Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
56301	Solve by Completing the Square	2x^2+5x-8=0	$2 x^{2} + 5 x - 8 = 0$
56302	Find g(f(x))	f(x)=8/x , g(x)=8/x	$f (x) = \frac{8}{x}$ , $g (x) = \frac{8}{x}$
56303	Solve by Completing the Square	x^2-8x+20=0	$x^{2} - 8 x + 20 = 0$
56304	Solve by Completing the Square	x^2-7x+10=0	$x^{2} - 7 x + 10 = 0$
56305	Solve by Completing the Square	x^2-7x+6=0	$x^{2} - 7 x + 6 = 0$
56306	Solve by Completing the Square	4x^2-8x-12=0	$4 x^{2} - 8 x - 12 = 0$
56307	Solve by Completing the Square	4x^2-9x-7=0	$4 x^{2} - 9 x - 7 = 0$
56308	Find g(f(x))	f(x)=2x-8 , g(x)=(x+2)/8	$f (x) = 2 x - 8$ , $g (x) = \frac{x + 2}{8}$
56309	Solve by Completing the Square	3x^2-4x-1=0	$3 x^{2} - 4 x - 1 = 0$
56310	Solve by Completing the Square	4x^2+20x+25=0	$4 x^{2} + 20 x + 25 = 0$
56311	Find g(f(x))	f(x)=x+7 g(x)=3x-2	$f (x) = x + 7$ $g (x) = 3 x - 2$
56312	Solve by Completing the Square	x^2-12x+21=0	$x^{2} - 12 x + 21 = 0$
56313	Solve by Completing the Square	x^2-12x+29=0	$x^{2} - 12 x + 29 = 0$
56314	Solve by Completing the Square	x^2-10x+19=0	$x^{2} - 10 x + 19 = 0$
56315	Solve by Completing the Square	x^2+8x-7=0	$x^{2} + 8 x - 7 = 0$
56316	Solve by Completing the Square	x^2=3-2x	$x^{2} = 3 - 2 x$
56317	Solve by Completing the Square	x^2-4x=19	$x^{2} - 4 x = 19$
56318	Find g(f(x))	f(x)=2/3x-5 , g(x)=(3x+15)/2	$f (x) = \frac{2}{3} x - 5$ , $g (x) = \frac{3 x + 15}{2}$
56319	Solve by Completing the Square	x^2-2x+1=0	$x^{2} - 2 x + 1 = 0$
56320	Solve by Completing the Square	x^2-14x+39=0	$x^{2} - 14 x + 39 = 0$
56321	Solve by Completing the Square	x^2-18x+67=0	$x^{2} - 18 x + 67 = 0$
56322	Solve by Completing the Square	x^2+6x-12=0	$x^{2} + 6 x - 12 = 0$
56323	Solve by Completing the Square	x^2+6x=1	$x^{2} + 6 x = 1$
56324	Solve by Completing the Square	x^2+4x-45=0	$x^{2} + 4 x - 45 = 0$
56325	Solve by Completing the Square	x^2+3x-28=0	$x^{2} + 3 x - 28 = 0$
56326	Solve by Completing the Square	x^2+2x=63	$x^{2} + 2 x = 63$
56327	Solve by Completing the Square	x^2+2x=12	$x^{2} + 2 x = 12$
56328	Solve by Completing the Square	x^2+2x-63=0	$x^{2} + 2 x - 63 = 0$
56329	Solve by Completing the Square	x^2+22x-10=0	$x^{2} + 22 x - 10 = 0$
56330	Find g(f(x))	f(x)=x^2+9 , g(x) = square root of x-9	$f (x) = x^{2} + 9$ , $g (x) = \sqrt{x - 9}$
56331	Solve by Completing the Square	x^2+14x-38=0	$x^{2} + 14 x - 38 = 0$
56332	Solve by Completing the Square	x^2+12x+6=0	$x^{2} + 12 x + 6 = 0$
56333	Find g(f(x))	f(x)=5/(1-7x) , g(x)=1/x	$f (x) = \frac{5}{1 - 7 x}$ , $g (x) = \frac{1}{x}$
56334	Solve by Completing the Square	x^2+11x-6=0	$x^{2} + 11 x - 6 = 0$
56335	Solve by Completing the Square	k^2+8k+12=0	$k^{2} + 8 k + 12 = 0$
