Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
21601	Find the Roots (Zeros)	f(x)=(x-1)(x+6)(x+3)	$f (x) = (x - 1) (x + 6) (x + 3)$
21602	Find the Roots (Zeros)	f(x)=(x-2)+1	$f (x) = (x - 2) + 1$
21603	Find the Roots (Zeros)	f(x)=(1/2)^x-2	$f (x) = {(\frac{1}{2})}^{x} - 2$
21604	Find the Roots (Zeros)	f(x)=(1-x)^3	$f (x) = {(1 - x)}^{3}$
21605	Find the Roots (Zeros)	f(x)=(2x+3)^7	$f (x) = {(2 x + 3)}^{7}$
21606	Find the Roots (Zeros)	f(x)=(4x-1)^6	$f (x) = {(4 x - 1)}^{6}$
21607	Find the Roots (Zeros)	f(x)=((9x)/5)/(12x)	$f (x) = \frac{\frac{9 x}{5}}{12 x}$
21608	Find the Roots (Zeros)	f(x)=(x+1)^2-2	$f (x) = {(x + 1)}^{2} - 2$
21609	Find the Roots (Zeros)	f(x)=(x+4)^2(x-3)^3(x-2)	$f (x) = {(x + 4)}^{2} {(x - 3)}^{3} (x - 2)$
21610	Find the Roots (Zeros)	f(x)=((x-1)(x+1))/x	$f (x) = \frac{(x - 1) (x + 1)}{x}$
21611	Find the Roots (Zeros)	f(x)=(x-1)^2+4	$f (x) = {(x - 1)}^{2} + 4$
21612	Find the Roots (Zeros)	x-9=0	$x - 9 = 0$
21613	Find the Roots (Zeros)	y(x)=325x+23000000	$y (x) = 325 x + 23000000$
21614	Find the Roots (Zeros)	y=(x^2+4)/x	$y = \frac{x^{2} + 4}{x}$
21615	Find the Roots (Zeros)	y=-1/2x^2-1/2x+3/2	$y = - \frac{1}{2} x^{2} - \frac{1}{2} x + \frac{3}{2}$
21616	Find the Roots (Zeros)	y=-1/2x^2+4x-6	$y = \frac{- 1}{2} x^{2} + 4 x - 6$
21617	Find the Roots (Zeros)	y=4x^3e^x+x^4e^x	$y = 4 x^{3} e^{x} + x^{4} e^{x}$
21618	Find the Roots (Zeros)	y=e	$y = e$
21619	Find the Roots (Zeros)	y=e^(-x)-e	$y = e^{- x} - e$
21620	Find the Roots (Zeros)	y=- square root of 16-x^2	$y = - \sqrt{16 - x^{2}}$
21621	Find the Roots (Zeros)	y=x^2	$y = x^{2}$
21622	Find the Roots (Zeros)	y=x^2-12x+27	$y = x^{2} - 12 x + 27$
21623	Find the Roots (Zeros)	y=x^3+9x^2+15x-25	$y = x^{3} + 9 x^{2} + 15 x - 25$
21624	Find the Roots (Zeros)	y=x^3-1	$y = x^{3} - 1$
21625	Find the Roots (Zeros)	y=16x^2-32x+20	$y = 16 x^{2} - 32 x + 20$
21626	Find the Roots (Zeros)	y=2x-x^3	$y = 2 x - x^{3}$
21627	Find the Roots (Zeros)	y=(3x)/(x^2-1)	$y = \frac{3 x}{x^{2} - 1}$
21628	Find the Roots (Zeros)	f(x)=3x+6 natural log of 6	$f (x) = 3 x + 6 \ln (6)$
21629	Find the Roots (Zeros)	f(x)=-4(x-2)^2+37	$f (x) = - 4 {(x - 2)}^{2} + 37$
21630	Find the Roots (Zeros)	f(x)=-4(x-4)^3(x+5)^2x^4	$f (x) = - 4 {(x - 4)}^{3} {(x + 5)}^{2} x^{4}$
21631	Find the Roots (Zeros)	f(x)=4-x^2	$f (x) = 4 - x^{2}$
21632	Find the Roots (Zeros)	f(x)=-4x^2+4x+8	$f (x) = - 4 x^{2} + 4 x + 8$
21633	Find the Roots (Zeros)	f(x)=4x^2-1+2x	$f (x) = 4 x^{2} - 1 + 2 x$
21634	Find the Number of Possibilities	13 permute 10	${}_{13}P_{10}$
