Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
111801	Solve by Factoring	t/(t-1)+1/(t+1)=2/(t^2-1)	$\frac{t}{t - 1} + \frac{1}{t + 1} = \frac{2}{t^{2} - 1}$
111802	Find the x and y Intercepts	f(x)=6x^2+12x-1	$f (x) = 6 x^{2} + 12 x - 1$
111803	Solve by Factoring	8/X=9/(X+3)	$\frac{8}{X} = \frac{9}{X + 3}$
111804	Solve by Factoring	8/(5x)-2/(3x)=4/15	$\frac{8}{5 x} - \frac{2}{3 x} = \frac{4}{15}$
111805	Find the Vertex	f(x)=-5x^2-5x+3	$f (x) = - 5 x^{2} - 5 x + 3$
111806	Solve by Factoring	(a-5)/(a+4)=5/4	$\frac{a - 5}{a + 4} = \frac{5}{4}$
111807	Solve by Factoring	d/3+1/2=1/(3d)	$\frac{d}{3} + \frac{1}{2} = \frac{1}{3 d}$
111808	Solve by Factoring	(k+1)/(2k-1)=4/5	$\frac{k + 1}{2 k - 1} = \frac{4}{5}$
111809	Divide Using Synthetic Division	(x^4-6x^2-27)÷(x+2)	$(x^{4} - 6 x^{2} - 27) \div (x + 2)$
111810	Solve by Factoring	(k+4)/4+(k-1)/4=(k+4)/(4k)	$\frac{k + 4}{4} + \frac{k - 1}{4} = \frac{k + 4}{4 k}$
111811	Solve by Factoring	log base x of 8=3	$\log_{x} (8) = 3$
111812	Solve by Factoring	m/(m-6)-7=6/(m-6)	$\frac{m}{m - 6} - 7 = \frac{6}{m - 6}$
111813	Solve by Factoring	log base 3 of x=4	$\log_{3} (x) = 4$
111814	Solve by Factoring	(n-6)/(n-7)=9/2	$\frac{n - 6}{n - 7} = \frac{9}{2}$
111815	Find the x and y Intercepts	3x-7y=-21	$3 x - 7 y = - 21$
111816	Solve by Factoring	1/(x^2)-4/x+1=0	$\frac{1}{x^{2}} - \frac{4}{x} + 1 = 0$
111817	Solve by Factoring	1/(x^2)+1/x=1/(2x^2)	$\frac{1}{x^{2}} + \frac{1}{x} = \frac{1}{2 x^{2}}$
111818	Solve by Factoring	1/10+1/y=3/(y+5)	$\frac{1}{10} + \frac{1}{y} = \frac{3}{y + 5}$
111819	Solve by Factoring	(z^2)/6-z/2-84=0	$\frac{z^{2}}{6} - \frac{z}{2} - 84 = 0$
111820	Solve by Factoring	( square root of 2x)/( square root of x-2)=2	$\frac{\sqrt{2 x}}{\sqrt{x - 2}} = 2$
111821	Write as a Single Logarithm	log base 4 of x^2-25-4 log base 4 of x+5	$\log_{4} (x^{2} - 25) - 4 \log_{4} (x + 5)$
111822	Solve by Factoring	( square root of 2-3x)/( square root of 4x)=2	$\frac{\sqrt{2 - 3 x}}{\sqrt{4 x}} = 2$
111823	Find the Slope	y=8x-10	$y = 8 x - 10$
111824	Solve by Factoring	1/2+1/4=1/x	$\frac{1}{2} + \frac{1}{4} = \frac{1}{x}$
111825	Find the Slope	5y=7	$5 y = 7$
111826	Solve by Factoring	1/3+1/5=1/x	$\frac{1}{3} + \frac{1}{5} = \frac{1}{x}$
111827	Solve by Factoring	1/(3x-2)+5/x=0	$\frac{1}{3 x - 2} + \frac{5}{x} = 0$
111828	Solve by Factoring	1/8+1/6=1/x	$\frac{1}{8} + \frac{1}{6} = \frac{1}{x}$
111829	Write in Standard Form	-1+8h^2	$- 1 + 8 h^{2}$
111830	Solve by Factoring	1/(x-8)+1/(x+8)=16/(x^2-64)	$\frac{1}{x - 8} + \frac{1}{x + 8} = \frac{16}{x^{2} - 64}$
111831	Solve by Factoring	10/(2y+8)-(7y+8)/(y^2-16)=-8/(2y-8)	$\frac{10}{2 y + 8} - \frac{7 y + 8}{y^{2} - 16} = \frac{- 8}{2 y - 8}$
111832	Convert to a Simplified Fraction	110%	$110 %$
111833	Solve by Factoring	1/(x-2)-2/(x^2-2x)=4	$\frac{1}{x - 2} - \frac{2}{x^{2} - 2 x} = 4$
