Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
36501	Solve by Factoring	(x+1)/(x+6)=(x^2-38x)/(x^2+4x-12)-(x-6)/(x-2)	$\frac{x + 1}{x + 6} = \frac{x^{2} - 38 x}{x^{2} + 4 x - 12} - \frac{x - 6}{x - 2}$
36502	Find the Vertex Form	y=4x^2-16x+15	$y = 4 x^{2} - 16 x + 15$
36503	Solve by Factoring	x^6-1=0	$x^{6} - 1 = 0$
36504	Find the Vertex Form	y=-3x^2-18x-25	$y = - 3 x^{2} - 18 x - 25$
36505	Solve by Factoring	x^4-4x^2-5=0	$x^{4} - 4 x^{2} - 5 = 0$
36506	Find the Vertex Form	y=2x^2+6x+10	$y = 2 x^{2} + 6 x + 10$
36507	Solve by Factoring	x^4-34x^2=-225	$x^{4} - 34 x^{2} = - 225$
36508	Find the Vertex Form	y=2x^2+7x+5	$y = 2 x^{2} + 7 x + 5$
36509	Solve by Factoring	x^4-37x^2=-36	$x^{4} - 37 x^{2} = - 36$
36510	Find the Vertex Form	y=2x^2+20x-1	$y = 2 x^{2} + 20 x - 1$
36511	Solve by Factoring	x^4-7x^2+10=0	$x^{4} - 7 x^{2} + 10 = 0$
36512	Simplify	3/( square root of 17- square root of 2)	$\frac{3}{\sqrt{17} - \sqrt{2}}$
36513	Find the Vertex Form	y=2(x+7/2)^2+1/2	$y = 2 {(x + \frac{7}{2})}^{2} + \frac{1}{2}$
36514	Solve by Factoring	24/(2x-10)+1/(x-5)=13/2	$\frac{24}{2 x - 10} + \frac{1}{x - 5} = \frac{13}{2}$
36515	Find the Vertex Form	y=x^2-8x+29	$y = x^{2} - 8 x + 29$
36516	Solve by Factoring	(2x-1)/(x+2)=4/5	$\frac{2 x - 1}{x + 2} = \frac{4}{5}$
36517	Find the Vertex Form	x=y^2-4y+40	$x = y^{2} - 4 y + 40$
36518	Solve by Factoring	(2x)/(x-2)=5+(4x^2)/(x-2)	$\frac{2 x}{x - 2} = 5 + \frac{4 x^{2}}{x - 2}$
36519	Find the Vertex Form	y=5x^2+15x-2	$y = 5 x^{2} + 15 x - 2$
36520	Solve by Factoring	2/(13x)+1/4=95/(26x)-1/3	$\frac{2}{13 x} + \frac{1}{4} = \frac{95}{26 x} - \frac{1}{3}$
36521	Solve by Factoring	2/(x-2)-4/(x^2-2x)=5	$\frac{2}{x - 2} - \frac{4}{x^{2} - 2 x} = 5$
36522	Find the Vertex Form	x^2-16x+17=0	$x^{2} - 16 x + 17 = 0$
36523	Solve by Factoring	3/(x-7)+4/(x+2)=1	$\frac{3}{x - 7} + \frac{4}{x + 2} = 1$
36524	Solve by Factoring	100/(x^2-25)-1=(2x)/(x-5)	$\frac{100}{x^{2} - 25} - 1 = \frac{2 x}{x - 5}$
36525	Find the Vertex Form	y=x^2+10x+19	$y = x^{2} + 10 x + 19$
36526	Solve by Factoring	16/(x^2-4)-1=(2x)/(x-2)	$\frac{16}{x^{2} - 4} - 1 = \frac{2 x}{x - 2}$
36527	Find the Vertex Form	y=x^2+8x+31/2	$y = x^{2} + 8 x + \frac{31}{2}$
36528	Solve by Factoring	1/(x-2)+1/(x^2-7x+10)=6/(x-2)	$\frac{1}{x - 2} + \frac{1}{x^{2} - 7 x + 10} = \frac{6}{x - 2}$
36529	Find the Vertex Form	y=-x^2+5x-7	$y = - x^{2} + 5 x - 7$
36530	Solve by Factoring	1/(6b^2)+1/(6b)=1/(b^2)	$\frac{1}{6 b^{2}} + \frac{1}{6 b} = \frac{1}{b^{2}}$