21635	Find the Roots (Zeros)	f(x)=4x^3-19x^2+19x+6	$f (x) = 4 x^{3} - 19 x^{2} + 19 x + 6$
21636	Find the Roots (Zeros)	f(x)=4x^3-25x^2-154x+40	$f (x) = 4 x^{3} - 25 x^{2} - 154 x + 40$
21637	Find the Roots (Zeros)	f(x)=4x^6+2x^5+5x^4+x^3+9x^2+9x+9	$f (x) = 4 x^{6} + 2 x^{5} + 5 x^{4} + x^{3} + 9 x^{2} + 9 x + 9$
21638	Find the Roots (Zeros)	f(x)=4x^6+2x^5+5x^4+x^3+9x^2+9x-9	$f (x) = 4 x^{6} + 2 x^{5} + 5 x^{4} + x^{3} + 9 x^{2} + 9 x - 9$
21639	Find the Roots (Zeros)	f(x)=-4x+3	$f (x) = - 4 x + 3$
21640	Find the Roots (Zeros)	f(x)=4x+4x^2	$f (x) = 4 x + 4 x^{2}$
21641	Find the Roots (Zeros)	f(x)=-4x-7	$f (x) = - 4 x - 7$
21642	Find the Roots (Zeros)	f(x)=5cos(pix)^2	$f (x) = 5 \cos^{2} (π x)$
21643	Find the Roots (Zeros)	f(x)=5e^(4x)	$f (x) = 5 e^{4 x}$
21644	Find the Roots (Zeros)	f(x)=5 square root of 5	$f (x) = 5 \sqrt{5}$
21645	Find the Roots (Zeros)	f(x)=-5x^2-5x	$f (x) = - 5 x^{2} - 5 x$
21646	Find the Roots (Zeros)	f(x)=500e^((800)(5))	$f (x) = 500 e^{(800) (5)}$
21647	Find the Roots (Zeros)	f(x)=5sin(0.5)	$f (x) = 5 \sin (0.5)$
21648	Find the Roots (Zeros)	f(x)=5x	$f (x) = 5 x$
21649	Find the Roots (Zeros)	f(x)=2x-34y	$f (x) = 2 x - 34 y$
21650	Find the Roots (Zeros)	f(x)=2x-3y	$f (x) = 2 x - 3 y$
21651	Find the Roots (Zeros)	f(x)=3(5z)-4	$f (x) = 3 (5 z) - 4$
21652	Find the Roots (Zeros)	f(x)=3*5-2	$f (x) = 3 \cdot 5 - 2$
21653	Find the Roots (Zeros)	f(x)=3x^2+10x+7	$f (x) = 3 x^{2} + 10 x + 7$
21654	Find the Roots (Zeros)	f(x)=3x	$f (x) = 3 x$
21655	Find the Roots (Zeros)	f(x)=-3x	$f (x) = - 3 x$
21656	Find the Number of Possibilities	12 permute 0	${}_{12}P_{0}$
21657	Find the Roots (Zeros)	f(x)=3x+4^2-2x	$f (x) = 3 x + 4^{2} - 2 x$
21658	Solve by Completing the Square	x^2-36=0	$x^{2} - 36 = 0$
21659	Solve by Completing the Square	x^2-3x+15=3	$x^{2} - 3 x + 15 = 3$
21660	Solve by Completing the Square	x^2-5x=5	$x^{2} - 5 x = 5$
21661	Solve by Completing the Square	x^2-x=0	$x^{2} - x = 0$
21662	Solve by Completing the Square	-0.000047S^2+0.081065S-27.895165=0	$- 0.000047 S^{2} + 0.081065 S - 27.895165 = 0$
21663	Solve by Completing the Square	0=-4.9t^2+80t	$0 = - 4.9 t^{2} + 80 t$
21664	Solve by Completing the Square	16x^2+25=40x	$16 x^{2} + 25 = 40 x$
21665	Solve by Completing the Square	2n^2=-144	$2 n^{2} = - 144$
21666	Solve by Completing the Square	2v^2-10v-20=8	$2 v^{2} - 10 v - 20 = 8$
21667	Find the Roots (Zeros)	f(x)=-12x^2+36x	$f (x) = - 12 x^{2} + 36 x$
21668	Find the Roots (Zeros)	f(x)=16x^2+24x+5	$f (x) = 16 x^{2} + 24 x + 5$
