Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
27101	Solve for x	x^2-12x+k=5	$x^{2} - 12 x + k = 5$
27102	Solve for x	x^2-5x+9=0	$x^{2} - 5 x + 9 = 0$
27103	Solve for x	x^2-6x=29	$x^{2} - 6 x = 29$
27104	Solve for x	x^2-7x-3/4=0	$x^{2} - 7 x - \frac{3}{4} = 0$
27105	Solve for x	x^2-9x+20=(x-5)	$x^{2} - 9 x + 20 = (x - 5)$
27106	Solve for x	x^2-9x+9=0	$x^{2} - 9 x + 9 = 0$
27107	Solve for x	x^2-px+4=0	$x^{2} - p x + 4 = 0$
27108	Solve for x	x^3+2x^2-3x-6=0	$x^{3} + 2 x^{2} - 3 x - 6 = 0$
27109	Solve for x	x^3+4x^2-5x-20=0	$x^{3} + 4 x^{2} - 5 x - 20 = 0$
27110	Solve for x	x^3-4x^2-7x+10=0	$x^{3} - 4 x^{2} - 7 x + 10 = 0$
27111	Solve for x	x^4-2y^2+1=0	$x^{4} - 2 y^{2} + 1 = 0$
27112	Solve for x	x^6=100	$x^{6} = 100$
27113	Solve for x	x^6-81x^2=0	$x^{6} - 81 x^{2} = 0$
27114	Solve for x	(x+2)/(2x+1)=x/3+3/(4x+2)	$\frac{x + 2}{2 x + 1} = \frac{x}{3} + \frac{3}{4 x + 2}$
27115	Solve for x	y/3+y/7=10	$\frac{y}{3} + \frac{y}{7} = 10$
27116	Solve for x	y^2+2y-63=0	$y^{2} + 2 y - 63 = 0$
27117	Solve for x	y^2=x+81	$y^{2} = x + 81$
27118	Solve for x	y^2-5y=-6	$y^{2} - 5 y = - 6$
27119	Solve for x	y^2-8x=0	$y^{2} - 8 x = 0$
27120	Solve for x	f=(9/5*(20c))+35	$f = (\frac{9}{5} \cdot (20 c)) + 35$
27121	Solve for x	0=1-2sin(-3x+pi/6)	$0 = 1 - 2 \sin (- 3 x + \frac{π}{6})$
27122	Solve for x	0=4600(0.7)^x-2100	$0 = 4600 {(0.7)}^{x} - 2100$
27123	Solve for x	1-cot(x)^2=0	$1 - \cot^{2} (x) = 0$
27124	Solve for x	1+1/2*sin(2x)=(sin(x)^3-cos(x)^3)/(sin(x)cos(x))	$1 + \frac{1}{2} \cdot \sin (2 x) = \frac{\sin^{3} (x) - \cos^{3} (x)}{\sin (x) \cos (x)}$
27125	Solve for x	10(1-cos(x))=sin(x)^2	$10 (1 - \cos (x)) = \sin^{2} (x)$
27126	Solve for x	10.5=25	$10.5 = 25$
27127	Solve for x	10cos(x)^2+9cos(x)+2=0	$10 \cos^{2} (x) + 9 \cos (x) + 2 = 0$
27128	Solve for x	100=P*e^0.08	$100 = P \cdot e^{0.08}$
27129	Solve for x	(1000(1/2)t)/28=30	$\frac{1000 (\frac{1}{2}) t}{28} = 30$
27130	Solve for x	105=60+45	$105 = 60 + 45$
27131	Solve for x	10x=8.07	$10 x = 8.07$
27132	Solve for x	112=10x	$112 = 10 x$
27133	Solve for x	116=3x+6+2x-5	$116 = 3 x + 6 + 2 x - 5$
27134	Solve for x	11sin(x)cos(x)^2=11sin(x)	$11 \sin (x) \cos^{2} (x) = 11 \sin (x)$
27135	Solve for x	12sin(x-9)^2=0	$12 \sin^{2} (x - 9) = 0$
27136	Solve for x	12arctan(x)=2pi	$12 \arctan (x) = 2 π$
27137	Solve for x	12y^2-8y=4y	$12 y^{2} - 8 y = 4 y$
27138	Solve for x	13csc(x)^2+4cos(x)-8=0	$13 \csc^{2} (x) + 4 \cos (x) - 8 = 0$
27139	Solve for x	14 = square root of x^2+1^2	$14 = \sqrt{x^{2} + 1^{2}}$
27140	Solve for x	15sin(x)^2=sin(x)	$15 \sin^{2} (x) = \sin (x)$
27141	Solve for x	log base 8 of 5x- log base 8 of 13+ square root of x=2	$\log_{8} (5 x) - \log_{8} (13 + \sqrt{x}) = 2$
27142	Solve for x	log base 9 of 6+ log base 9 of -x = log base 9 of 65	$\log_{9} (6) + \log_{9} (- x) = \log_{9} (65)$
27143	Solve for x	log base 9 of x=1/2* log base 9 of 144-1/3* log base 9 of 8	$\log_{9} (x) = \frac{1}{2} \cdot \log_{9} (144) - \frac{1}{3} \cdot \log_{9} (8)$
27144	Solve for x	log base 9 of x+5- log base 9 of x-5=-1	$\log_{9} (x + 5) - \log_{9} (x - 5) = - 1$
27145	Solve for x	log base a of 25=x	$\log_{a} (25) = x$
27146	Solve for x	log base a of 3=5	$\log_{a} (3) = 5$
27147	Solve for x	log base b of 35=3	$\log_{b} (35) = 3$
