Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
7601	Find the Roots (Zeros)	P(x)=x^6-7x^3-8	$P (x) = x^{6} - 7 x^{3} - 8$
7602	Find the Roots (Zeros)	P(x)=x^4+x^3+7x^2+9x-18	$P (x) = x^{4} + x^{3} + 7 x^{2} + 9 x - 18$
7603	Find the Roots (Zeros)	p(x)=x^4+16x^3-18x^2-16x+17	$p (x) = x^{4} + 16 x^{3} - 18 x^{2} - 16 x + 17$
7604	Find the Roots (Zeros)	p(x)=x^3-6x^2+11x-6	$p (x) = x^{3} - 6 x^{2} + 11 x - 6$
7605	Find the Roots (Zeros)	p(x)=x^3+6x^2-32	$p (x) = x^{3} + 6 x^{2} - 32$
7606	Find the Roots (Zeros)	P(x)=x^3-8x^2+24x-32	$P (x) = x^{3} - 8 x^{2} + 24 x - 32$
7607	Find the Roots (Zeros)	p(x)=x^4+12x^2+36	$p (x) = x^{4} + 12 x^{2} + 36$
7608	Find the Roots (Zeros)	p(x)=x^4+14x^2+49	$p (x) = x^{4} + 14 x^{2} + 49$
7609	Find the Roots (Zeros)	P(x)=x^4+81x^2	$P (x) = x^{4} + 81 x^{2}$
7610	Find the Roots (Zeros)	p(x)=x^4-2x^3-2x^2-2x-3	$p (x) = x^{4} - 2 x^{3} - 2 x^{2} - 2 x - 3$
7611	Find the Roots (Zeros)	tan(x)=sin(x)	$\tan (x) = \sin (x)$
7612	Find the Roots (Zeros)	sin(2x)sin(x)=cos(x)	$\sin (2 x) \sin (x) = \cos (x)$
7613	Find the Roots (Zeros)	sin(x)=1	$\sin (x) = 1$
7614	Find the Roots (Zeros)	tan(x)+sec(x)=1	$\tan (x) + \sec (x) = 1$
7615	Find the Roots (Zeros)	-x(x+3)(x-4)	$- x (x + 3) (x - 4)$
7616	Find the Roots (Zeros)	x-5cos(x)=0	$x - 5 \cos (x) = 0$
7617	Find the Roots (Zeros)	y=(9-x)(7-8x)	$y = (9 - x) (7 - 8 x)$
7618	Find the Roots (Zeros)	y=2^(x-3)-4	$y = 2^{x - 3} - 4$
7619	Find the Roots (Zeros)	y=tan(x)	$y = \tan (x)$
7620	Find the Roots (Zeros)	y=k(x^4-4Lx^3+3L^3x)	$y = k (x^{4} - 4 L x^{3} + 3 L^{3} x)$
7621	Find the Roots (Zeros)	(x^2-2x-15)/(x-7)=f(x)	$\frac{x^{2} - 2 x - 15}{x - 7} = f (x)$
7622	Find the Roots (Zeros)	y=(x-1)/(x+1)	$y = \frac{x - 1}{x + 1}$
7623	Find the Roots (Zeros)	t=pi/4	$t = \frac{π}{4}$
7624	Find the Roots (Zeros)	w(x)=(0.46^2)/(2(1-0.46))	$w (x) = \frac{{0.46}^{2}}{2 (1 - 0.46)}$
7625	Find the Roots (Zeros)	sin(2x)=2sin(x)	$\sin (2 x) = 2 \sin (x)$
7626	Find the Roots (Zeros)	x(2e^(2x))+8x^2e^(2x)	$x (2 e^{2 x}) + 8 x^{2} e^{2 x}$
7627	Find the Roots (Zeros)	y=2x-4	$y = 2 x - 4$
7628	Find the Roots (Zeros)	y=3sin(2x)-4x+1	$y = 3 \sin (2 x) - 4 x + 1$
7629	Find the Roots (Zeros)	y=4x^2+8x-13	$y = 4 x^{2} + 8 x - 13$
7630	Find the Roots (Zeros)	y=4x^3-20x^2+25x	$y = 4 x^{3} - 20 x^{2} + 25 x$
7631	Find the Roots (Zeros)	6x^3-11x^2-9x-1=0	$6 x^{3} - 11 x^{2} - 9 x - 1 = 0$
7632	Find the Roots (Zeros)	6x^3-47x^2+36x-7=0	$6 x^{3} - 47 x^{2} + 36 x - 7 = 0$
7633	Find the Roots (Zeros)	7x^3-5x^2-63x+45	$7 x^{3} - 5 x^{2} - 63 x + 45$