21669	Find the Roots (Zeros)	f(x)=18x+12	$f (x) = 18 x + 12$
21670	Find the Roots (Zeros)	f(x)=2(x+2)(x-2)^3(2x-1)^4	$f (x) = 2 (x + 2) {(x - 2)}^{3} {(2 x - 1)}^{4}$
21671	Find the Roots (Zeros)	f(x)=-2(x+1)^2-2	$f (x) = - 2 {(x + 1)}^{2} - 2$
21672	Find the Roots (Zeros)	f(x)=-2\|x+1\|	$f (x) = - 2 \| x + 1 \|$
21673	Find the Roots (Zeros)	f(x)=2x^2+5x+3	$f (x) = 2 x^{2} + 5 x + 3$
21674	Find the Roots (Zeros)	f(x)=2x^2+8x+3	$f (x) = 2 x^{2} + 8 x + 3$
21675	Find the Roots (Zeros)	f(x)=-2x^2+9x+9	$f (x) = - 2 x^{2} + 9 x + 9$
21676	Find the Roots (Zeros)	F(x)=2x^2-3	$F (x) = 2 x^{2} - 3$
21677	Find the Roots (Zeros)	f(x)=2x^2-4x+5	$f (x) = 2 x^{2} - 4 x + 5$
21678	Find the Roots (Zeros)	F(x)=2+(x+3)^2	$F (x) = 2 + {(x + 3)}^{2}$
21679	Find the Roots (Zeros)	f(x)=20x^2+8x+1	$f (x) = 20 x^{2} + 8 x + 1$
21680	Find the Roots (Zeros)	f(x)=2-2x	$f (x) = 2 - 2 x$
21681	Find the Variance	15 , 94 , 84 , 70 , 75 , 58	$15$ , $94$ , $84$ , $70$ , $75$ , $58$
21682	Find the Roots (Zeros)	y=30+8x+x^2	$y = 30 + 8 x + x^{2}$
21683	Find the Roots (Zeros)	y=4*(1/2)^(x-2)-2	$y = 4 \cdot {(\frac{1}{2})}^{x - 2} - 2$
21684	Find the Roots (Zeros)	y=4x+3	$y = 4 x + 3$
21685	Find the Roots (Zeros)	y=-6e^(-x)	$y = - 6 e^{- x}$
21686	Find the Roots (Zeros)	y=7	$y = 7$
21687	Find the Roots (Zeros)	y=h(x-4)	$y = h (x - 4)$
21688	Find the Roots (Zeros)	y = natural log of x+e^( square root of x)	$y = \ln (x) + e^{\sqrt{x}}$
21689	Find the Roots (Zeros)	y=tan(x+pi/4)	$y = \tan (x + \frac{π}{4})$
21690	Find the Roots (Zeros)	z=x^2-xy+y^2+3x	$z = x^{2} - x y + y^{2} + 3 x$
21691	Find the Roots (Zeros)	(60-5)-(18-5)=(40*-5)	$(60 \cdot - 5) - (18 \cdot - 5) = (40 \cdot - 5)$
21692	Find the Roots (Zeros)	( square root of m+18)^2+2=(m-2)^2	${(\sqrt{m + 18})}^{2} + 2 = {(m - 2)}^{2}$
21693	Find the Roots (Zeros)	(5sin(1))^2+11sin(6)=0	${(5 \sin (1))}^{2} + 11 \sin (6) = 0$
21694	Find the Roots (Zeros)	(sin(x)+cos(x))^2+(sin(x)-cos(x))^2=2	${(\sin (x) + \cos (x))}^{2} + {(\sin (x) - \cos (x))}^{2} = 2$
21695	Find the Roots (Zeros)	(u-1)^3+80=0	${(u - 1)}^{3} + 80 = 0$
21696	Find the Roots (Zeros)	(x^2)/(3.410^-3-x)=1.410^-4	$\frac{x^{2}}{3.4 \cdot 10^{- 3} - x} = 1.4 \cdot 10^{- 4}$
21697	Find the Roots (Zeros)	\|7 1/3\|	$\| 7 \frac{1}{3} \|$
21698	Find the Roots (Zeros)	\|x+1\|=5	$\| x + 1 \| = 5$
21699	Find the Roots (Zeros)	1/6a=2/3*(3-a)+(a-8)/6	$\frac{1}{6} a = \frac{2}{3} \cdot (3 - a) + \frac{a - 8}{6}$
21700	Find the Roots (Zeros)	2/3y=3-5/6y	$\frac{2}{3} y = 3 - \frac{5}{6} y$