Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
29501	Solve by Graphing	1/m=m-34/(2m^2)	$\frac{1}{m} = m - \frac{34}{2 m^{2}}$
29502	Solve by Graphing	1/(sec(x)-tan(x))=(1+sin(x))/(cos(x))	$\frac{1}{\sec (x) - \tan (x)} = \frac{1 + \sin (x)}{\cos (x)}$
29503	Solve by Graphing	1/x+1/(x+2)=9/40	$\frac{1}{x} + \frac{1}{x + 2} = \frac{9}{40}$
29504	Solve by Graphing	(1+cot(x))/(1-cot(x))-(1-cot(x))/(1+cot(x))=4cot(x)csc(x)	$\frac{1 + \cot (x)}{1 - \cot (x)} - \frac{1 - \cot (x)}{1 + \cot (x)} = 4 \cot (x) \csc (x)$
29505	Solve by Graphing	(1+csc(a))/(cot(a)+cos(a))=sec(a)	$\frac{1 + \csc (a)}{\cot (a) + \cos (a)} = \sec (a)$
29506	Solve by Graphing	(1+sin(theta))/(tan(theta))=cos(theta)+cot(theta)	$\frac{1 + \sin (θ)}{\tan (θ)} = \cos (θ) + \cot (θ)$
29507	Solve by Graphing	(1+tan(x))/(1-tan(x))+(1+cot(x))/(1-cot(x))=0	$\frac{1 + \tan (x)}{1 - \tan (x)} + \frac{1 + \cot (x)}{1 - \cot (x)} = 0$
29508	Solve by Graphing	10^(2t-3)=7	$10^{2 t - 3} = 7$
29509	Solve by Graphing	10^x=1000	$10^{x} = 1000$
29510	Solve by Graphing	10^x=4.25	$10^{x} = 4.25$
29511	Solve by Graphing	11/(sin(57))=19/(sin(B))	$\frac{11}{\sin (57)} = \frac{19}{\sin (B)}$
29512	Solve by Graphing	11^2+x^2=13^2	$11^{2} + x^{2} = 13^{2}$
29513	Solve by Graphing	12/(sin(90))=14/(sin(x))	$\frac{12}{\sin (90)} = \frac{14}{\sin (x)}$
29514	Solve by Graphing	15^2+x^2=17^2	$15^{2} + x^{2} = 17^{2}$
29515	Solve by Graphing	17/7=x/11	$\frac{17}{7} = \frac{x}{11}$
29516	Solve by Graphing	1x^2-12+36=54	$1 x^{2} - 12 + 36 = 54$
29517	Solve by Graphing	(2cos(x)^2-2cos(x)cos(2x)-1)/( square root of sin(x))=0	$\frac{2 \cos^{2} (x) - 2 \cos (x) \cos (2 x) - 1}{\sqrt{\sin (x)}} = 0$
29518	Solve by Graphing	2/(3m+1)+4/(3m-1)=(6m+8)/(9m^2-1)	$\frac{2}{3 m + 1} + \frac{4}{3 m - 1} = \frac{6 m + 8}{9 m^{2} - 1}$
29519	Solve by Graphing	2^(x-3)=1/16	$2^{y - 3} = \frac{1}{16}$
29520	Solve by Graphing	2^(2/( log base 2 of x))=1/16	$2^{\frac{2}{\log_{2} (x)}} = \frac{1}{16}$
29521	Solve by Graphing	2^(-125x)=0.5^(x-5)	$2^{- 125 x} = {0.5}^{x - 5}$
29522	Solve by Graphing	2^c=8	$2^{c} = 8$
29523	Solve by Graphing	2^x=25	$2^{x} = 25$
29524	Solve by Graphing	2^x=3	$2^{y} = 3$
29525	Solve by Graphing	20/30=45	$\frac{20}{30} = 45$
29526	Solve by Graphing	25^x+7=125^x-7	$25^{x} + 7 = 125^{x} - 7$
29527	Solve by Graphing	27^x=81	$27^{x} = 81$
29528	Solve by Graphing	28/(sin(60))=39/(sin(A))	$\frac{28}{\sin (60)} = \frac{39}{\sin (A)}$
29529	Solve by Graphing	2x^2=9x+56	$2 x^{2} = 9 x + 56$
29530	Solve by Graphing	(2x-1)/3-3/4-(6x+1)/12=-2/3	$\frac{2 x - 1}{3} - \frac{3}{4} - \frac{6 x + 1}{12} = - \frac{2}{3}$
29531	Solve by Graphing	3/2+1/5=1/x	$\frac{3}{2} + \frac{1}{5} = \frac{1}{x}$
29532	Solve by Graphing	3/x+2=5/(4x)+17/8	$\frac{3}{x} + 2 = \frac{5}{4 x} + \frac{17}{8}$
29533	Solve by Graphing	3/(x-1)+2/x=8	$\frac{3}{x - 1} + \frac{2}{x} = 8$