7634	Find the Roots (Zeros)	5x^3-7x^2-45x+63	$5 x^{3} - 7 x^{2} - 45 x + 63$
7635	Find the Roots (Zeros)	-66+6x^2+x^3-11x=0	$- 66 + 6 x^{2} + x^{3} - 11 x = 0$
7636	Find the Roots (Zeros)	6-6sin(x)=4cos(x)^2	$6 - 6 \sin (x) = 4 \cos^{2} (x)$
7637	Find the Roots (Zeros)	x^2+6x+8=0	$x^{2} + 6 x + 8 = 0$
7638	Find the Roots (Zeros)	9x^3+9x^2-x-1=0	$9 x^{3} + 9 x^{2} - x - 1 = 0$
7639	Find the Roots (Zeros)	7x^3-3x^2-35x+15=0	$7 x^{3} - 3 x^{2} - 35 x + 15 = 0$
7640	Find the Roots (Zeros)	cos(2x)=( square root of 3)/2	$\cos (2 x) = \frac{\sqrt{3}}{2}$
7641	Find the Roots (Zeros)	cos(x)=-18/(13 square root of 2)	$\cos (x) = \frac{- 18}{13 \sqrt{2}}$
7642	Find the Roots (Zeros)	cos(2x)=sin(x)	$\cos (2 x) = \sin (x)$
7643	Find the Roots (Zeros)	cos(2x)=sin(x)+1	$\cos (2 x) = \sin (x) + 1$
7644	Find the Roots (Zeros)	cos(x)=-1/2	$\cos (x) = - \frac{1}{2}$
7645	Find the Roots (Zeros)	cos(x)=( square root of 2)/2	$\cos (x) = \frac{\sqrt{2}}{2}$
7646	Find the Roots (Zeros)	cot(x)=- square root of 3	$\cot (x) = - \sqrt{3}$
7647	Find the Roots (Zeros)	cot(x)=-1	$\cot (x) = - 1$
7648	Find the Roots (Zeros)	9x^2+4	$9 x^{2} + 4$
7649	Find the Roots (Zeros)	5cot(x)^2-15=0	$5 \cot^{2} (x) - 15 = 0$
7650	Find the Roots (Zeros)	4x^3+17x^2-16=0	$4 x^{3} + 17 x^{2} - 16 = 0$
7651	Find the Roots (Zeros)	4cos(x-3)^2=0	$4 \cos^{2} (x - 3) = 0$
7652	Find the Roots (Zeros)	5x^2-2x+1=0	$5 x^{2} - 2 x + 1 = 0$
7653	Find the Roots (Zeros)	3x^3-x^2+48x-16	$3 x^{3} - x^{2} + 48 x - 16$
7654	Find the Quadrant of the Angle	-pi	$- π$
7655	Find the Roots (Zeros)	3x^3-2x^2-9x+6=0	$3 x^{3} - 2 x^{2} - 9 x + 6 = 0$
7656	Find the Roots (Zeros)	2cos(x)-1=0	$2 \cos (x) - 1 = 0$
7657	Find the Roots (Zeros)	2sin(2x- square root of 3)=0	$2 \sin (2 x - \sqrt{3}) = 0$
7658	Find the Roots (Zeros)	x^5-32i=0	$x^{5} - 32 i = 0$
7659	Find the Roots (Zeros)	x^5-4x^3	$x^{5} - 4 x^{3}$
7660	Find the Roots (Zeros)	x^6-3x^3-4=0	$x^{6} - 3 x^{3} - 4 = 0$
7661	Find the Roots (Zeros)	x^6-36x^4=0	$x^{6} - 36 x^{4} = 0$
7662	Find the Roots (Zeros)	x^6-72x^3+512=0	$x^{6} - 72 x^{3} + 512 = 0$
7663	Find the Roots (Zeros)	z^4-z^3-6z-36=0	$z^{4} - z^{3} - 6 z - 36 = 0$
7664	Find the Roots (Zeros)	0=20sin(pi/3-1)-3	$0 = 20 \sin (\frac{π}{3} - 1) - 3$
7665	Find the Roots (Zeros)	x^4+7x^2-144	$x^{4} + 7 x^{2} - 144$
7666	Find the Roots (Zeros)	x^4-16	$x^{4} - 16$
7667	Find the Roots (Zeros)	x^4-6x^3+22x^2-30x+13=0	$x^{4} - 6 x^{3} + 22 x^{2} - 30 x + 13 = 0$
7668	Find the Roots (Zeros)	x^5=3	$x^{5} = 3$
7669	Find the Roots (Zeros)	x^4-9x^3+31x^2-49x+30=0	$x^{4} - 9 x^{3} + 31 x^{2} - 49 x + 30 = 0$
