Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
46501	Write in Standard Form	36x^2+9y^2+48x-36y+43=0	$36 x^{2} + 9 y^{2} + 48 x - 36 y + 43 = 0$
46502	Write in Standard Form	36x^2+9y^2-144x-18y+9=0	$36 x^{2} + 9 y^{2} - 144 x - 18 y + 9 = 0$
46503	Expand the Trigonometric Expression	tan(x)(cot(x)-csc(x))	$\tan (x (\cot (x) - \csc (x)))$
46504	Expand the Trigonometric Expression	sin(a+b)sin(a-b)	$\sin (a + b) \sin (a - b)$
46505	Expand the Trigonometric Expression	sin(arcsin(u)-arctan(v))	$\sin (\arcsin (u) - \arctan (v))$
46506	Expand the Trigonometric Expression	sin(x+pi/2)	$\sin (x + \frac{π}{2})$
46507	Expand the Trigonometric Expression	sin(4theta)	$\sin (4 θ)$
46508	Expand the Trigonometric Expression	2tan(A)cos(B)	$2 \tan (A) \cos (B)$
46509	Expand the Trigonometric Expression	2cos(theta)^2-1	$2 \cos^{2} (θ) - 1$
46510	Expand the Trigonometric Expression	sec(arcsin(x))	$\sec (\arcsin (x))$
46511	Expand the Trigonometric Expression	csc(x)^2-1	$\csc^{2} (x) - 1$
46512	Expand the Trigonometric Expression	sin(pi+theta)	$\sin (π + θ)$
46513	Expand the Trigonometric Expression	sin(theta+2pi)	$\sin (θ + 2 π)$
46514	Expand the Trigonometric Expression	sin(2pi-y)	$\sin (2 π - y)$
46515	Expand the Trigonometric Expression	1+cos(x)	$1 + \cos (x)$
46516	Expand the Trigonometric Expression	cos(270 degrees -theta)	$\cos (270 ° - θ)$
46517	Expand the Trigonometric Expression	cos(pi/2+theta)	$\cos (\frac{π}{2} + θ)$
46518	Expand the Trigonometric Expression	(sin(x+y))/(sin(x-y))=	$\frac{\sin (x + y)}{\sin (x - y)} =$
46519	Expand the Trigonometric Expression	(s-5v)^5	${(s - 5 v)}^{5}$
46520	Expand the Trigonometric Expression	(sin(3x))^4	$\sin^{4} (3 x)$
46521	Convert to a Simplified Fraction	square root of 44	$\sqrt{44}$
46522	Solve Using a Matrix by Elimination	3x-7-7z=76x+4y-3z=67-6x-3y+z=-62	$3 x - 7 - 7 z = 76 x + 4 y - 3 z = 67 - 6 x - 3 y + z = - 62$
46523	Find the Complement	pi/14	$\frac{π}{14}$
46524	Find the Complement	-131 degrees	$- 131 °$
46525	Convert to a Simplified Fraction	square root of 200	$\sqrt{200}$
46526	Convert to a Simplified Fraction	square root of 225	$\sqrt{225}$
46527	Convert to a Simplified Fraction	square root of 25	$\sqrt{25}$
46528	Write in Standard Form	29/(1-i)	$\frac{29}{1 - i}$
46529	Write in Standard Form	8+14i	$8 + 14 i$
46530	Write in Standard Form	2 square root of 2-2i square root of 2	$2 \sqrt{2} - 2 i \sqrt{2}$
46531	Write in Standard Form	-3+2i	$- 3 + 2 i$
