Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
3601	Find the Roots (Zeros)	x^4+3x^3+8x+24=0	$x^{4} + 3 x^{3} + 8 x + 24 = 0$
3602	Find the Roots (Zeros)	x^3-5x^2+5x-1=0	$x^{3} - 5 x^{2} + 5 x - 1 = 0$
3603	Find the Roots (Zeros)	cos(x)^2+2cos(x)+1=0	$\cos^{2} (x) + 2 \cos (x) + 1 = 0$
3604	Find the Roots (Zeros)	2x^3-5x^2-11x+21=0	$2 x^{3} - 5 x^{2} - 11 x + 21 = 0$
3605	Find the Roots (Zeros)	2y^4+3y^3-42y^2+68y-24=0	$2 y^{4} + 3 y^{3} - 42 y^{2} + 68 y - 24 = 0$
3606	Find the Roots (Zeros)	y=3x^4+16x^3-18x^2+5	$y = 3 x^{4} + 16 x^{3} - 18 x^{2} + 5$
3607	Find the Roots (Zeros)	5x^3+7x^2-11x+3=0	$5 x^{3} + 7 x^{2} - 11 x + 3 = 0$
3608	Find the Roots (Zeros)	5x^3-x^2+5x-1	$5 x^{3} - x^{2} + 5 x - 1$
3609	Find the Roots (Zeros)	4x^3-12x^2-9x-1=0	$4 x^{3} - 12 x^{2} - 9 x - 1 = 0$
3610	Find the Roots (Zeros)	4sin(x)^2-4sin(x)+1=0	$4 \sin^{2} (x) - 4 \sin (x) + 1 = 0$
3611	Find the Roots (Zeros)	8x^3-10x^2-7x-1=0	$8 x^{3} - 10 x^{2} - 7 x - 1 = 0$
3612	Find the Roots (Zeros)	9x^4-25x^3-x^2+19=0	$9 x^{4} - 25 x^{3} - x^{2} + 19 = 0$
3613	Find the Roots (Zeros)	cos(x)=-( square root of 3)/2	$\cos (x) = - \frac{\sqrt{3}}{2}$
3614	Find the Roots (Zeros)	7x^3+3x^2-29x+11=0	$7 x^{3} + 3 x^{2} - 29 x + 11 = 0$
3615	Find the Roots (Zeros)	z=7i	$z = 7 i$
3616	Find the Roots (Zeros)	sin(2x)+cos(x)=0	$\sin (2 x) + \cos (x) = 0$
3617	Find the Roots (Zeros)	sin(2x)=sin(x)	$\sin (2 x) = \sin (x)$
3618	Find the Roots (Zeros)	p(x)=x^2+64	$p (x) = x^{2} + 64$
3619	Find the Roots (Zeros)	p(x)=x^3-7x^2+14x-8	$p (x) = x^{3} - 7 x^{2} + 14 x - 8$
3620	Find the Roots (Zeros)	p(x)=x^4-5x^2-6	$p (x) = x^{4} - 5 x^{2} - 6$
3621	Find the Roots (Zeros)	p(x)=x^4-13x^2+36	$p (x) = x^{4} - 13 x^{2} + 36$
3622	Find the Roots (Zeros)	f(x)=3x^4-7x^3-31x^2+167x-52	$f (x) = 3 x^{4} - 7 x^{3} - 31 x^{2} + 167 x - 52$
3623	Find the Roots (Zeros)	f(x)=4x^3-24x^2-x+6	$f (x) = 4 x^{3} - 24 x^{2} - x + 6$
3624	Find the Roots (Zeros)	f(x)=4x^4+5x^3+21x^2+25x+5	$f (x) = 4 x^{4} + 5 x^{3} + 21 x^{2} + 25 x + 5$
3625	Find the Roots (Zeros)	f(x)=2x^3-9x^2+x+12	$f (x) = 2 x^{3} - 9 x^{2} + x + 12$
3626	Find the Roots (Zeros)	f(x)=2x^4+x^3-14x^2+8x	$f (x) = 2 x^{4} + x^{3} - 14 x^{2} + 8 x$
3627	Find the Roots (Zeros)	f(x)=2x^3-4x^2-34x+68	$f (x) = 2 x^{3} - 4 x^{2} - 34 x + 68$
3628	Find the Roots (Zeros)	f(x)=csc(x-2)	$f (x) = \csc (x - 2)$
3629	Find the Roots (Zeros)	g(x)=x^3-7x^2-x+87	$g (x) = x^{3} - 7 x^{2} - x + 87$
3630	Find the Roots (Zeros)	f(x)=x^3-x^2-7x+15	$f (x) = x^{3} - x^{2} - 7 x + 15$
3631	Find the Roots (Zeros)	f(x)=x^3-x^2-4x-6	$f (x) = x^{3} - x^{2} - 4 x - 6$
3632	Find the Roots (Zeros)	f(x)=x^2-6x+9	$f (x) = x^{2} - 6 x + 9$