27148	Solve for x	log base b of x=y	$\log_{b} (x) = y$
27149	Solve for x	log base x of 8/27=3	$\log_{x} (\frac{8}{27}) = 3$
27150	Solve for x	x=-194	$x = - 194$
27151	Solve for x	x=208	$x = 208$
27152	Solve for x	x=210	$x = 210$
27153	Solve for x	x=210sin(-1/2)	$x = 210 \sin (- \frac{1}{2})$
27154	Solve for x	x=225	$x = 225$
27155	Solve for x	x=126	$x = 126$
27156	Solve for x	x=131	$x = 131$
27157	Solve for x	x=2arctan(21.634/x)	$x = 2 \arctan (\frac{21.634}{x})$
27158	Solve for x	x=3.9	$x = 3.9$
27159	Solve for x	x=300	$x = 300$
27160	Solve for x	x=330	$x = 330$
27161	Solve for x	x=36*pi/180	$x = 36 \cdot \frac{π}{180}$
27162	Solve for x	x=405	$x = 405$
27163	Solve for x	x=425	$x = 425$
27164	Solve for x	x=43	$x = 43$
27165	Solve for x	x=45	$x = 45$
27166	Solve for x	x=540	$x = 540$
27167	Solve for x	x=60	$x = 60$
27168	Solve for x	x=660	$x = 660$
27169	Solve for x	x=(8pi)/5	$x = \frac{8 π}{5}$
27170	Solve for x	x^2=100+144-21012*cos(23)	$x^{2} = 100 + 144 - 2 \cdot 10 \cdot 12 \cdot \cos (23)$
27171	Solve for x	x^2+16x+44=0	$x^{2} + 16 x + 44 = 0$
27172	Solve for x	x^2+2x+1=17	$x^{2} + 2 x + 1 = 17$
27173	Solve for x	x^2+3x-9=0	$x^{2} + 3 x - 9 = 0$
27174	Solve for x	x^2+64=(8 square root of 2)	$x^{2} + 64 = (8 \sqrt{2})$
27175	Solve for x	x^2+7x-30=0	$x^{2} + 7 x - 30 = 0$
27176	Solve for x	sin(x)^2+(2/5)^2=1	$\sin^{2} (x) + {(\frac{2}{5})}^{2} = 1$
27177	Solve for x	sin(x)^2=9(cos(-x)+1)	$\sin^{2} (x) = 9 (\cos (- x) + 1)$
27178	Solve for x	sin(6/7)^2+cos(x)^2=1	$\sin^{2} (\frac{6}{7}) + \cos^{2} (x) = 1$
27179	Solve for x	sin(x/2)^2=sin(x)^2	$\sin^{2} (\frac{x}{2}) = \sin^{2} (x)$
27180	Solve for x	sin(2x)^2-2sin(2x)=-1	$\sin^{2} (2 x) - 2 \sin (2 x) = - 1$
27181	Solve for x	sin(A)^2-cos(A)^2=2cos(A)^2tan(A)^2-1	$\sin^{2} (A) - \cos^{2} (A) = 2 \cos^{2} (A) \tan^{2} (A) - 1$
27182	Solve for x	-x^2+10x-9=0	$- x^{2} + 10 x - 9 = 0$
27183	Solve for x	sin(x)^2csc(x)^2-sin(x)^2=cos(x)^2	$\sin^{2} (x) \csc^{2} (x) - \sin^{2} (x) = \cos^{2} (x)$
27184	Solve for x	sin(x)^2+cos(2x)-cos(x)=0	$\sin^{2} (x) + \cos (2 x) - \cos (x) = 0$
27185	Solve for x	log base x of 32=2	$\log_{x} (32) = 2$
27186	Solve for x	log base x of 35=3	$\log_{x} (35) = 3$
27187	Solve for x	log base x of 4+ log base x of 9=2	$\log_{x} (4) + \log_{x} (9) = 2$
27188	Solve for x	n/124=tan(42.2)	$\frac{n}{124} = \tan (42.2)$
27189	Solve for x	n^2+10=14	$n^{2} + 10 = 14$
27190	Solve for x	n^2-4n-5=0	$n^{2} - 4 n - 5 = 0$
27191	Solve for x	p^2=-2p	$p^{2} = - 2 p$
27192	Solve for x	(p-3)/4=4/(p+3)	$\frac{p - 3}{4} = \frac{4}{p + 3}$
27193	Solve for x	(pi-3)/5+pi/3=(pi+1)/3	$\frac{π - 3}{5} + \frac{π}{3} = \frac{π + 1}{3}$
27194	Solve for x	pr^2-2pr-48p=0	$p r^{2} - 2 p r - 48 p = 0$
27195	Evaluate	tan((7pi)/2)	$\tan (\frac{7 π}{2})$
27196	Solve for x	(sec(B))/(tan(B)+cot(B))=sin(B)	$\frac{\sec (B)}{\tan (B) + \cot (B)} = \sin (B)$
27197	Solve for x	(sec(t)tan(t))/(tan(t)^2(t))=csc(t)	$\frac{\sec (t) \tan (t)}{\tan^{2} (t) (t)} = \csc (t)$
27198	Solve for x	sec(x)^2+cos(x)^2=0	$\sec^{2} (x) + \cos^{2} (x) = 0$
27199	Solve for x	sec(x)^2+4tan(x)^2=1	$\sec^{2} (x) + 4 \tan^{2} (x) = 1$
27200	Solve for x	sec(x)^4-sec(x)^2=tan(x)^4+tan(x)^2	$\sec^{4} (x) - \sec^{2} (x) = \tan^{4} (x) + \tan^{2} (x)$