Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
51101	Solve by Factoring	fourth root of w-4+11=14	$\sqrt[4]{w - 4} + 11 = 14$
51102	Solve by Factoring	x^2=x+20	$x^{2} = x + 20$
51103	Solve by Factoring	x^2+x-42=0	$x^{2} + x - 42 = 0$
51104	Find the Asymptotes	y=1/x-x/(x+2)	$y = \frac{1}{x} - \frac{x}{x + 2}$
51105	Solve by Factoring	x^2=121	$x^{2} = 121$
51106	Solve by Factoring	x^2+64=0	$x^{2} + 64 = 0$
51107	Find the Asymptotes	y=(x^2-5)/(2x^2-12)	$y = \frac{x^{2} - 5}{2 x^{2} - 12}$
51108	Solve by Factoring	x^2+4x=21	$x^{2} + 4 x = 21$
51109	Find the Asymptotes	y=1/(x-2)-6	$y = \frac{1}{x - 2} - 6$
51110	Find the Asymptotes	y = log of x-4	$y = \log (x - 4)$
51111	Find the Asymptotes	y=(x+5)/((x-4)(x-6))	$y = \frac{x + 5}{(x - 4) (x - 6)}$
51112	Solve by Factoring	x^2+3x+4=0	$x^{2} + 3 x + 4 = 0$
51113	Find the Asymptotes	y=2/(x+5)	$y = \frac{2}{x + 5}$
51114	Find the Asymptotes	((y-2)^2)/(1^2)-((x-4)^2)/(3^2)=1	$\frac{{(y - 2)}^{2}}{1^{2}} - \frac{{(x - 4)}^{2}}{3^{2}} = 1$
51115	Find the Asymptotes	y=5/(x-6)+7	$y = \frac{5}{x - 6} + 7$
51116	Find the Asymptotes	y = log base 4 of x-5	$y = \log_{4} (x - 5)$
51117	Find the Asymptotes	y = log base 2 of x+2	$y = \log_{2} (x) + 2$
51118	Find the Asymptotes	576x^2-16y^2=144	$576 x^{2} - 16 y^{2} = 144$
51119	Solve by Factoring	x^3+5x^2-24x=0	$x^{3} + 5 x^{2} - 24 x = 0$
51120	Find the Asymptotes	y=1/(x-7)+4	$y = \frac{1}{x - 7} + 4$
51121	Find the Asymptotes	y=(5x+15)/(x+3)	$y = \frac{5 x + 15}{x + 3}$
51122	Solve by Factoring	x^3+2x^2=81x+162	$x^{3} + 2 x^{2} = 81 x + 162$
51123	Find the Asymptotes	y=(1/2)^x+1	$y = {(\frac{1}{2})}^{x} + 1$
51124	Solve by Factoring	x^3+2x^2-8x=0	$x^{3} + 2 x^{2} - 8 x = 0$
51125	Find the Asymptotes	y=- log base 4 of x+2	$y = - \log_{4} (x) + 2$
51126	Solve by Factoring	x^3+3x^2-49x-147=0	$x^{3} + 3 x^{2} - 49 x - 147 = 0$
51127	Find the Asymptotes	y=1/(x-6)	$y = \frac{1}{x - 6}$
51128	Solve by Factoring	x^3+3x^2-9x=27	$x^{3} + 3 x^{2} - 9 x = 27$
51129	Find the Asymptotes	y=5^x-3	$y = 5^{x} - 3$
51130	Solve by Factoring	x^3+x^2-6x=0	$x^{3} + x^{2} - 6 x = 0$
51131	Find the Asymptotes	y = log base 4 of x-2	$y = \log_{4} (x - 2)$
51132	Solve by Factoring	x^3+x^2-2x=0	$x^{3} + x^{2} - 2 x = 0$
51133	Solve by Factoring	x^3-x^2-9x+9=0	$x^{3} - x^{2} - 9 x + 9 = 0$
51134	Find the Asymptotes	y = log base 4 of x-1	$y = \log_{4} (x) - 1$
51135	Solve by Factoring	2x^3-x^2-18x+9=0	$2 x^{3} - x^{2} - 18 x + 9 = 0$
51136	Describe the Transformation	y=3/(x+2)+5	$y = \frac{3}{x + 2} + 5$