3633	Find the Roots (Zeros)	f(x)=\|3x+5\|-11	$f (x) = \| 3 x + 5 \| - 11$
3634	Find the Roots (Zeros)	f(x)=x^2e^x-64e^x	$f (x) = x^{2} e^{x} - 64 e^{x}$
3635	Find the Roots (Zeros)	f(x)=x^2-2x+5	$f (x) = x^{2} - 2 x + 5$
3636	Simplify	(9x(x+6)^4-x^2*18(x+6)^3)/((x+6)^8)	$\frac{9 x {(x + 6)}^{4} - x^{2} \cdot 18 {(x + 6)}^{3}}{{(x + 6)}^{8}}$
3637	Find the Roots (Zeros)	f(x)=x^3+3x^2-2x-6	$f (x) = x^{3} + 3 x^{2} - 2 x - 6$
3638	Find the Roots (Zeros)	f(x) = log base 2 of 2x-5	$f (x) = \log_{2} (2 x - 5)$
3639	Find the Roots (Zeros)	f(x)=\|x^2-49\|	$f (x) = \| x^{2} - 49 \|$
3640	Find the Roots (Zeros)	f(x)=x^4+4x^2-21	$f (x) = x^{4} + 4 x^{2} - 21$
3641	Find the Roots (Zeros)	f(x)=x^3-1	$f (x) = x^{3} - 1$
3642	Find the Roots (Zeros)	f(x)=x^3-16x	$f (x) = x^{3} - 16 x$
3643	Find the Roots (Zeros)	f(x)=x^3-7x^2+32x-60	$f (x) = x^{3} - 7 x^{2} + 32 x - 60$
3644	Find the Roots (Zeros)	f(x)=x^3-7x^2+11x+3	$f (x) = x^{3} - 7 x^{2} + 11 x + 3$
3645	Find the Roots (Zeros)	f(x)=x^3-5x^2-61x-55	$f (x) = x^{3} - 5 x^{2} - 61 x - 55$
3646	Find the Roots (Zeros)	f(x)=x^3-6x^2+13x-20	$f (x) = x^{3} - 6 x^{2} + 13 x - 20$
3647	Find the Roots (Zeros)	f(x)=x^4-5x^2-36	$f (x) = x^{4} - 5 x^{2} - 36$
3648	Find the Roots (Zeros)	f(x)=x^4-6x^2+8	$f (x) = x^{4} - 6 x^{2} + 8$
3649	Find the Roots (Zeros)	f(x)=x^5-4x^4-x^3+10x^2-2x-4	$f (x) = x^{5} - 4 x^{4} - x^{3} + 10 x^{2} - 2 x - 4$
3650	Find the Roots (Zeros)	f(x)=x^5-5x^3+4x	$f (x) = x^{5} - 5 x^{3} + 4 x$
3651	Find the Roots (Zeros)	f(x)=2x^2+5x-3	$f (x) = 2 x^{2} + 5 x - 3$
3652	Find the Roots (Zeros)	f(x)=11x^3+12x^2+12x+1	$f (x) = 11 x^{3} + 12 x^{2} + 12 x + 1$
3653	Find the Roots (Zeros)	f(x)=12x^3+73x^2+5x-6	$f (x) = 12 x^{3} + 73 x^{2} + 5 x - 6$
3654	Find the Roots (Zeros)	f(x)=2x^3+3x^2+50x+75	$f (x) = 2 x^{3} + 3 x^{2} + 50 x + 75$
3655	Find the x and y Intercepts	y=xsin(1/x)	$y = x \sin (\frac{1}{x})$
3656	Find the x and y Intercepts	x^2+9y^2=9	$x^{2} + 9 y^{2} = 9$
3657	Find the x and y Intercepts	2y-4x=-8	$2 y - 4 x = - 8$
3658	Find the x and y Intercepts	(x^2-25)/(x^2)	$\frac{x^{2} - 25}{x^{2}}$
3659	Find the x and y Intercepts	(x+7)^2+(y-0)^2=25	${(x + 7)}^{2} + {(y - 0)}^{2} = 25$
3660	Find the x and y Intercepts	x^2+y^2+4x-4y=0	$x^{2} + y^{2} + 4 x - 4 y = 0$
3661	Solve by Factoring	sin(2x)+sin(x)=0	$\sin (2 x) + \sin (x) = 0$
3662	Solve by Factoring	sin(2x)=( square root of 3)/2	$\sin (2 x) = \frac{\sqrt{3}}{2}$
3663	Solve by Factoring	cos(4x)-cos(2x)=0	$\cos (4 x) - \cos (2 x) = 0$
3664	Solve by Factoring	cos(x)=( square root of 3)/2	$\cos (x) = \frac{\sqrt{3}}{2}$
3665	Find the Slope and y-intercept	y=5x-10	$y = 5 x - 10$