7670	Find the Roots (Zeros)	x^4-5x^3+9x^2-7x+2=0	$x^{4} - 5 x^{3} + 9 x^{2} - 7 x + 2 = 0$
7671	Find the Roots (Zeros)	2y^4+7y^3-26y^2+23y-6=0	$2 y^{4} + 7 y^{3} - 26 y^{2} + 23 y - 6 = 0$
7672	Find the Roots (Zeros)	2x^4-x^3-21x^2+9x+27=0	$2 x^{4} - x^{3} - 21 x^{2} + 9 x + 27 = 0$
7673	Find the Roots (Zeros)	2x^3-11x^2+10x+8	$2 x^{3} - 11 x^{2} + 10 x + 8$
7674	Find the Roots (Zeros)	2x^3-11x^2+10x+8=0	$2 x^{3} - 11 x^{2} + 10 x + 8 = 0$
7675	Find the Roots (Zeros)	2x^3-11x^2+13x-4=0	$2 x^{3} - 11 x^{2} + 13 x - 4 = 0$
7676	Find the Roots (Zeros)	2x^3-17x^2-11x-1=0	$2 x^{3} - 17 x^{2} - 11 x - 1 = 0$
7677	Find the Roots (Zeros)	2x^3-21x^2+60x-25=0	$2 x^{3} - 21 x^{2} + 60 x - 25 = 0$
7678	Find the Roots (Zeros)	2x^3-3x^2-11x+6=0	$2 x^{3} - 3 x^{2} - 11 x + 6 = 0$
7679	Find the Roots (Zeros)	15x^3-119x^2-10x+16	$15 x^{3} - 119 x^{2} - 10 x + 16$
7680	Find the Roots (Zeros)	15x^3-59x^2+49x-9=0	$15 x^{3} - 59 x^{2} + 49 x - 9 = 0$
7681	Find the Roots (Zeros)	2x^2+14=0	$2 x^{2} + 14 = 0$
7682	Find the Roots (Zeros)	2x^3-x^2-18x+9	$2 x^{3} - x^{2} - 18 x + 9$
7683	Find the Roots (Zeros)	2x^3-x^2-6x+3=0	$2 x^{3} - x^{2} - 6 x + 3 = 0$
7684	Find the Roots (Zeros)	2x^3+5x^2-4=0	$2 x^{3} + 5 x^{2} - 4 = 0$
7685	Find the Roots (Zeros)	2x^2+3x-4=0	$2 x^{2} + 3 x - 4 = 0$
7686	Find the Roots (Zeros)	x^5-3x^4+19x^3-49x^2+48x-16	$x^{5} - 3 x^{4} + 19 x^{3} - 49 x^{2} + 48 x - 16$
7687	Find the Roots (Zeros)	x^6-1	$x^{6} - 1$
7688	Find the Roots (Zeros)	x^6-16x^4=0	$x^{6} - 16 x^{4} = 0$
7689	Find the Roots (Zeros)	11x^3+125x^2+45x+11	$11 x^{3} + 125 x^{2} + 45 x + 11$
7690	Find the Roots (Zeros)	b^2=49	$b^{2} = 49$
7691	Find the Roots (Zeros)	sec(256)^2=tan(256)^2+1	$\sec^{2} (256) = \tan^{2} (256) + 1$
7692	Find the Roots (Zeros)	log base 729 of x+ log base 27 of x+ log base 3 of x=9	$\log_{729} (x) + \log_{27} (x) + \log_{3} (x) = 9$
7693	Find the Roots (Zeros)	square root of 9u-4 = square root of 7u-20	$\sqrt{9 u - 4} = \sqrt{7 u - 20}$
7694	Find the Roots (Zeros)	7/4x+1=1/4+1/4x	$\frac{7}{4} x + 1 = \frac{1}{4} + \frac{1}{4} x$
7695	Find the Roots (Zeros)	(x)^(-2/3)+(x)^(-1/3)-12=0	${(x)}^{- \frac{2}{3}} + {(x)}^{- \frac{1}{3}} - 12 = 0$
7696	Find the Roots (Zeros)	1/3x+1/4=1	$\frac{1}{3} x + \frac{1}{4} = 1$
7697	Find the Roots (Zeros)	3/x+2=4/(5x)+21/10	$\frac{3}{x} + 2 = \frac{4}{5 x} + \frac{21}{10}$
7698	Find the Roots (Zeros)	x^3=i	$x^{3} = i$
7699	Find the Roots (Zeros)	x^3-27	$x^{3} - 27$
7700	Find the Roots (Zeros)	x^3-13x^2+56x-78=0	$x^{3} - 13 x^{2} + 56 x - 78 = 0$