Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
21501	Solve by Completing the Square	(4x+1)(x+2)=-2	$(4 x + 1) (x + 2) = - 2$
21502	Solve by Completing the Square	9x^2+15x=14	$9 x^{2} + 15 x = 14$
21503	Solve by Completing the Square	p^2=3p-1	$p^{2} = 3 p - 1$
21504	Solve by Completing the Square	w^2-2w=15	$w^{2} - 2 w = 15$
21505	Solve by Completing the Square	x+2x^2=-1	$x + 2 x^{2} = - 1$
21506	Solve by Completing the Square	x^2-2/5x=4/25	$x^{2} - \frac{2}{5} x = \frac{4}{25}$
21507	Reduce	(9-6x+3x^2)/3	$\frac{9 - 6 x + 3 x^{2}}{3}$
21508	Reduce	(9a-18)/(7a-14)	$\frac{9 a - 18}{7 a - 14}$
21509	Reduce	(a+3)/10*13	$\frac{a + 3}{10} \cdot 13$
21510	Find the Domain	f(x)=(7x)/3-4/3	$f (x) = \frac{7 x}{3} - \frac{4}{3}$
21511	Find the Domain	f(x)=(8x)/(4x+3)	$f (x) = \frac{8 x}{4 x + 3}$
21512	Find the Domain	f(x) = square root of (-4)+4	$f (x) = \sqrt{(- 4) + 4}$
21513	Find the Domain	f(x)=- square root of 25	$f (x) = - \sqrt{25}$
21514	Find the Domain	f(x) = square root of 2-x	$f (x) = \sqrt{2 - x}$
21515	Find the Roots (Zeros)	x^3+5=0	$x^{3} + 5 = 0$
21516	Find the Roots (Zeros)	x^3+6x^2-7x-60=0	$x^{3} + 6 x^{2} - 7 x - 60 = 0$
21517	Find the Roots (Zeros)	x^3+i=0	$x^{3} + i = 0$
21518	Find the Roots (Zeros)	x^3-16x=0	$x^{3} - 16 x = 0$
21519	Find the Roots (Zeros)	x^3-3x^2-x+3=0	$x^{3} - 3 x^{2} - x + 3 = 0$
21520	Find the Roots (Zeros)	x^3-3x^(2+11x)-9=0	$x^{3} - 3 x^{2 + 11 x} - 9 = 0$
21521	Find the Roots (Zeros)	x^4+0x^3-15x^2+0x-16=0	$x^{4} + 0 x^{3} - 15 x^{2} + 0 x - 16 = 0$
21522	Find the Roots (Zeros)	x^4+10x^2+9=0	$x^{4} + 10 x^{2} + 9 = 0$
21523	Find the Roots (Zeros)	x^4+17x^2+16=0	$x^{4} + 17 x^{2} + 16 = 0$
21524	Find the Roots (Zeros)	x^4+8x^3+8x^2+8x+7=0	$x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 7 = 0$
21525	Find the Roots (Zeros)	x^4+9x^2-10=0	$x^{4} + 9 x^{2} - 10 = 0$
21526	Find the Roots (Zeros)	x^4-11x^2+30=0	$x^{4} - 11 x^{2} + 30 = 0$
21527	Find the Roots (Zeros)	x^4-3x^3-18x^2-18x-4=0	$x^{4} - 3 x^{3} - 18 x^{2} - 18 x - 4 = 0$
21528	Find the Roots (Zeros)	x^4-3=2x+1	$x^{4} - 3 = 2 x + 1$
21529	Find the Roots (Zeros)	x^4-37x^2+36=0	$x^{4} - 37 x^{2} + 36 = 0$
21530	Find the Roots (Zeros)	x^5+x^4+4x^3+3x^2+x+1=0	$x^{5} + x^{4} + 4 x^{3} + 3 x^{2} + x + 1 = 0$
21531	Find the Roots (Zeros)	x^5+x^4-x-1=0	$x^{5} + x^{4} - x - 1 = 0$