3666	Find the Slope and y-intercept	6x-6y=18	$6 x - 6 y = 18$
3667	Solve by Factoring	sin(x)=( square root of 2)/2	$\sin (x) = \frac{\sqrt{2}}{2}$
3668	Write in Slope-Intercept Form	2x+5y-7=0	$2 x + 5 y - 7 = 0$
3669	Write in Slope-Intercept Form	9x+5y-45=0	$9 x + 5 y - 45 = 0$
3670	Write in Slope-Intercept Form	y+4=-1/4*(x+1)	$y + 4 = - \frac{1}{4} \cdot (x + 1)$
3671	Solve by Factoring	sec(x-2)^2=tan(x)^2	$\sec^{2} (x - 2) = \tan^{2} (x)$
3672	Solve by Factoring	5^(2x)+5^x-12=0	$5^{2 x} + 5^{x} - 12 = 0$
3673	Solve by Factoring	8^x=32	$8^{x} = 32$
3674	Solve by Factoring	2^(7-3x)=1/4	$2^{7 - 3 x} = \frac{1}{4}$
3675	Find the Roots (Zeros)	p(x)=-x^4-3x^3+x^2+13x+10	$p (x) = - x^{4} - 3 x^{3} + x^{2} + 13 x + 10$
3676	Solve by Factoring	42x^2-69x+20=7x^2-8	$42 x^{2} - 69 x + 20 = 7 x^{2} - 8$
3677	Solve by Factoring	2x^4-27x^3+115x^2-177x+63=0	$2 x^{4} - 27 x^{3} + 115 x^{2} - 177 x + 63 = 0$
3678	Solve by Factoring	2-10x=(3x-7)(x+1)	$2 - 10 x = (3 x - 7) (x + 1)$
3679	Solve by Factoring	2y^2+7y+3=0	$2 y^{2} + 7 y + 3 = 0$
3680	Solve by Factoring	24x^4-4x-48=0	$24 x^{4} - 4 x - 48 = 0$
3681	Solve by Factoring	25x^2+5x-12=0	$25 x^{2} + 5 x - 12 = 0$
3682	Solve by Factoring	x^2-13x-14=0	$x^{2} - 13 x - 14 = 0$
3683	Solve by Factoring	x^4-x^3+4x^2-16x-192=0	$x^{4} - x^{3} + 4 x^{2} - 16 x - 192 = 0$
3684	Solve by Factoring	x^4-5x^3=25x^2-125x	$x^{4} - 5 x^{3} = 25 x^{2} - 125 x$
3685	Find the x and y Intercepts	f(x)=x^4-10x^2+9	$f (x) = x^{4} - 10 x^{2} + 9$
3686	Find the x and y Intercepts	f(x)=x^4-49x^2	$f (x) = x^{4} - 49 x^{2}$
3687	Find the x and y Intercepts	f(x)=3x^2-10x-8	$f (x) = 3 x^{2} - 10 x - 8$
3688	Find the x and y Intercepts	f(x)=3(x-2)^2-3	$f (x) = 3 {(x - 2)}^{2} - 3$
3689	Find the x and y Intercepts	f(x)=3 log of x+5-2	$f (x) = 3 \log (x + 5) - 2$
3690	Find the x and y Intercepts	f(x)=3 log of x-5+2	$f (x) = 3 \log (x - 5) + 2$
3691	Find the x and y Intercepts	f(x)=4x-x^2-8	$f (x) = 4 x - x^{2} - 8$
3692	Find the x and y Intercepts	f(x) = log of x-4	$f (x) = \log (x - 4)$
3693	Find the x and y Intercepts	f(x)=x^2+16x+8	$f (x) = x^{2} + 16 x + 8$
3694	Find the x and y Intercepts	f(x)=2/(x-4)	$f (x) = \frac{2}{x - 4}$
3695	Find the x and y Intercepts	f(x)=2/(x^2-2x-3)	$f (x) = \frac{2}{x^{2} - 2 x - 3}$
3696	Find the x and y Intercepts	f(x)=(5x)/(x-3)	$f (x) = \frac{5 x}{x - 3}$
3697	Find the x and y Intercepts	f(x) = log base 2 of x-1	$f (x) = \log_{2} (x - 1)$
3698	Find the x and y Intercepts	f(x)=(x^2-100)/x	$f (x) = \frac{x^{2} - 100}{x}$
3699	Find the x and y Intercepts	4x^2+48x+4y^2=0	$4 x^{2} + 48 x + 4 y^{2} = 0$
3700	Find the x and y Intercepts	3x+5y+15=0	$3 x + 5 y + 15 = 0$