Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
39601	Find the Roots (Zeros)	x^3-6x-4=0	$x^{3} - 6 x - 4 = 0$
39602	Find the Roots (Zeros)	x^4+6x^3-5x^2-24x+4=0	$x^{4} + 6 x^{3} - 5 x^{2} - 24 x + 4 = 0$
39603	Graph	y=(3/4)\|x\|	$y = (\frac{3}{4}) \| x \|$
39604	Find the Roots (Zeros)	f(x)=x^3-9x^2+11x+21	$f (x) = x^{3} - 9 x^{2} + 11 x + 21$
39605	Find the Roots (Zeros)	f(x)=x^3+4x^2-x-4	$f (x) = x^{3} + 4 x^{2} - x - 4$
39606	Find the Roots (Zeros)	f(x)=x^3-12x^2+36x	$f (x) = x^{3} - 12 x^{2} + 36 x$
39607	Find the Roots (Zeros)	f(x)=x^3+2x^2-11x-12	$f (x) = x^{3} + 2 x^{2} - 11 x - 12$
39608	Solve by Completing the Square	2x^2+9x+4=0	$2 x^{2} + 9 x + 4 = 0$
39609	Solve by Completing the Square	2x^2+4x+1=0	$2 x^{2} + 4 x + 1 = 0$
39610	Solve by Completing the Square	x^2-6x=40	$x^{2} - 6 x = 40$
39611	Convert to Set Notation	((x+12)(x-14))/(x+10)<=0	$\frac{(x + 12) (x - 14)}{x + 10} \leq 0$
39612	Solve by Completing the Square	x^2-4x=6	$x^{2} - 4 x = 6$
39613	Solve by Completing the Square	4x^2-8x-5=0	$4 x^{2} - 8 x - 5 = 0$
39614	Convert to Set Notation	x/4-1/5<=x/5+1	$\frac{x}{4} - \frac{1}{5} \leq \frac{x}{5} + 1$
39615	Solve by Completing the Square	2x^2-7x+3=0	$2 x^{2} - 7 x + 3 = 0$
39616	Convert to Set Notation	\|7t-2\|<=12	$\| 7 t - 2 \| \leq 12$
39617	Solve by Completing the Square	x^2-10x+24=0	$x^{2} - 10 x + 24 = 0$
39618	Solve by Completing the Square	x^2-10x+10=0	$x^{2} - 10 x + 10 = 0$
39619	Solve by Completing the Square	x^2+9x+20=0	$x^{2} + 9 x + 20 = 0$
39620	Solve by Completing the Square	x^2-3x=28	$x^{2} - 3 x = 28$
39621	Convert to Set Notation	\|4x-8\|>=3	$\| 4 x - 8 \| \geq 3$
39622	Solve by Completing the Square	x^2-2x=4	$x^{2} - 2 x = 4$
39623	Solve by Completing the Square	x^2-16x+62=0	$x^{2} - 16 x + 62 = 0$
39624	Convert to Set Notation	\|125-u\|<=30	$\| 125 - u \| \leq 30$
39625	Solve by Completing the Square	x^2+7x-7=0	$x^{2} + 7 x - 7 = 0$
39626	Solve by Completing the Square	x^2+4x+20=0	$x^{2} + 4 x + 20 = 0$
39627	Convert to Set Notation	x^2<=8x-14	$x^{2} \leq 8 x - 14$
39628	Solve by Completing the Square	x^2+4x=0	$x^{2} + 4 x = 0$
39629	Solve by Completing the Square	x^2+5x-11=0	$x^{2} + 5 x - 11 = 0$
39630	Convert to Set Notation	6-5(1-x)<=5	$6 - 5 (1 - x) \leq 5$
39631	Solve by Completing the Square	x^2+14x+13=0	$x^{2} + 14 x + 13 = 0$
39632	Solve by Completing the Square	r^2+2r-33=0	$r^{2} + 2 r - 33 = 0$