56336	Write in Standard Form	(12i)/(1+i)	$\frac{12 i}{1 + i}$
56337	Find g(f(x))	f(x)=2x-3 , g(x)=6-4x	$f (x) = 2 x - 3$ , $g (x) = 6 - 4 x$
56338	Write in Standard Form	13/(5-12i)	$\frac{13}{5 - 12 i}$
56339	Find g(f(x))	f(x)=6x-8 , g(x)=(x+8)/6	$f (x) = 6 x - 8$ , $g (x) = \frac{x + 8}{6}$
56340	Write in Standard Form	13/(1-i)	$\frac{13}{1 - i}$
56341	Find g(f(x))	f(x)=x-7 , g(x)=x^3	$f (x) = x - 7$ , $g (x) = x^{3}$
56342	Find g(f(x))	f(x)=4x-8 , g(x)=x/4+2	$f (x) = 4 x - 8$ , $g (x) = \frac{x}{4} + 2$
56343	Write in Standard Form	7/(4+3i)	$\frac{7}{4 + 3 i}$
56344	Write in Standard Form	5/(3-i)	$\frac{5}{3 - i}$
56345	Write in Standard Form	(7i)/(2+2i)	$\frac{7 i}{2 + 2 i}$
56346	Write in Standard Form	(7i)/(8+i)	$\frac{7 i}{8 + i}$
56347	Write in Standard Form	8/(2-i)	$\frac{8}{2 - i}$
56348	Write in Standard Form	(8i)/(-1+3i)	$\frac{8 i}{- 1 + 3 i}$
56349	Solve by Factoring	4/x=7/(4x)+3	$\frac{4}{x} = \frac{7}{4 x} + 3$
56350	Solve by Factoring	4/6=8/(x-1)	$\frac{4}{6} = \frac{8}{x - 1}$
56351	Find g(f(x))	f(x)=1/(x-4) , g(x)=4/x+4	$f (x) = \frac{1}{x - 4}$ , $g (x) = \frac{4}{x} + 4$
56352	Solve by Factoring	(6x)/(x-3)=(4x+6)/(x-3)	$\frac{6 x}{x - 3} = \frac{4 x + 6}{x - 3}$
56353	Solve by Factoring	7/(x+1)=5/(x-3)	$\frac{7}{x + 1} = \frac{5}{x - 3}$
56354	Solve by Factoring	6/(x-1)=4/(x-2)+2/(x+1)	$\frac{6}{x - 1} = \frac{4}{x - 2} + \frac{2}{x + 1}$
56355	Solve by Factoring	6/(x+3)-5/(x-2)=-20/(x^2+x-6)	$\frac{6}{x + 3} - \frac{5}{x - 2} = \frac{- 20}{x^{2} + x - 6}$
56356	Solve by Factoring	6/(x-4)=4/x	$\frac{6}{x - 4} = \frac{4}{x}$
56357	Solve by Factoring	6/(x-6)=x/(x-6)-6/2	$\frac{6}{x - 6} = \frac{x}{x - 6} - \frac{6}{2}$
56358	Solve by Factoring	6/(b-1)=9/7	$\frac{6}{b - 1} = \frac{9}{7}$
56359	Solve by Factoring	square root of 2x-4=6	$\sqrt{2 x - 4} = 6$
56360	Solve by Factoring	square root of 2x-1-1=2	$\sqrt{2 x - 1} - 1 = 2$
56361	Find g(f(x))	f(x)=2x g(x)=x+2	$f (x) = 2 x$ $g (x) = x + 2$
56362	Solve by Factoring	square root of 2x+7=5	$\sqrt{2 x + 7} = 5$
56363	Find g(f(x))	f(x)=3/x g(x)=3x	$f (x) = \frac{3}{x}$ $g (x) = 3 x$
56364	Solve by Factoring	square root of 2x+3=7	$\sqrt{2 x + 3} = 7$
56365	Find g(f(x))	f(x)=-4x+9 , g(x)=2x+7	$f (x) = - 4 x + 9$ , $g (x) = 2 x + 7$
56366	Solve by Factoring	square root of 2x=10	$\sqrt{2 x} = 10$
56367	Solve by Factoring	square root of 2x+10=x+6	$\sqrt{2 x} + 10 = x + 6$
56368	Solve by Factoring	r^(4/7)=16	$r^{\frac{4}{7}} = 16$
56369	Solve by Factoring	q^2+6q-7=0	$q^{2} + 6 q - 7 = 0$
56370	Solve by Factoring	(p+10)/(p-7)=8/9	$\frac{p + 10}{p - 7} = \frac{8}{9}$
56371	Find g(f(x))	f(x)=5x-2 , g(x)=(x+2)/5	$f (x) = 5 x - 2$ , $g (x) = \frac{x + 2}{5}$