21532	Find the Roots (Zeros)	0=y^4e^x	$0 = y^{4} e^{x}$
21533	Find the Roots (Zeros)	0=-7-2x^2	$0 = - 7 - 2 x^{2}$
21534	Find the Roots (Zeros)	1 = log base 3 of 3	$1 = \log_{3} (3)$
21535	Find the Roots (Zeros)	11-12/5x=3	$11 - \frac{12}{5} x = 3$
21536	Find the Roots (Zeros)	125x^3	$125 x^{3}$
21537	Find the Roots (Zeros)	3x^2-4x+2=0	$3 x^{2} - 4 x + 2 = 0$
21538	Find the Roots (Zeros)	2a^2+5a-12=a+4	$2 a^{2} + 5 a - 12 = a + 4$
21539	Find the Roots (Zeros)	2x^2+7x=4	$2 x^{2} + 7 x = 4$
21540	Find the Roots (Zeros)	2x^2-4x+2=0	$2 x^{2} - 4 x + 2 = 0$
21541	Find the Roots (Zeros)	2x^3-x^2-9x-4=0	$2 x^{3} - x^{2} - 9 x - 4 = 0$
21542	Find the Roots (Zeros)	2 = log of 6^36	$2 = \log (6^{36})$
21543	Find the Roots (Zeros)	-2-6-18-54-n=9	$- 2 - 6 - 18 - 54 - n = 9$
21544	Find the Roots (Zeros)	3 square root of x+2 square root of x=10	$3 \sqrt{x} + 2 \sqrt{x} = 10$
21545	Find the Roots (Zeros)	3x^2(x-4)(x+5)=0	$3 x^{2} \cdot (x - 4) \cdot (x + 5) = 0$
21546	Find the Roots (Zeros)	-3x^2+5x-1=0	$- 3 x^{2} + 5 x - 1 = 0$
21547	Find the Roots (Zeros)	3x^3+10x^2+x-6=0	$3 x^{3} + 10 x^{2} + x - 6 = 0$
21548	Find the Roots (Zeros)	3q-2p=8 3/8	$3 q - 2 p = 8 \frac{3}{8}$
21549	Find the Roots (Zeros)	3x(x+2)=6x	$3 x (x + 2) = 6 x$
21550	Find the Roots (Zeros)	3x-17=6^4	$3 x - 17 = 6^{4}$
21551	Find the Roots (Zeros)	3x-6y+6z=-3	$3 x - 6 y + 6 z = - 3$
21552	Find the Roots (Zeros)	4(5 square root of x-9)-7( square root of x-3)=3 square root of x	$4 (5 \sqrt{x} - 9) - 7 (\sqrt{x} - 3) = 3 \sqrt{x}$
21553	Find the Roots (Zeros)	4x^4-x^3+5x^2-6x+8=0	$4 x^{4} - x^{3} + 5 x^{2} - 6 x + 8 = 0$
21554	Find the Roots (Zeros)	4x1-x2=11	$4 x \cdot 1 - x \cdot 2 = 11$
21555	Find the Roots (Zeros)	5 square root of x = square root of 15x+60	$5 \sqrt{x} = \sqrt{15 x + 60}$
21556	Find the Roots (Zeros)	5x^2+18x^3-21x^2+60=0	$5 x^{2} + 18 x^{3} - 21 x^{2} + 60 = 0$
21557	Find the Roots (Zeros)	5x^2=18x-9	$5 x^{2} = 18 x - 9$
21558	Find the Roots (Zeros)	5x^3+27x^2+11x+5	$5 x^{3} + 27 x^{2} + 11 x + 5$
21559	Find the Roots (Zeros)	54+27x-15x^2-6x^3=0	$54 + 27 x - 15 x^{2} - 6 x^{3} = 0$
21560	Find the Roots (Zeros)	5x+3y=45	$5 x + 3 y = 45$
21561	Find the Roots (Zeros)	6x^3+2x-18=0	$6 x^{3} + 2 x - 18 = 0$
21562	Find the Roots (Zeros)	7 4/9-3 1/8	$7 \frac{4}{9} - 3 \frac{1}{8}$
21563	Find the Roots (Zeros)	7x^(2/3)-252=0	$7 x^{\frac{2}{3}} - 252 = 0$