51137	Solve by Factoring	2x^2-x-1=0	$2 x^{2} - x - 1 = 0$
51138	Solve by Factoring	2x^3-5x^2-4x+10=0	$2 x^{3} - 5 x^{2} - 4 x + 10 = 0$
51139	Describe the Transformation	g(x)=3(x-2)^4-4	$g (x) = 3 {(x - 2)}^{4} - 4$
51140	Solve by Factoring	2x^2-5x-12=0	$2 x^{2} - 5 x - 12 = 0$
51141	Describe the Transformation	g(x)=\|1/2x\|+1	$g (x) = \| \frac{1}{2} x \| + 1$
51142	Solve by Factoring	2x^2-5x=3	$2 x^{2} - 5 x = 3$
51143	Solve by Factoring	-2=3-7 fifth root of x^2	$- 2 = 3 - 7 \sqrt[5]{x^{2}}$
51144	Describe the Transformation	g(x) = square root of x-2+6	$g (x) = \sqrt{x - 2} + 6$
51145	Solve by Factoring	y^3+y^2=9y+9	$y^{3} + y^{2} = 9 y + 9$
51146	Solve by Factoring	(x-3)/x=9/10	$\frac{x - 3}{x} = \frac{9}{10}$
51147	Solve by Factoring	x^6-72x^3+512=0	$x^{6} - 72 x^{3} + 512 = 0$
51148	Describe the Transformation	g(x)=2 cube root of x-1+4	$g (x) = 2 \sqrt[3]{x - 1} + 4$
51149	Solve by Factoring	x^6-19x^3-216=0	$x^{6} - 19 x^{3} - 216 = 0$
51150	Solve by Factoring	x^4-27x^2+50=0	$x^{4} - 27 x^{2} + 50 = 0$
51151	Solve by Factoring	x^4-22x^2+96=0	$x^{4} - 22 x^{2} + 96 = 0$
51152	Describe the Transformation	g(x)=\|1/3x\|+3	$g (x) = \| \frac{1}{3} x \| + 3$
51153	Solve by Factoring	x^4-23x^2+112=0	$x^{4} - 23 x^{2} + 112 = 0$
51154	Solve by Factoring	x^6+x^3-12=0	$x^{6} + x^{3} - 12 = 0$
51155	Describe the Transformation	g(x)=\|x+1\|-7	$g (x) = \| x + 1 \| - 7$
51156	Solve by Factoring	x^3-x=2x^2-2	$x^{3} - x = 2 x^{2} - 2$
51157	Solve by Factoring	x^3-9x^2-x+9=0	$x^{3} - 9 x^{2} - x + 9 = 0$
51158	Describe the Transformation	f(x)=(x-6)^2+5	$f (x) = {(x - 6)}^{2} + 5$
51159	Solve by Factoring	-x^4+2x^3+8x^2=0	$- x^{4} + 2 x^{3} + 8 x^{2} = 0$
51160	Describe the Transformation	-\|x-6\|	$- \| x - 6 \|$
51161	Solve by Factoring	x^3-2x^2-5x+6=0	$x^{3} - 2 x^{2} - 5 x + 6 = 0$
51162	Describe the Transformation	g(x) = square root of x-3+2	$g (x) = \sqrt{x - 3} + 2$
51163	Solve by Factoring	x^3-14x-8=0	$x^{3} - 14 x - 8 = 0$
51164	Solve by Factoring	x^3-34x+12=0	$x^{3} - 34 x + 12 = 0$
51165	Solve by Factoring	(2x-6)/x=(x-2)/4	$\frac{2 x - 6}{x} = \frac{x - 2}{4}$
51166	Describe the Transformation	g(x)=-1/3(x+3)^2	$g (x) = - \frac{1}{3} {(x + 3)}^{2}$
51167	Solve by Factoring	(3x+6)/3-(4x)/(x-2)=x	$\frac{3 x + 6}{3} - \frac{4 x}{x - 2} = x$
51168	Describe the Transformation	h(x)=\|x+3\|+4	$h (x) = \| x + 3 \| + 4$
51169	Solve by Factoring	36/(x^2-9)+1=(2x)/(x-3)	$\frac{36}{x^{2} - 9} + 1 = \frac{2 x}{x - 3}$
51170	Describe the Transformation	g(x)=1/8 cube root of x	$g (x) = \frac{1}{8} \sqrt[3]{x}$