46532	Write in Standard Form	3-4i	$3 - 4 i$
46533	Write in Standard Form	4+4 square root of 3i	$4 + 4 \sqrt{3 i}$
46534	Write in Standard Form	(0,3)	$(0, 3)$
46535	Write in Standard Form	(1+i)(4-3i)	$(1 + i) (4 - 3 i)$
46536	Convert to Regular Notation	-1.19*10^8	$- 1.19 \cdot 10^{8}$
46537	Convert to Regular Notation	1.30*10^9	$1.3 \cdot 10^{9}$
46538	Apply the Quadratic Formula	3x^2-6x+5	$3 x^{2} - 6 x + 5$
46539	Apply the Quadratic Formula	x^2-4x+16	$x^{2} - 4 x + 16$
46540	Apply the Quadratic Formula	x^2-4x+29	$x^{2} - 4 x + 29$
46541	Solve by Factoring	csc(x)^3-csc(x)cot(x)^2	$\csc^{3} (x) - \csc (x) \cot^{2} (x)$
46542	Solve by Factoring	x(x-1)=30	$x (x - 1) = 30$
46543	Use the Rational Roots Test to Find All Possible Roots	2x^3-4x^2-34x+68	$2 x^{3} - 4 x^{2} - 34 x + 68$
46544	Find the Remainder	(2x^3-7x^2+4x-5)/(x-3)	$\frac{2 x^{3} - 7 x^{2} + 4 x - 5}{x - 3}$
46545	Find the Remainder	(2x^4-5x^3+7x^2-3x+1)/(x-3)	$\frac{2 x^{4} - 5 x^{3} + 7 x^{2} - 3 x + 1}{x - 3}$
46546	Find the Remainder	(3x^3-2x^2+x-5)/(x+2)	$\frac{3 x^{3} - 2 x^{2} + x - 5}{x + 2}$
46547	Find the Roots (Zeros)	y=x^3-4x^2-11x+30	$y = x^{3} - 4 x^{2} - 11 x + 30$
46548	Find the Roots (Zeros)	y=x^3-4x^2-17x+60	$y = x^{3} - 4 x^{2} - 17 x + 60$
46549	Find the Roots (Zeros)	y=x^5-5x^3+4x	$y = x^{5} - 5 x^{3} + 4 x$
46550	Find the Roots (Zeros)	x^6-9x^4+24x^2-16=0	$x^{6} - 9 x^{4} + 24 x^{2} - 16 = 0$
46551	Find the Roots (Zeros)	y=2x^4-x^3+49x^2-25x-25	$y = 2 x^{4} - x^{3} + 49 x^{2} - 25 x - 25$
46552	Find the Roots (Zeros)	y=3x^4-7x^3-31x^2+167x-52	$y = 3 x^{4} - 7 x^{3} - 31 x^{2} + 167 x - 52$
46553	Find the Roots (Zeros)	y=x^2-6x-4	$y = x^{2} - 6 x - 4$
46554	Find the Roots (Zeros)	x^4-2x^2-3=0	$x^{4} - 2 x^{2} - 3 = 0$
46555	Find the Roots (Zeros)	x^4-4=0	$x^{4} - 4 = 0$
46556	Find the Roots (Zeros)	x^3+9x^2+23x+15=0	$x^{3} + 9 x^{2} + 23 x + 15 = 0$
46557	Find the Roots (Zeros)	x^2+cx+5=0	$x^{2} + c x + 5 = 0$
46558	Find the Roots (Zeros)	x^2-8x-20=0	$x^{2} - 8 x - 20 = 0$
46559	Find the Roots (Zeros)	x^3+10x^2-5x-42=0	$x^{3} + 10 x^{2} - 5 x - 42 = 0$
46560	Find the Roots (Zeros)	x^3+3x^2-4x-12=0	$x^{3} + 3 x^{2} - 4 x - 12 = 0$
46561	Find the Roots (Zeros)	x^2(x+1)=4(2x+3)	$x^{2} (x + 1) = 4 (2 x + 3)$
46562	Find the Roots (Zeros)	x^2+2x-63=0	$x^{2} + 2 x - 63 = 0$
46563	Find the Roots (Zeros)	x^2+3x-10=0	$x^{2} + 3 x - 10 = 0$
46564	Find the Roots (Zeros)	4x^2+13x+6=0	$4 x^{2} + 13 x + 6 = 0$