29534	Solve by Graphing	3^(5x)=2.9	$3^{5 x} = 2.9$
29535	Solve by Graphing	3^x=1/81	$3^{x} = \frac{1}{81}$
29536	Solve by Graphing	3^x=38	$3^{x} = 38$
29537	Solve by Graphing	(3+3sin(x))/(cos(x))+(3cos(x))/(1+sin(x))-12=0	$\frac{3 + 3 \sin (x)}{\cos (x)} + \frac{3 \cos (x)}{1 + \sin (x)} - 12 = 0$
29538	Solve by Graphing	30/(x^2-9)+1=5/(x-3)	$\frac{30}{x^{2} - 9} + 1 = \frac{5}{x - 3}$
29539	Solve by Graphing	30/(x^(2-9))+1=5/(x-3)	$\frac{30}{x^{2 - 9}} + 1 = \frac{5}{x - 3}$
29540	Solve by Graphing	(3x)/(x+3)=7-9/(x+3)	$\frac{3 x}{x + 3} = 7 - \frac{9}{x + 3}$
29541	Solve by Graphing	4/n=7/10	$\frac{4}{n} = \frac{7}{10}$
29542	Solve by Graphing	4^(3x+2)=3^(2x-5)	$4^{3 x + 2} = 3^{2 x - 5}$
29543	Solve by Graphing	4^(4x+6)=16	$4^{4 x + 6} = 16$
29544	Solve by Graphing	4^x-3*2^x+2=0	$4^{x} - 3 \cdot 2^{x} + 2 = 0$
29545	Solve by Graphing	42/(sin(42))=x/(sin(x))=41.5/(sin(41.5))	$\frac{42}{\sin (42)} = \frac{x}{\sin (x)} = \frac{41.5}{\sin (41.5)}$
29546	Solve by Graphing	4800/x(x(x-200))+4800/(x-200)(x(x-200))=2x(x-200)	$\frac{4800}{x} \cdot (x (x - 200)) + \frac{4800}{x - 200} \cdot (x (x - 200)) = 2 x (x - 200)$
29547	Solve by Graphing	4x^2-8x+3=0	$4 x^{2} - 8 x + 3 = 0$
29548	Solve by Graphing	5.6^x-4.8^x-210=0	${5.6}^{x} - {4.8}^{x} - 210 = 0$
29549	Solve by Graphing	5^x+7=50-3*5^x	$5^{x} + 7 = 50 - 3 \cdot 5^{x}$
29550	Solve by Graphing	5^x=1/625	$5^{x} = \frac{1}{625}$
29551	Solve by Graphing	6.2^2=6.7^2+6.1^2-26.76.1*cos(x)	${6.2}^{2} = {6.7}^{2} + {6.1}^{2} - 2 \cdot 6.7 \cdot 6.1 \cdot \cos (x)$
29552	Solve by Graphing	6/14=x/12	$\frac{6}{14} = \frac{x}{12}$
29553	Solve by Graphing	6/7+1/4=1/x	$\frac{6}{7} + \frac{1}{4} = \frac{1}{x}$
29554	Solve by Graphing	x=150	$x = 150$
29555	Solve by Graphing	x=270	$x = 270$
29556	Solve by Graphing	x=45	$x = 45$
29557	Solve by Graphing	x=4cos(x)	$x = 4 \cos (x)$
29558	Solve by Graphing	x=700	$x = 700$
29559	Solve by Graphing	x=-800	$x = - 800$
29560	Solve by Graphing	x=-95	$x = - 95$
29561	Solve by Graphing	x=arcsin( square root of (32^2)/(2(32^2)+64(7)))	$x = \arcsin (\sqrt{\frac{32^{2}}{2 (32^{2}) + 64 (7)}})$
29562	Solve by Graphing	( square root of 5-x)+1=x-2	$(\sqrt{5 - x}) + 1 = x - 2$
29563	Solve by Graphing	(1/3)^(-x)=(1/9)^(x+1)	${(\frac{1}{3})}^{- x} = {(\frac{1}{9})}^{x + 1}$
29564	Solve by Graphing	(16/9)^(x+1)=(3/4)^(x-1)	${(\frac{16}{9})}^{x + 1} = {(\frac{3}{4})}^{x - 1}$
29565	Solve by Graphing	(x^3+19)^(1/3)=x+1	${(x^{3} + 19)}^{\frac{1}{3}} = x + 1$
29566	Solve by Graphing	(250009.8+0.8sin(x))/(cos(x))sin(x)+0.8cos(x)=237369.4231	$\frac{25000 \cdot 9.8 + 0.8 \sin (x)}{\cos (x)} \cdot \sin (x) + 0.8 \cos (x) = 237369.4231$
29567	Solve by Graphing	(3x+6)^2=18	${(3 x + 6)}^{2} = 18$
29568	Solve by Graphing	(5x-1600)^2=(100* square root of x)	${(5 x - 1600)}^{2} = (100 \cdot \sqrt{x})$
29569	Solve by Graphing	sec(t)^2=4/3	$\sec^{2} (t) = \frac{4}{3}$