51171	Solve by Factoring	(2x)/(x-2)=9+(25x^2)/(x-2)	$\frac{2 x}{x - 2} = 9 + \frac{25 x^{2}}{x - 2}$
51172	Describe the Transformation	h(x)=1/x-5	$h (x) = \frac{1}{x} - 5$
51173	Solve by Factoring	(2x+4)/(5x)=2/x	$\frac{2 x + 4}{5 x} = \frac{2}{x}$
51174	Describe the Transformation	s(x)=(x-5)^3	$s (x) = {(x - 5)}^{3}$
51175	Solve by Factoring	(2x)/(x+2)-2=(x-8)/(x-2)	$\frac{2 x}{x + 2} - 2 = \frac{x - 8}{x - 2}$
51176	Solve by Factoring	25^(x^2)*5^(7x)=625	$25^{x^{2}} \cdot 5^{7 x} = 625$
51177	Describe the Transformation	h(x)=1/7x^3	$h (x) = \frac{1}{7} x^{3}$
51178	Solve by Factoring	2/(x^2-9)+5/(x-3)=3/(x+3)	$\frac{2}{x^{2} - 9} + \frac{5}{x - 3} = \frac{3}{x + 3}$
51179	Describe the Transformation	h(x)=-2x+3	$h (x) = - 2 x + 3$
51180	Solve by Factoring	2/d+1/4=11/12	$\frac{2}{d} + \frac{1}{4} = \frac{11}{12}$
51181	Describe the Transformation	g(x)=x^3-2	$g (x) = x^{3} - 2$
51182	Solve by Factoring	2/(5x)+1/4=74/(10x)-1/3	$\frac{2}{5 x} + \frac{1}{4} = \frac{74}{10 x} - \frac{1}{3}$
51183	Solve by Factoring	18/(3x-12)+1/(x-4)=7/3	$\frac{18}{3 x - 12} + \frac{1}{x - 4} = \frac{7}{3}$
51184	Describe the Transformation	y=x^2+13	$y = x^{2} + 13$
51185	Describe the Transformation	f(x)=\|x-1\|	$f (x) = \| x - 1 \|$
51186	Solve by Factoring	1/x-x/25=0	$\frac{1}{x} - \frac{x}{25} = 0$
51187	Solve by Factoring	1/x-x/81=0	$\frac{1}{x} - \frac{x}{81} = 0$
51188	Describe the Transformation	f(x)=(1/8x)^2	$f (x) = {(\frac{1}{8} x)}^{2}$
51189	Solve by Factoring	1/x-x/9=0	$\frac{1}{x} - \frac{x}{9} = 0$
51190	Describe the Transformation	g(x)=(1/2)*5^(x-3)+2	$g (x) = (\frac{1}{2}) \cdot 5^{x - 3} + 2$
51191	Solve by Factoring	1/R=1/R+1/(R^2)	$\frac{1}{R} = \frac{1}{R} + \frac{1}{R^{2}}$
51192	Describe the Transformation	square root of 9x+45-2	$\sqrt{9 x + 45} - 2$
51193	Solve by Factoring	1/(x-9)+1/(x+9)=18/(x^2-81)	$\frac{1}{x - 9} + \frac{1}{x + 9} = \frac{18}{x^{2} - 81}$
51194	Describe the Transformation	g(x)=-\|x+2\|+6	$g (x) = - \| x + 2 \| + 6$
51195	Solve by Factoring	1/6+1/7=1/x	$\frac{1}{6} + \frac{1}{7} = \frac{1}{x}$
51196	Describe the Transformation	h(x)=6/x	$h (x) = \frac{6}{x}$
51197	Solve by Factoring	1/a-5/(3a)=1/3	$\frac{1}{a} - \frac{5}{3 a} = \frac{1}{3}$
51198	Describe the Transformation	g(x)=1/4\|x\|-2	$g (x) = \frac{1}{4} \| x \| - 2$
51199	Describe the Transformation	g(x) = cube root of x+2	$g (x) = \sqrt[3]{x} + 2$
51200	Solve by Factoring	1/2+1/y=6/(y+3)	$\frac{1}{2} + \frac{1}{y} = \frac{6}{y + 3}$