46565	Find the Roots (Zeros)	5x^3+5x^2-10x=0	$5 x^{3} + 5 x^{2} - 10 x = 0$
46566	Find the Roots (Zeros)	5x^3+x^2+7x-28=0	$5 x^{3} + x^{2} + 7 x - 28 = 0$
46567	Find the Remainder	(x^4+3x^3+x^2-3x+3)/(x+2)	$\frac{x^{4} + 3 x^{3} + x^{2} - 3 x + 3}{x + 2}$
46568	Find the Remainder	(4x^3-8x^2+2x-1)/(2x+1)	$\frac{4 x^{3} - 8 x^{2} + 2 x - 1}{2 x + 1}$
46569	Find the Roots (Zeros)	2x^2+5x-7=0	$2 x^{2} + 5 x - 7 = 0$
46570	Find the Roots (Zeros)	(x-2)^(2/3)=9	${(x - 2)}^{\frac{2}{3}} = 9$
46571	Find the Roots (Zeros)	3x^3+x=2x^2+1	$3 x^{3} + x = 2 x^{2} + 1$
46572	Find the Roots (Zeros)	2x^3+3x^2-8x+3=0	$2 x^{3} + 3 x^{2} - 8 x + 3 = 0$
46573	Identify the Progression	11 , 22 , 44 , 88	$11$ , $22$ , $44$ , $88$
46574	Find the Domain	e^(x^2)-1	$e^{x^{2}} - 1$
46575	Find the Domain	log base 3 of x^2-9	$\log_{3} (x^{2} - 9)$
46576	Find the Domain	5x+3	$5 x + 3$
46577	Find the Domain	\|x^2-9\|+3	$\| x^{2} - 9 \| + 3$
46578	Find the Domain	square root of x+3	$\sqrt{x} + 3$
46579	Find the Domain	square root of 2x-14	$\sqrt{2 x - 14}$
46580	Find the Domain	square root of 2x-7	$\sqrt{2 x - 7}$
46581	Find the Domain	fourth root of 2x-6	$\sqrt[4]{2 x - 6}$
46582	Find the Domain	square root of (3x+1)-4	$\sqrt{(3 x + 1) - 4}$
46583	Find the Domain	square root of 4+x	$\sqrt{4 + x}$
46584	Find the Domain	(x^2+4)^2+4	${(x^{2} + 4)}^{2} + 4$
46585	Find the Domain	(x^2)/(x-4)	$\frac{x^{2}}{x - 4}$
46586	Find the Domain	(x^2)/(1-x^2)	$\frac{x^{2}}{1 - x^{2}}$
46587	Find the Domain	(x^2)/(x^2+x-30)	$\frac{x^{2}}{x^{2} + x - 30}$
46588	Find the Domain	(x-3)/2	$\frac{x - 3}{2}$
46589	Find the Domain	(x+1)/(x^2-8)	$\frac{x + 1}{x^{2} - 8}$
46590	Find the Domain	natural log of 20-x-x^2	$\ln (20 - x - x^{2})$
46591	Find the Domain	log of x-5	$\log (x - 5)$
46592	Find the Domain	log base 2 of 5-3x	$\log_{2} (5 - 3 x)$
46593	Find the Domain	( square root of x^2-16)/((x^2)/(x^2+1))	$\frac{(\sqrt{x^{2} - 16})}{(\frac{x^{2}}{x^{2} + 1})}$
46594	Find the Domain	(f/g)(x)	$(\frac{f}{g}) (x)$
46595	Find the Domain	((x-5)(x+2))/((3x^2-13x-10)(x+2))	$\frac{(x - 5) (x + 2)}{(3 x^{2} - 13 x - 10) (x + 2)}$
46596	Find the Domain	2/(2/x)	$\frac{2}{(\frac{2}{x})}$
46597	Find the Domain	(4x^2)/((x-2)(x+9))	$\frac{4 x^{2}}{(x - 2) (x + 9)}$
46598	Find the Domain	x/(x^3+125)	$\frac{x}{x^{3} + 125}$
46599	Find the Domain	( square root of x+4)/(x^2)	$\frac{\sqrt{x + 4}}{x^{2}}$
46600	Find the Domain	(2x)/(x(x^2-25))	$\frac{2 x}{x (x^{2} - 25)}$