36531	Find the Vertex Form	y=x^2+6x+21/2	$y = x^{2} + 6 x + \frac{21}{2}$
36532	Solve by Factoring	1/8+2/t=17/(8t)	$\frac{1}{8} + \frac{2}{t} = \frac{17}{8 t}$
36533	Solve by Factoring	n^2+7n+15=5	$n^{2} + 7 n + 15 = 5$
36534	Solve by Factoring	m/(m-4)-5=4/(m-4)	$\frac{m}{m - 4} - 5 = \frac{4}{m - 4}$
36535	Solve by Factoring	9^(x^2)*3^(5x)=27	$9^{x^{2}} \cdot 3^{5 x} = 27$
36536	Solve by Graphing	-1/3x-1=-2x-4	$- \frac{1}{3} x - 1 = - 2 x - 4$
36537	Solve by Factoring	square root of x^2+2x-10 = square root of x+20	$\sqrt{x^{2} + 2 x - 10} = \sqrt{x + 20}$
36538	Solve by Graphing	\|-4x\|-4=4	$\| - 4 x \| - 4 = 4$
36539	Solve by Factoring	square root of 2x-5-1=2	$\sqrt{2 x - 5} - 1 = 2$
36540	Solve by Graphing	\|3x-7\|=-4x+1	$\| 3 x - 7 \| = - 4 x + 1$
36541	Solve by Factoring	square root of 2x-1=5	$\sqrt{2 x - 1} = 5$
36542	Solve by Graphing	x^3+6x^2-40x=192	$x^{3} + 6 x^{2} - 40 x = 192$
36543	Solve by Factoring	(6x)/(x+4)+4=(2x+2)/(x-1)	$\frac{6 x}{x + 4} + 4 = \frac{2 x + 2}{x - 1}$
36544	Solve by Factoring	(6x+1)/(x-2)+4/x=-8/(x^2-2x)	$\frac{6 x + 1}{x - 2} + \frac{4}{x} = \frac{- 8}{x^{2} - 2 x}$
36545	Solve by Factoring	(7x+1)/(x-2)+2/x=-4/(x^2-2x)	$\frac{7 x + 1}{x - 2} + \frac{2}{x} = \frac{- 4}{x^{2} - 2 x}$
36546	Solve by Graphing	9x^2+16x^2>144	$9 x^{2} + 16 y^{2} > 144$
36547	Solve by Factoring	4/(x-4)=x/(x-4)-4/3	$\frac{4}{x - 4} = \frac{x}{x - 4} - \frac{4}{3}$
36548	Solve by Graphing	1/2x+3=-3x-4	$\frac{1}{2} x + 3 = - 3 x - 4$
36549	Write in Standard Form	(5+6i)/(6+i)	$\frac{5 + 6 i}{6 + i}$
36550	Write in Standard Form	5/(2+i)	$\frac{5}{2 + i}$
36551	Write in Standard Form	(3+7i)/(1+i)	$\frac{3 + 7 i}{1 + i}$
36552	Write in Standard Form	(208i)/(5+i)	$\frac{208 i}{5 + i}$
36553	Write in Standard Form	2/(2+5i)	$\frac{2}{2 + 5 i}$
36554	Solve by Graphing	x=x(x) = log base 4 of x	$y = f (x) = \log_{4} (x)$
36555	Solve by Completing the Square	x^2+12x+27=0	$x^{2} + 12 x + 27 = 0$
36556	Solve by Completing the Square	x^2+12x+31=0	$x^{2} + 12 x + 31 = 0$
36557	Solve by Completing the Square	x^2+10x+19=0	$x^{2} + 10 x + 19 = 0$
36558	Solve by Completing the Square	p^2-8p+21=6	$p^{2} - 8 p + 21 = 6$
36559	Solve by Completing the Square	x^2+14x+35=0	$x^{2} + 14 x + 35 = 0$
36560	Solve by Graphing	x^6-8=7x^3	$x^{6} - 8 = 7 x^{3}$
36561	Solve by Completing the Square	x^2+2x-13=0	$x^{2} + 2 x - 13 = 0$
36562	Solve by Completing the Square	x^2+5x-10=0	$x^{2} + 5 x - 10 = 0$
36563	Solve by Completing the Square	x^2+3x=0	$x^{2} + 3 x = 0$
36564	Solve by Graphing	square root of 4x+97=2x-1	$\sqrt{4 x + 97} = 2 x - 1$
