Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
76601	Complete the Square	5x^2+10x-1	$5 x^{2} + 10 x - 1$
76602	Solve by Factoring	3/(2x)-1/(2(x+4))=1	$\frac{3}{2 x} - \frac{1}{2 (x + 4)} = 1$
76603	Complete the Square	5x^2+20x+12	$5 x^{2} + 20 x + 12$
76604	Solve by Factoring	3/(x^2-3x)+4/x=1/(x-3)	$\frac{3}{x^{2} - 3 x} + \frac{4}{x} = \frac{1}{x - 3}$
76605	Complete the Square	4x^2+8x+1	$4 x^{2} + 8 x + 1$
76606	Solve by Factoring	(2x-5)/(x-2)-2=3/(x+2)	$\frac{2 x - 5}{x - 2} - 2 = \frac{3}{x + 2}$
76607	Complete the Square	a^2-13a	$a^{2} - 13 a$
76608	Solve by Factoring	(2x-7)/x=(x-3)/4	$\frac{2 x - 7}{x} = \frac{x - 3}{4}$
76609	Complete the Square	9y^2+66y+121	$9 y^{2} + 66 y + 121$
76610	Solve by Factoring	36/(3x-12)+1/(x-4)=13/3	$\frac{36}{3 x - 12} + \frac{1}{x - 4} = \frac{13}{3}$
76611	Complete the Square	9x^2+42x	$9 x^{2} + 42 x$
76612	Solve by Factoring	36^x+6^(x+1)-27=0	$36^{x} + 6^{x + 1} - 27 = 0$
76613	Complete the Square	y^2-30y+c	$y^{2} - 30 y + c$
76614	Solve by Factoring	4/(x^2-1)-1=(2x)/(x-1)	$\frac{4}{x^{2} - 1} - 1 = \frac{2 x}{x - 1}$
76615	Complete the Square	y^2-30y+	$y^{2} - 30 y +$
76616	Complete the Square	y^2-26y	$y^{2} - 26 y$
76617	Solve by Factoring	4/(t^2-4)-1/4=1/(t-2)	$\frac{4}{t^{2} - 4} - \frac{1}{4} = \frac{1}{t - 2}$
76618	Complete the Square	y^2-y+	$y^{2} - y +$
76619	Complete the Square	y^2+30y	$y^{2} + 30 y$
76620	Solve by Factoring	(2x)/(x^2-4)=4/(x^2-4)-3/(x+2)	$\frac{2 x}{x^{2} - 4} = \frac{4}{x^{2} - 4} - \frac{3}{x + 2}$
76621	Complete the Square	y^2-10y+k	$y^{2} - 10 y + k$
76622	Complete the Square	z^2+22z	$z^{2} + 22 z$
76623	Solve by Factoring	(2x)/(x+8)-16/(x-8)=(2x^2+128)/(x^2-64)	$\frac{2 x}{x + 8} - \frac{16}{x - 8} = \frac{2 x^{2} + 128}{x^{2} - 64}$
76624	Complete the Square	z^2+30z	$z^{2} + 30 z$
76625	Solve by Factoring	(2x+3)/(5x-9)=3/2	$\frac{2 x + 3}{5 x - 9} = \frac{3}{2}$
76626	Complete the Square	z^2-12z	$z^{2} - 12 z$
76627	Solve by Factoring	(2x-1)/(x+3)=5/3	$\frac{2 x - 1}{x + 3} = \frac{5}{3}$
76628	Complete the Square	z^2+2z+	$z^{2} + 2 z +$
76629	Complete the Square	z^2-18z	$z^{2} - 18 z$
76630	Solve by Factoring	2/(y+3)-4/(y-3)=12/(y^2-9)	$\frac{2}{y + 3} - \frac{4}{y - 3} = \frac{12}{y^{2} - 9}$
76631	Complete the Square	z^2-24z+	$z^{2} - 24 z +$