111834	Convert to a Simplified Fraction	83%	$83 %$
111835	Convert to a Decimal	6 2/3	$6 \frac{2}{3}$
111836	Solve by Factoring	1/(x+4)+x/(x-4)=-8/(x^2-16)	$\frac{1}{x + 4} + \frac{x}{x - 4} = \frac{- 8}{x^{2} - 16}$
111837	Solve by Factoring	1/x+(3x+12)/(x^2-5x)=(7x-56)/(x^2-5x)	$\frac{1}{x} + \frac{3 x + 12}{x^{2} - 5 x} = \frac{7 x - 56}{x^{2} - 5 x}$
111838	Solve by Factoring	1/(x+2)-1/(x-1)=0	$\frac{1}{x + 2} - \frac{1}{x - 1} = 0$
111839	Convert to a Decimal	7.3%	$7.3 %$
111840	Solve by Factoring	1/(b+1)+1/(b-1)=2/(b^2-1)	$\frac{1}{b + 1} + \frac{1}{b - 1} = \frac{2}{b^{2} - 1}$
111841	Solve by Factoring	1/v+(3v+12)/(v^2-5v)=(7v-56)/(v^2-5v)	$\frac{1}{v} + \frac{3 v + 12}{v^{2} - 5 v} = \frac{7 v - 56}{v^{2} - 5 v}$
111842	Solve by Factoring	16/(x^2-16)-2/(x-4)=3/(x+4)	$\frac{16}{x^{2} - 16} - \frac{2}{x - 4} = \frac{3}{x + 4}$
111843	Solve by Factoring	18/(3x-15)+1/(x-5)=7/3	$\frac{18}{3 x - 15} + \frac{1}{x - 5} = \frac{7}{3}$
111844	Solve by Factoring	18/(x-4)=1+20/(x+4)	$\frac{18}{x - 4} = 1 + \frac{20}{x + 4}$
111845	Solve by Factoring	11^(n-8)-5=54	$11^{n - 8} - 5 = 54$
111846	Solve by Factoring	11/(2x)-2/(3x)=1/6	$\frac{11}{2 x} - \frac{2}{3 x} = \frac{1}{6}$
111847	Solve by Factoring	10/(6x+7)=6/(2x+9)	$\frac{10}{6 x + 7} = \frac{6}{2 x + 9}$
111848	Solve by Factoring	2/(x+3)+3/(x+4)=7/(x^2+7x+12)	$\frac{2}{x + 3} + \frac{3}{x + 4} = \frac{7}{x^{2} + 7 x + 12}$
111849	Find Where Undefined/Discontinuous	(187+6z-z^2)/(z^2-21z+68)	$\frac{187 + 6 z - z^{2}}{z^{2} - 21 z + 68}$
111850	Solve by Factoring	2/(x+5)+1/(x-5)=16/(x^2-25)	$\frac{2}{x + 5} + \frac{1}{x - 5} = \frac{16}{x^{2} - 25}$
111851	Solve by Factoring	-2/(x-1)=(x-8)/(x+1)	$\frac{- 2}{x - 1} = \frac{x - 8}{x + 1}$
111852	Find the GCF	15z^5-30z^4+6z^3	$15 z^{5} - 30 z^{4} + 6 z^{3}$
111853	Convert to an Improper Fraction	3 4/7	$3 \frac{4}{7}$
111854	Solve by Factoring	2/x=13/(8x)+3	$\frac{2}{x} = \frac{13}{8 x} + 3$
111855	Solve by Factoring	2/(x+2)-1/x=-4/(x(x+2))	$\frac{2}{x + 2} - \frac{1}{x} = \frac{- 4}{x (x + 2)}$
111856	Solve by Factoring	2/m+3/(m+9)=11/4	$\frac{2}{m} + \frac{3}{m + 9} = \frac{11}{4}$
111857	Solve by Factoring	2/(7x)+2=3/(8x)	$\frac{2}{7 x} + 2 = \frac{3}{8 x}$
111858	Solve by Factoring	2/3=8/x	$\frac{2}{3} = \frac{8}{x}$
111859	Solve by Factoring	2^x*1/32=32	$2^{x} \cdot \frac{1}{32} = 32$
111860	Find the LCM	x^2-x-6 , x^2+6x+8	$x^{2} - x - 6$ , $x^{2} + 6 x + 8$
111861	Solve by Factoring	243^(k+2)*9^(2k-1)=9	$243^{k + 2} \cdot 9^{2 k - 1} = 9$
111862	Solve by Factoring	(2x)/(x+5)-10/(x-5)=(2x^2+50)/(x^2-25)	$\frac{2 x}{x + 5} - \frac{10}{x - 5} = \frac{2 x^{2} + 50}{x^{2} - 25}$
111863	Solve by Factoring	(2x)/(x-3)+1/x=3	$\frac{2 x}{x - 3} + \frac{1}{x} = 3$
111864	Find the Domain	square root of 4-2x	$\sqrt{4 - 2 x}$