29570	Solve by Graphing	(sin(x)+cos(x))^2=1+sin(2x)	${(\sin (x) + \cos (x))}^{2} = 1 + \sin (2 x)$
29571	Solve by Graphing	(sin(a)-cos(a))^2=1-2sin(a)cos(a)	${(\sin (a) - \cos (a))}^{2} = 1 - 2 \sin (a) \cos (a)$
29572	Solve by Graphing	sin(t)^2=1/4	$\sin^{2} (t) = \frac{1}{4}$
29573	Solve by Graphing	(sin(x))/30=(sin(87))/38	$\frac{\sin (x)}{30} = \frac{\sin (87)}{38}$
29574	Solve by Graphing	sin(x)^2+7cos(x)+7=0	$\sin^{2} (x) + 7 \cos (x) + 7 = 0$
29575	Solve by Graphing	-sin(x)^2=3cos(2x)	$- \sin^{2} (x) = 3 \cos (2 x)$
29576	Solve by Graphing	(x+3)^2-3(x+3)-70=0	${(x + 3)}^{2} - 3 (x + 3) - 70 = 0$
29577	Solve by Graphing	(x+8)^2+(x-8)^2=104	${(x + 8)}^{2} + {(x - 8)}^{2} = 104$
29578	Solve by Graphing	(x-3)^2+(4-5)^2=226	${(x - 3)}^{2} + {(4 - 5)}^{2} = 226$
29579	Solve by Graphing	(x-4)^(2/3)=9	${(x - 4)}^{\frac{2}{3}} = 9$
29580	Solve by Graphing	(x-7)^2(x)^2=(x+1)^2	${(x - 7)}^{2} {(x)}^{2} = {(x + 1)}^{2}$
29581	Solve by Graphing	((x-2)^2)/16+((x+3)^2)/9=1	$\frac{{(y - 2)}^{2}}{16} + \frac{{(y + 3)}^{2}}{9} = 1$
29582	Solve by Graphing	\|v\|^2=48^2+60^2-24860cos(130)
29583	Solve by Graphing	4/(3^x)+2/7=9/7	$\frac{4}{3^{x}} + \frac{2}{7} = \frac{9}{7}$
29584	Solve by Graphing	( log base 6 of 5x)/5=2/5	$\frac{\log_{6} (5 x)}{5} = \frac{2}{5}$
29585	Solve by Graphing	sec(x)^2(x)+0.5tan(x)-1=0	$\sec^{2} (x) (x) + 0.5 \tan (x) - 1 = 0$
29586	Solve by Graphing	-( square root of 3)/2=cos(x)	$- \frac{\sqrt{3}}{2} = \cos (x)$
29587	Solve by Graphing	-( square root of 3)/3*(sin(x)sec(x))=1	$- \frac{\sqrt{3}}{3} \cdot (\sin (x) \sec (x)) = 1$
29588	Solve by Graphing	(x^2-2x-1)/(x+1)=x(x)	$\frac{x^{2} - 2 x - 1}{x + 1} = f (x)$
29589	Solve by Graphing	\|arcsin(sin(x))\|=cos(x)	$\| \arcsin (\sin (x)) \| = \cos (x)$
29590	Solve by Graphing	\|x^2-8x+12\|=20	$\| x^{2} - 8 x + 12 \| = 20$
29591	Solve by Graphing	\|2x-3\|=17	$\| 2 x - 3 \| = 17$
29592	Solve by Graphing	( square root of 2sin(x)+1)=0	$(\sqrt{2} \sin (x) + 1) = 0$
29593	Solve by Graphing	(2cos(x)- square root of 2)(2sin(theta)-1)=0	$(2 \cos (x) - \sqrt{2}) (2 \sin (θ) - 1) = 0$
29594	Solve by Graphing	(2sin(x)- square root of 3)(3sec(x)+2 square root of 3)=0	$(2 \sin (x) - \sqrt{3}) (3 \sec (x) + 2 \sqrt{3}) = 0$
29595	Solve by Graphing	(2x+13)(2x+27)=4x^2+175x+351	$(2 x + 13) (2 x + 27) = 4 x^{2} + 175 x + 351$
29596	Solve by Graphing	(4sin(x)^2-1)sin(x)=0	$(4 \sin^{2} (x) - 1) \sin (x) = 0$
29597	Solve by Graphing	(cos(x)+sin(x))(1-cos(x)sin(x))=sin(x)^3+cos(x)^3	$(\cos (x) + \sin (x)) (1 - \cos (x) \sin (x)) = \sin^{3} (x) + \cos^{3} (x)$
29598	Solve by Graphing	(cos(x)-2)(cos(x)-2)+sin(x)^2=4	$(\cos (x) - 2) (\cos (x) - 2) + \sin^{2} (x) = 4$
29599	Solve by Graphing	(tan(theta)-1)(cos(theta)+1)=0	$(\tan (θ) - 1) (\cos (θ) + 1) = 0$
29600	Solve by Graphing	(tan(x+ square root of 3))(2sin(x-1))=0	$(\tan (x + \sqrt{3})) (2 \sin (x - 1)) = 0$