76632	Solve by Factoring	2/(t^2-1)-1/2=1/(t-1)	$\frac{2}{t^{2} - 1} - \frac{1}{2} = \frac{1}{t - 1}$
76633	Complete the Square	x^2+10x-13=17	$x^{2} + 10 x - 13 = 17$
76634	Solve by Factoring	2/(3x)+1/4=46/(6x)-1/3	$\frac{2}{3 x} + \frac{1}{4} = \frac{46}{6 x} - \frac{1}{3}$
76635	Complete the Square	x^2+5/6x+25/144	$x^{2} + \frac{5}{6} x + \frac{25}{144}$
76636	Solve by Factoring	2/(3x)+4/x=7/(x+1)	$\frac{2}{3 x} + \frac{4}{x} = \frac{7}{x + 1}$
76637	Complete the Square	x^2+6/13x+
76638	Solve by Factoring	12/(2x-8)+1/(x-4)=7/2	$\frac{12}{2 x - 8} + \frac{1}{x - 4} = \frac{7}{2}$
76639	Solve by Factoring	10^(3x)+4=9	$10^{3 x} + 4 = 9$
76640	Solve by Factoring	19/x=4-1/x	$\frac{19}{x} = 4 - \frac{1}{x}$
76641	Solve by Factoring	(1-x)/x+2=7/x	$\frac{1 - x}{x} + 2 = \frac{7}{x}$
76642	Complete the Square	x^2+12x=-7	$x^{2} + 12 x = - 7$
76643	Solve by Factoring	1/(n-8)-1=7/(n-8)	$\frac{1}{n - 8} - 1 = \frac{7}{n - 8}$
76644	Complete the Square	x^2+14x=32	$x^{2} + 14 x = 32$
76645	Solve by Factoring	1/(r-5)=7/(2r)	$\frac{1}{r - 5} = \frac{7}{2 r}$
76646	Complete the Square	x^2+16x+51	$x^{2} + 16 x + 51$
76647	Complete the Square	x^2+14x+196	$x^{2} + 14 x + 196$
76648	Solve by Factoring	1/(x+2)+1/x=1/4	$\frac{1}{x + 2} + \frac{1}{x} = \frac{1}{4}$
76649	Complete the Square	x^2+14x+34	$x^{2} + 14 x + 34$
76650	Complete the Square	x^2-8/9x	$x^{2} - \frac{8}{9} x$
76651	Solve by Factoring	1/x+1/(x+7)=(x+8)/(x+7)	$\frac{1}{x} + \frac{1}{x + 7} = \frac{x + 8}{x + 7}$
76652	Complete the Square	x^2-5/3x	$x^{2} - \frac{5}{3} x$
76653	Complete the Square	x^2+12/7x	$x^{2} + \frac{12}{7} x$
76654	Solve by Factoring	1/(x+7)+3/(x+4)=-3/(x^2+11x+28)	$\frac{1}{x + 7} + \frac{3}{x + 4} = \frac{- 3}{x^{2} + 11 x + 28}$
76655	Complete the Square	w^2-3w+n	$w^{2} - 3 w + n$
76656	Solve by Factoring	1/(x-3)+1/(x+3)=6/(x^2-9)	$\frac{1}{x - 3} + \frac{1}{x + 3} = \frac{6}{x^{2} - 9}$
76657	Solve by Factoring	1/(x-1)+4=9/(x-1)	$\frac{1}{x - 1} + 4 = \frac{9}{x - 1}$
76658	Complete the Square	u^2-16u+	$u^{2} - 16 u +$
76659	Complete the Square	u^2-12u+	$u^{2} - 12 u +$
76660	Solve by Factoring	1/4+1/9=1/x	$\frac{1}{4} + \frac{1}{9} = \frac{1}{x}$
76661	Complete the Square	U^2-8U	$U^{2} - 8 U$
76662	Solve by Factoring	1/4+1/5=1/x	$\frac{1}{4} + \frac{1}{5} = \frac{1}{x}$
76663	Solve by Factoring	1/4+9/x=5/8	$\frac{1}{4} + \frac{9}{x} = \frac{5}{8}$