36565	Solve by Completing the Square	x^2+4x+4=0	$x^{2} + 4 x + 4 = 0$
36566	Solve by Graphing	2x>=x^2-4	$2 y \geq x^{2} - 4$
36567	Solve by Completing the Square	x^2+8x-10=0	$x^{2} + 8 x - 10 = 0$
36568	Solve by Graphing	2^(2x)=5.3	$2^{2 x} = 5.3$
36569	Solve by Completing the Square	x^2-16x=-60	$x^{2} - 16 x = - 60$
36570	Solve by Completing the Square	x^2-18x-8=0	$x^{2} - 18 x - 8 = 0$
36571	Solve by Completing the Square	x^2-16=0	$x^{2} - 16 = 0$
36572	Solve by Graphing	5-2x=-1	$5 - 2 x = - 1$
36573	Solve by Completing the Square	x^2-2x-10=0	$x^{2} - 2 x - 10 = 0$
36574	Solve by Graphing	(x^2)/49+(x^2)/25>=1	$\frac{x^{2}}{49} + \frac{y^{2}}{25} \geq 1$
36575	Solve by Completing the Square	x^2-4x+13=0	$x^{2} - 4 x + 13 = 0$
36576	Solve by Completing the Square	x^2-10x+14=0	$x^{2} - 10 x + 14 = 0$
36577	Solve by Completing the Square	x^2-10x+23=0	$x^{2} - 10 x + 23 = 0$
36578	Solve by Graphing	1/3x+1=2x-4	$\frac{1}{3} x + 1 = 2 x - 4$
36579	Solve by Completing the Square	x^2-12x+36=0	$x^{2} - 12 x + 36 = 0$
36580	Solve by Completing the Square	4x^2-8x+1=0	$4 x^{2} - 8 x + 1 = 0$
36581	Solve by Graphing	\|11x-1\|+12=7	$\| 11 x - 1 \| + 12 = 7$
36582	Solve by Graphing	8+5x=3x	$8 + 5 x = 3 x$
36583	Solve by Completing the Square	x^2-4x-32=0	$x^{2} - 4 x - 32 = 0$
36584	Solve by Completing the Square	x^2-4x-13=0	$x^{2} - 4 x - 13 = 0$
36585	Solve by Completing the Square	x^2-5x=0	$x^{2} - 5 x = 0$
36586	Solve by Graphing	x^2+7x+10=4	$x^{2} + 7 x + 10 = 4$
36587	Solve by Completing the Square	x^2-6x=0	$x^{2} - 6 x = 0$
36588	Solve by Completing the Square	x^2-6x=16	$x^{2} - 6 x = 16$
36589	Solve by Graphing	5\|x+3/4\|=10	$5 \| x + \frac{3}{4} \| = 10$
36590	Solve by Completing the Square	x^2-6x=20	$x^{2} - 6 x = 20$
36591	Solve by Graphing	6^x=12	$6^{y} = 12$
36592	Solve by Completing the Square	12x^2+17x=7	$12 x^{2} + 17 x = 7$
36593	Solve by Graphing	x = log base 1/2 of x	$y = \log_{\frac{1}{2}} (x)$
36594	Write in Standard Form	(8+9i)/(9-i)	$\frac{8 + 9 i}{9 - i}$
36595	Convert to Degrees, Minutes, and Seconds	12.42	$12.42$
36596	Find the Union of the Inequalities	3x-4>5 , -8x-19>21	$3 x - 4 > 5$ , $- 8 x - 19 > 21$
36597	Find the Roots (Zeros)	f(x)=x^3-8x^2+5x+14	$f (x) = x^{3} - 8 x^{2} + 5 x + 14$
36598	Solve for x	log of 2x+1 = log of x-1	$\log (2 x + 1) = \log (x - 1)$
36599	Find the Roots (Zeros)	f(x)=x^3-3x^2-33x+35	$f (x) = x^{3} - 3 x^{2} - 33 x + 35$
36600	Find the Roots (Zeros)	f(x)=x^2-14x-4	$f (x) = x^{2} - 14 x - 4$