39633	Convert to Set Notation	3x-3>=7+x	$3 x - 3 \geq 7 + x$
39634	Solve by Completing the Square	p^2+3p-9=0	$p^{2} + 3 p - 9 = 0$
39635	Convert to Set Notation	-4<x<=0	$- 4 < x \leq 0$
39636	Solve by Completing the Square	x^2+10x+9=0	$x^{2} + 10 x + 9 = 0$
39637	Convert to Set Notation	-44>-2x-8>=-8	$- 44 > - 2 x - 8 \geq - 8$
39638	Solve by Completing the Square	x^2+12x+30=0	$x^{2} + 12 x + 30 = 0$
39639	Solve by Completing the Square	x^2+12x=0	$x^{2} + 12 x = 0$
39640	Solve by Completing the Square	a^2+12a+20=0	$a^{2} + 12 a + 20 = 0$
39641	Convert to Set Notation	x-1<=2	$x - 1 \leq 2$
39642	Write in Standard Form	2/(2-i)	$\frac{2}{2 - i}$
39643	Find dy/dx	y=(3x*10^8)/x	$y = \frac{3 x \cdot 10^{8}}{x}$
39644	Write in Standard Form	(16i)/(1+i)	$\frac{16 i}{1 + i}$
39645	Find dy/dx	y=1/(x^7)	$y = \frac{1}{x^{7}}$
39646	Write in Standard Form	5/(3-7i)	$\frac{5}{3 - 7 i}$
39647	Solve for x	x^2-8x+41=0	$x^{2} - 8 x + 41 = 0$
39648	Write in Standard Form	8/(7-i)	$\frac{8}{7 - i}$
39649	Find dy/dx	xy^4+x^5y=x+8y	$x y^{4} + x^{5} y = x + 8 y$
39650	Solve by Factoring	5/(x^2)-54/x=11	$\frac{5}{x^{2}} - \frac{54}{x} = 11$
39651	Solve by Factoring	5/x+x/(x+4)=16/(x^2+4x)	$\frac{5}{x} + \frac{x}{x + 4} = \frac{16}{x^{2} + 4 x}$
39652	Solve by Factoring	7/x+1/(x-5)=1	$\frac{7}{x} + \frac{1}{x - 5} = 1$
39653	Solve by Factoring	square root of 2x-3-1=2	$\sqrt{2 x - 3} - 1 = 2$
39654	Solve by Factoring	square root of 2x-5=7	$\sqrt{2 x - 5} = 7$
39655	Solve by Factoring	square root of 26x-39=x+5	$\sqrt{26 x - 39} = x + 5$
39656	Solve by Factoring	square root of 21-4x=x	$\sqrt{21 - 4 x} = x$
39657	Solve by Factoring	square root of 2x=6	$\sqrt{2 x} = 6$
39658	Find dy/dx	y=e^(3x)sin(2x)	$y = e^{3 x} \sin (2 x)$
39659	Solve by Factoring	a^4-16=0	$a^{4} - 16 = 0$
39660	Solve by Factoring	1/6+1/y=3/(y+3)	$\frac{1}{6} + \frac{1}{y} = \frac{3}{y + 3}$
39661	Solve by Factoring	1/(x-3)-3/(x^2-3x)=4	$\frac{1}{x - 3} - \frac{3}{x^{2} - 3 x} = 4$
39662	Solve by Factoring	1/x+1/(x+2)=1/3	$\frac{1}{x} + \frac{1}{x + 2} = \frac{1}{3}$
39663	Solve by Factoring	1/x+1/(x+4)=1/4	$\frac{1}{x} + \frac{1}{x + 4} = \frac{1}{4}$
39664	Find Trig Functions Using Identities	sin(x)=3/5	$\sin (x) = \frac{3}{5}$
39665	Solve by Factoring	15/x=x-2	$\frac{15}{x} = x - 2$
39666	Solve by Factoring	(3x+4)/3-(4x)/(x-4)=x	$\frac{3 x + 4}{3} - \frac{4 x}{x - 4} = x$
39667	Solve by Factoring	(4(x-2))/(x-3)+3/x=-3/(x(x-3))	$\frac{4 (x - 2)}{x - 3} + \frac{3}{x} = \frac{- 3}{x (x - 3)}$