76664	Complete the Square	u^2+4u	$u^{2} + 4 u$
76665	Solve by Factoring	1/3-5/6=1/x	$\frac{1}{3} - \frac{5}{6} = \frac{1}{x}$
76666	Complete the Square	v^2+16v	$v^{2} + 16 v$
76667	Solve by Factoring	1/3+1/4=1/x	$\frac{1}{3} + \frac{1}{4} = \frac{1}{x}$
76668	Complete the Square	v^2-8v+	$v^{2} - 8 v +$
76669	Solve by Factoring	1/3+6/x=5/6	$\frac{1}{3} + \frac{6}{x} = \frac{5}{6}$
76670	Complete the Square	w^2+21w+	$w^{2} + 21 w +$
76671	Solve by Factoring	1/2+2/x=1/3+3/x	$\frac{1}{2} + \frac{2}{x} = \frac{1}{3} + \frac{3}{x}$
76672	Complete the Square	w^2+4w	$w^{2} + 4 w$
76673	Complete the Square	r^2+22r	$r^{2} + 22 r$
76674	Solve by Factoring	(z^2)/6-z/2-45=0	$\frac{z^{2}}{6} - \frac{z}{2} - 45 = 0$
76675	Complete the Square	r^2-26r+c	$r^{2} - 26 r + c$
76676	Solve by Factoring	1/12+1/y=3/(y+6)	$\frac{1}{12} + \frac{1}{y} = \frac{3}{y + 6}$
76677	Complete the Square	r^2-28r	$r^{2} - 28 r$
76678	Solve by Factoring	a^4-5a^2+6=0	$a^{4} - 5 a^{2} + 6 = 0$
76679	Complete the Square	r^2-7r+49/4	$r^{2} - 7 r + \frac{49}{4}$
76680	Solve by Factoring	a^4-81=0	$a^{4} - 81 = 0$
76681	Solve by Factoring	g^3+3g^2-g-3=0	$g^{3} + 3 g^{2} - g - 3 = 0$
76682	Complete the Square	t^2+14t	$t^{2} + 14 t$
76683	Solve by Factoring	a/(a-3)=-8/(a-6)	$\frac{a}{a - 3} = \frac{- 8}{a - 6}$
76684	Complete the Square	t^2+18t	$t^{2} + 18 t$
76685	Complete the Square	t^2+10t+9	$t^{2} + 10 t + 9$
76686	Solve by Factoring	square root of 11-x = square root of x-7	$\sqrt{11 - x} = \sqrt{x - 7}$
76687	Complete the Square	t^2+20t+	$t^{2} + 20 t +$
76688	Solve by Factoring	x^2+10x+25=0	$x^{2} + 10 x + 25 = 0$
76689	Complete the Square	t^2+6t	$t^{2} + 6 t$
76690	Solve by Factoring	square root of 22x+11=x+6	$\sqrt{22 x + 11} = x + 6$
76691	Complete the Square	n^2-24n	$n^{2} - 24 n$
76692	Solve by Factoring	square root of 24-5x=x	$\sqrt{24 - 5 x} = x$
76693	Complete the Square	n^2-26n	$n^{2} - 26 n$
76694	Solve by Factoring	square root of 25x=x+4	$\sqrt{25 x} = x + 4$
76695	Complete the Square	n^2-30n	$n^{2} - 30 n$
76696	Solve by Factoring	square root of 14-5x=x	$\sqrt{14 - 5 x} = x$
76697	Complete the Square	m^2+6m	$m^{2} + 6 m$
76698	Complete the Square	n^2+5n+c	$n^{2} + 5 n + c$
76699	Solve by Factoring	square root of 1-3x=5	$\sqrt{1 - 3 x} = 5$
76700	Complete the Square	n^2+6n	$n^{2} + 6 n$