111865	Solve by Factoring	(2x+4)/(x-3)=(3x)/(x-3)	$\frac{2 x + 4}{x - 3} = \frac{3 x}{x - 3}$
111866	Solve by Factoring	(2x-3)/(x-4)=2/3	$\frac{2 x - 3}{x - 4} = \frac{2}{3}$
111867	Solve by Factoring	3/(x-2)+7/x=-14/(x^2-2x)	$\frac{3}{x - 2} + \frac{7}{x} = \frac{- 14}{x^{2} - 2 x}$
111868	Solve by Factoring	4/(x^2+x-6)-1/(x^2-4)=2/(x^2+5x+6)	$\frac{4}{x^{2} + x - 6} - \frac{1}{x^{2} - 4} = \frac{2}{x^{2} + 5 x + 6}$
111869	Solve by Factoring	4/(x^2-4)-1/(x+2)=(x-1)/(x-2)	$\frac{4}{x^{2} - 4} - \frac{1}{x + 2} = \frac{x - 1}{x - 2}$
111870	Solve by Factoring	4/(x^2-3x)-1/(x^2-9)=0	$\frac{4}{x^{2} - 3 x} - \frac{1}{x^{2} - 9} = 0$
111871	Find the Perfect Square Trinomial	y^2-18y+	$y^{2} - 18 y +$
111872	Solve by Factoring	(3b-2)/(b+1)=4-(b+2)/(b-1)	$\frac{3 b - 2}{b + 1} = 4 - \frac{b + 2}{b - 1}$
111873	Solve by Factoring	3/4-1/x=1/(2x)	$\frac{3}{4} - \frac{1}{x} = \frac{1}{2 x}$
111874	Evaluate the Function	f(x+h)=4x^2+4x-3	$f (x + h) = 4 x^{2} + 4 x - 3$
111875	Solve by Factoring	3/(2x)-9/2=6x	$\frac{3}{2 x} - \frac{9}{2} = 6 x$
111876	Solve by Factoring	3/v=8/13	$\frac{3}{v} = \frac{8}{13}$
111877	Evaluate the Function	f(5)=5x-3	$f (5) = 5 x - 3$
111878	Solve by Factoring	3/n+2/(n-1)=2	$\frac{3}{n} + \frac{2}{n - 1} = 2$
111879	Solve by Factoring	3/x+3/(x-2)=1	$\frac{3}{x} + \frac{3}{x - 2} = 1$
111880	Find the x and y Intercepts	k(x)=(x-1)^2-4	$k (x) = {(x - 1)}^{2} - 4$
111881	Solve by Factoring	3/x=x/12	$\frac{3}{x} = \frac{x}{12}$
111882	Solve by Factoring	3/x+3=3/(4x)+25/8	$\frac{3}{x} + 3 = \frac{3}{4 x} + \frac{25}{8}$
111883	Solve by Factoring	3/x+3=5/(4x)+25/8	$\frac{3}{x} + 3 = \frac{5}{4 x} + \frac{25}{8}$
111884	Solve by Factoring	x^3-6x^2-x+6=0	$x^{3} - 6 x^{2} - x + 6 = 0$
111885	Solve by Factoring	x^3-6x^2-4x+24=0	$x^{3} - 6 x^{2} - 4 x + 24 = 0$
111886	Solve by Factoring	x^3-512=0	$x^{3} - 512 = 0$
111887	Find the Domain	f(x) = square root of 16-2x	$f (x) = \sqrt{16 - 2 x}$
111888	Solve by Factoring	x^3-4x^2-9x+36=0	$x^{3} - 4 x^{2} - 9 x + 36 = 0$
111889	Solve by Factoring	x^3-4x^2+3x=0	$x^{3} - 4 x^{2} + 3 x = 0$
111890	Solve by Factoring	x^3-15x^2+54x=0	$x^{3} - 15 x^{2} + 54 x = 0$
111891	Solve by Factoring	x^3-2x^2+4=3.6	$x^{3} - 2 x^{2} + 4 = 3.6$
111892	Solve by Factoring	X^4+34X^2+225=0	$X^{4} + 34 X^{2} + 225 = 0$
111893	Solve by Factoring	x^4-x^2-42=0	$x^{4} - x^{2} - 42 = 0$
111894	Write in Standard Form	x^2-2x+y^2-35=0	$x^{2} - 2 x + y^{2} - 35 = 0$
111895	Solve by Factoring	x^4-x^2=0	$x^{4} - x^{2} = 0$
111896	Solve by Factoring	x^4-x^3+5x^2-25x-500=0	$x^{4} - x^{3} + 5 x^{2} - 25 x - 500 = 0$
111897	Find the Domain and Range	f(x)=-1/2x^2-4x+10	$f (x) = - \frac{1}{2} x^{2} - 4 x + 10$
111898	Solve by Factoring	x^3-9x^2+18x=0	$x^{3} - 9 x^{2} + 18 x = 0$
111899	Solve by Factoring	x^6+x^3-30=0	$x^{6} + x^{3} - 30 = 0$
111900	Solve by Factoring	x^6-x^3=110	$x^{6} - x^{3} = 110$