56372	Solve by Factoring	t/(t-6)=(t+6)/9	$\frac{t}{t - 6} = \frac{t + 6}{9}$
56373	Solve by Factoring	t^2-3t=28	$t^{2} - 3 t = 28$
56374	Solve by Factoring	square root of 10x-9=9	$\sqrt{10 x - 9} = 9$
56375	Solve by Factoring	a/(a-6)=-2/(a-1)	$\frac{a}{a - 6} = \frac{- 2}{a - 1}$
56376	Solve by Factoring	n/(n-4)+n=(12-4n)/(n-4)	$\frac{n}{n - 4} + n = \frac{12 - 4 n}{n - 4}$
56377	Solve by Factoring	(z^2)/3=z/2+5/6	$\frac{z^{2}}{3} = \frac{z}{2} + \frac{5}{6}$
56378	Solve by Factoring	1/(5x)-1/(4x)+1/(3x)=-17/60	$\frac{1}{5 x} - \frac{1}{4 x} + \frac{1}{3 x} = \frac{- 17}{60}$
56379	Solve by Factoring	1/(x+7)+14/(x^2-49)=1	$\frac{1}{x + 7} + \frac{14}{x^{2} - 49} = 1$
56380	Find the Domain	f(x)=(8x^2)/(x^2-49)	$f (x) = \frac{8 x^{2}}{x^{2} - 49}$
56381	Solve by Factoring	1/(x-3)+1/(x+3)=10/(x^2-9)	$\frac{1}{x - 3} + \frac{1}{x + 3} = \frac{10}{x^{2} - 9}$
56382	Solve by Factoring	1/(r-2)+1/(r^2-7r+10)=6/(r-2)	$\frac{1}{r - 2} + \frac{1}{r^{2} - 7 r + 10} = \frac{6}{r - 2}$
56383	Find g(f(x))	f(x)=2x-7 , g(x)=(x+7)/2	$f (x) = 2 x - 7$ , $g (x) = \frac{x + 7}{2}$
56384	Solve by Factoring	1/(h-5)+2/(h+5)=16/(h^2-25)	$\frac{1}{h - 5} + \frac{2}{h + 5} = \frac{16}{h^{2} - 25}$
56385	Solve by Factoring	1/n=1/(5n)-(n-1)/(5n)	$\frac{1}{n} = \frac{1}{5 n} - \frac{n - 1}{5 n}$
56386	Solve by Factoring	1/(x+1)+2/(x-1)=5	$\frac{1}{x + 1} + \frac{2}{x - 1} = 5$
56387	Solve by Factoring	1/x+1/(x-7)=(x-6)/(x-7)	$\frac{1}{x} + \frac{1}{x - 7} = \frac{x - 6}{x - 7}$
56388	Find g(f(x))	f(x)=5x+6 ; g(x)=7x-8	$f (x) = 5 x + 6$ ; $g (x) = 7 x - 8$
56389	Solve by Factoring	18/(3x-9)+1/(x-3)=7/3	$\frac{18}{3 x - 9} + \frac{1}{x - 3} = \frac{7}{3}$
56390	Find g(f(x))	f(x)=10x^2-8x , g(x)=7x-3	$f (x) = 10 x^{2} - 8 x$ , $g (x) = 7 x - 3$
56391	Solve by Factoring	18/x=x-3	$\frac{18}{x} = x - 3$
56392	Find g(f(x))	f(x)=3x-3 , g(x)=(x+3)/3	$f (x) = 3 x - 3$ , $g (x) = \frac{x + 3}{3}$
56393	Solve by Factoring	14/x=x-5	$\frac{14}{x} = x - 5$
56394	Find g(f(x))	f(x)=4x-4 , g(x)=1/4x+4	$f (x) = 4 x - 4$ , $g (x) = \frac{1}{4} x + 4$
56395	Solve by Factoring	12/x=x-4	$\frac{12}{x} = x - 4$
56396	Find g(f(x))	f(x)=8/(x-4) , g(x)=8/x+4	$f (x) = \frac{8}{x - 4}$ , $g (x) = \frac{8}{x} + 4$
56397	Solve by Factoring	(11(x-3))/(x-4)+13/x=-13/(x(x-4))	$\frac{11 (x - 3)}{x - 4} + \frac{13}{x} = \frac{- 13}{x (x - 4)}$
56398	Find g(f(x))	f(x)=5x-4 , g(x)=(x+5)/4	$f (x) = 5 x - 4$ , $g (x) = \frac{x + 5}{4}$
56399	Solve by Factoring	2/(3x)+1/4=88/(6x)-1/3	$\frac{2}{3 x} + \frac{1}{4} = \frac{88}{6 x} - \frac{1}{3}$
56400	Solve by Factoring	2/(11x)+1/4=81/(22x)-1/3	$\frac{2}{11 x} + \frac{1}{4} = \frac{81}{22 x} - \frac{1}{3}$