}{x - a} - \frac{1}{a}$
46948	Solve by Factoring	z^2+6z=-5	$z^{2} + 6 z = - 5$
46949	Solve by Factoring	15=8x^2-14x	$15 = 8 x^{2} - 14 x$
46950	Solve by Factoring	12(2k+11)=12(2k+12)	$12 (2 k + 11) = 12 (2 k + 12)$
46951	Solve by Factoring	16x^2=9	$16 x^{2} = 9$
46952	Solve by Factoring	16x^2-1=0	$16 x^{2} - 1 = 0$
46953	Solve by Factoring	2(a-8)+7=5(a+2)-3a-19	$2 (a - 8) + 7 = 5 (a + 2) - 3 a - 19$
46954	Find the Difference of the Two Functions	f(x)=9x-7 , g(x)=7x-6	$f (x) = 9 x - 7$ , $g (x) = 7 x - 6$
46955	Find the Difference of the Two Functions	f(x)=x^(1/2)-x g(x)=2x^3-x^(1/2)-x	$f (x) = x^{\frac{1}{2}} - x$ $g (x) = 2 x^{3} - x^{\frac{1}{2}} - x$
46956	Solve by Factoring	2x^4-18x^2=0	$2 x^{4} - 18 x^{2} = 0$
46957	Solve by Factoring	2x^2-9x+9=0	$2 x^{2} - 9 x + 9 = 0$
46958	Solve by Factoring	2x^2-x-15=0	$2 x^{2} - x - 15 = 0$
46959	Solve by Factoring	2x^3+2=0	$2 x^{3} + 2 = 0$
46960	Find the Slope and y-intercept	(0,2) , (5,4)	$(0, 2) (5, 4)$
46961	Solve by Factoring	x^3+2x^2-35x=0	$x^{3} + 2 x^{2} - 35 x = 0$
46962	Find the Slope and y-intercept	(0,4) , (2,0)	$(0, 4) (2, 0)$
46963	Solve by Factoring	x^3+4x^2-25x-100=0	$x^{3} + 4 x^{2} - 25 x - 100 = 0$
46964	Solve by Factoring	x^2-2x-4=0	$x^{2} - 2 x - 4 = 0$
46965	Solve by Factoring	x^2-5=0	$x^{2} - 5 = 0$
46966	Solve by Factoring	x^2-9x+8=0	$x^{2} - 9 x + 8 = 0$
46967	Find the Slope and y-intercept	(8,0) , (0,2)	$(8, 0) (0, 2)$
46968	Solve by Factoring	x^2+12x+27=0	$x^{2} + 12 x + 27 = 0$
46969	Find the Slope and y-intercept	(8,1) , (1,8)	$(8, 1) (1, 8)$
46970	Solve by Factoring	x^2+18x+81=0	$x^{2} + 18 x + 81 = 0$
46971	Find the Slope and y-intercept	(8,16) , (9,18)	$(8, 16) (9, 18)$
46972	Solve by Factoring	x^2+2x=0	$x^{2} + 2 x = 0$
46973	Find the Slope and y-intercept	(6,-5) , (6,-7)	$(6, - 5) (6, - 7)$
46974	Solve by Factoring	x^2+5x-36=0	$x^{2} + 5 x - 36 = 0$
46975	Find the Slope and y-intercept	(4,3) , (7,12)	$(4, 3) (7, 12)$
46976	Find the Slope and y-intercept	(3,-9) , (-1,3)	$(3, - 9) (- 1, 3)$
46977	Solve by Factoring	x^2-12x+35=0	$x^{2} - 12 x + 35 = 0$
46978	Find the Slope and y-intercept	(-4,0) , (0,1)	$(- 4, 0) (0, 1)$
46979	Solve by Factoring	x^2-13x+40=0	$x^{2} - 13 x + 40 = 0$
46980	Find the Slope and y-intercept	(-5,0) , (0,-1)	$(- 5, 0)$ , $(0, - 1)$
46981	Solve by Factoring	x^2-11x+18=0	$x^{2} - 11 x + 18 = 0$
46982	Solve by Factoring	x/30-1/(5x)=1/6	$\frac{x}{30} - \frac{1}{5 x} = \frac{1}{6}$
46983	Find the Slope and y-intercept	(3,4) , (5,16)	$(3, 4) (5, 16)$
46984	Solve by Factoring	cube root of 6x-9-3=0	$\sqrt[3]{6 x - 9} - 3 = 0$
46985	Solve by Factoring	cube root of 8x-5-3=0	$\sqrt[3]{8 x - 5} - 3 = 0$
46986	Find the Slope and y-intercept	(-2,2) , (-1,0)	$(- 2, 2) (- 1, 0)$
46987	Solve by Factoring	cube root of x=-5	$\sqrt[3]{x} = - 5$
46988	Find the Slope and y-intercept	(-2,-3) , (4,-5)	$(- 2, - 3) (4, - 5)$
46989	Solve by Factoring	x^(-2/3)+x^(-1/3)-42=0	$x^{- \frac{2}{3}} + x^{- \frac{1}{3}} - 42 = 0$
46990	Find the Slope and y-intercept	(2,4) , (-3,7)	$(2, 4) (- 3, 7)$
46991	Solve by Factoring	x^(2/3)-x^(1/3)-12=0	$x^{\frac{2}{3}} - x^{\frac{1}{3}} - 12 = 0$
46992	Find the Slope and y-intercept	(-2,6) , (2,14)	$(- 2, 6) (2, 14)$
46993	Solve by Factoring	x^(1/3)=4	$x^{\frac{1}{3}} = 4$
46994	Solve by Factoring	x^(1/3)=2	$x^{\frac{1}{3}} = 2$
46995	Find the Slope and y-intercept	(2,5) , (6,7)	$(2, 5) (6, 7)$
46996	Solve by Factoring	x/5-5/x=0	$\frac{x}{5} - \frac{5}{x} = 0$
46997	Solve by Factoring	square root of 5x=15	$\sqrt{5 x} = 15$
46998	Solve by Factoring	square root of 7+6x+ square root of 4x+5=2	$\sqrt{7 + 6 x} + \sqrt{4 x + 5} = 2$
46999	Solve by Addition/Elimination	2/3x+3/5y=12 , 5/2y-3x=6	$\frac{2}{3} x + \frac{3}{5} y = 12$ , $\frac{5}{2} y - 3 x = 6$
47000	Solve by Factoring	square root of 4x-13-1=0	$\sqrt{4 x - 13} - 1 = 0$