39668	Solve by Factoring	3/(x^2+5x+6)+(x-1)/(x+2)=7/(x+3)	$\frac{3}{x^{2} + 5 x + 6} + \frac{x - 1}{x + 2} = \frac{7}{x + 3}$
39669	Reduce	((x-1)^2)/((1-x)^2)	$\frac{{(x - 1)}^{2}}{{(1 - x)}^{2}}$
39670	Solve by Factoring	2/(7x)+1/4=53/(14x)-1/3	$\frac{2}{7 x} + \frac{1}{4} = \frac{53}{14 x} - \frac{1}{3}$
39671	Solve by Factoring	(2x)/(x-2)=7+(6x^2)/(x-2)	$\frac{2 x}{x - 2} = 7 + \frac{6 x^{2}}{x - 2}$
39672	Reduce	(2x^2-x-3)/(4x^2-9)	$\frac{2 x^{2} - x - 3}{4 x^{2} - 9}$
39673	Solve by Factoring	(2x+4)/2-(3x)/(x-4)=x	$\frac{2 x + 4}{2} - \frac{3 x}{x - 4} = x$
39674	Reduce	((n+1)!)/(n!)	$\frac{(n + 1)!}{n!}$
39675	Reduce	(-36x^4y^4z^5)/(-12x^6y^3z)	$\frac{- 36 x^{4} y^{4} z^{5}}{- 12 x^{6} y^{3} z}$
39676	Solve by Factoring	x^3-7x^2+10x=0	$x^{3} - 7 x^{2} + 10 x = 0$
39677	Reduce	(32a3/7)÷(40a2/5)	$(32 a \frac{3}{7}) \div (40 a \frac{2}{5})$
39678	Solve by Factoring	x^3-6x^2+8x=0	$x^{3} - 6 x^{2} + 8 x = 0$
39679	Reduce	(3x)/(1-3x)	$\frac{3 x}{1 - 3 x}$
39680	Solve by Factoring	x^4-9x^2+14=0	$x^{4} - 9 x^{2} + 14 = 0$
39681	Solve by Factoring	x^4-2x^2-8=0	$x^{4} - 2 x^{2} - 8 = 0$
39682	Reduce	(3yx+y^2)/(5y^2+4y)	$\frac{3 y x + y^{2}}{5 y^{2} + 4 y}$
39683	Solve by Factoring	x^4-17x^2=-16	$x^{4} - 17 x^{2} = - 16$
39684	Solve by Factoring	x^4-19x^2+48=0	$x^{4} - 19 x^{2} + 48 = 0$
39685	Solve by Factoring	x^4-3x^2-10=0	$x^{4} - 3 x^{2} - 10 = 0$
39686	Reduce	(sin(y)^2)/(1-cos(y))	$\frac{\sin^{2} (y)}{1 - \cos (y)}$
39687	Reduce	((k+5)/(k^2+3k-10))÷((7k+14)/(4-k^2))	$\frac{k + 5}{k^{2} + 3 k - 10} \div \frac{7 k + 14}{4 - k^{2}}$
39688	Reduce	(m/n*n/p)÷(p/q)	$\frac{m}{n} \cdot \frac{n}{p} \div \frac{p}{q}$
39689	Solve by Factoring	(x-2)/(x-6)=(x+5)/(x-4)	$\frac{x - 2}{x - 6} = \frac{x + 5}{x - 4}$
39690	Reduce	(f(7)-f(3))/4	$\frac{f (7) - f (3)}{4}$
39691	Solve by Factoring	1+1/x=6/(x^2)	$1 + \frac{1}{x} = \frac{6}{x^{2}}$
39692	Reduce	(x^3-3x)/(x^2-3x)	$\frac{x^{3} - 3 x}{x^{2} - 3 x}$
39693	Solve by Factoring	10x^3-640x=0	$10 x^{3} - 640 x = 0$
39694	Reduce	y/(y^2-3y)	$\frac{y}{y^{2} - 3 y}$
39695	Solve by Factoring	z^4-50z^2+49=0	$z^{4} - 50 z^{2} + 49 = 0$
39696	Solve by Factoring	z^2+5z=-6	$z^{2} + 5 z = - 6$
39697	Solve by Factoring	z^2+3z=-2	$z^{2} + 3 z = - 2$
39698	Determine if Rational	-9/5	$\frac{- 9}{5}$
39699	Solve by Factoring	16x(x-2)=8x-25	$16 x (x - 2) = 8 x - 25$
39700	Determine if Rational	5462.263	$5462.263$