21564	Find the Roots (Zeros)	7x^2=22x-3	$7 x^{2} = 22 x - 3$
21565	Find the Roots (Zeros)	729x^6-4096=0	$729 x^{6} - 4096 = 0$
21566	Find the Roots (Zeros)	7x=-4y+0	$7 x = - 4 y + 0$
21567	Find the Roots (Zeros)	8x^3-34x^2+5x+12=0	$8 x^{3} - 34 x^{2} + 5 x + 12 = 0$
21568	Find the Roots (Zeros)	9	$9$
21569	Find the Roots (Zeros)	97* natural log of y=91	$97 \cdot \ln (y) = 91$
21570	Find the Roots (Zeros)	a15=415-3	$a \cdot 15 = 4 \cdot 15 - 3$
21571	Find the Roots (Zeros)	a*20=9+(20-1)(-7)	$a \cdot 20 = 9 + (20 - 1) (- 7)$
21572	Find the Roots (Zeros)	b(x)=30.01+0.11(27.00)	$b (x) = 30.01 + 0.11 (27)$
21573	Find the Roots (Zeros)	c(x)=x^2-40x+405	$c (x) = x^{2} - 40 x + 405$
21574	Find the Roots (Zeros)	C(x)=105x+450	$C (x) = 105 x + 450$
21575	Find the Roots (Zeros)	c(x)=140000+31*19000	$c (x) = 140000 + 31 \cdot 19000$
21576	Find the Roots (Zeros)	C(x)=260x+5720	$C (x) = 260 x + 5720$
21577	Find the Roots (Zeros)	C(x)=9x^2-8	$C (x) = 9 x^{2} - 8$
21578	Find the Roots (Zeros)	c(k)=k(c(k-1))^2	$c (k) = k {(c (k - 1))}^{2}$
21579	Find the Roots (Zeros)	c=5/9*(f-32)	$c = \frac{5}{9} \cdot (f - 32)$
21580	Find the Roots (Zeros)	c=4x+5y	$c = 4 x + 5 y$
21581	Find the Roots (Zeros)	D(P)=2560-60P	$D (P) = 2560 - 60 P$
21582	Find the Roots (Zeros)	d(w)=(aw)/150	$d (w) = \frac{a w}{150}$
21583	Find the Roots (Zeros)	f( square root of 5) = square root of x^2-3x	$f (\sqrt{5}) = \sqrt{x^{2} - 3 x}$
21584	Find the Roots (Zeros)	f(a)=(2x^4-9x^2-x+2)/(x^2-2x-1)	$f (a) = \frac{2 x^{4} - 9 x^{2} - x + 2}{x^{2} - 2 x - 1}$
21585	Find the Roots (Zeros)	f(a)=x^2+3x+8	$f (a) = x^{2} + 3 x + 8$
21586	Find the Roots (Zeros)	f(a)=3x^2+2x	$f (a) = 3 x^{2} + 2 x$
21587	Find the Roots (Zeros)	f(p)=9(p)-9	$f (p) = 9 (p) - 9$
21588	Find the Roots (Zeros)	f(t)=t/(t^2-9)	$f (t) = \frac{t}{t^{2} - 9}$
21589	Find the Roots (Zeros)	f(t)=1-2x	$f (t) = 1 - 2 x$
21590	Find the Roots (Zeros)	f(t)=15(0.945)^t	$f (t) = 15 {(0.945)}^{t}$
21591	Find the Roots (Zeros)	f(t)=3-2x	$f (t) = 3 - 2 x$
21592	Find the Roots (Zeros)	f(x)=2x	$f (x) = 2 x$
21593	Find the Roots (Zeros)	1=7/x+7/(x+4)	$1 = \frac{7}{x} + \frac{7}{x + 4}$
21594	Find the Roots (Zeros)	f(x)=(2e^(-2x)+x-4)/(x-1)	$f (x) = \frac{2 e^{- 2 x} + x - 4}{x - 1}$
21595	Find the Roots (Zeros)	f(x)=-0.01x^2+16x-5175	$f (x) = - 0.01 x^{2} + 16 x - 5175$
21596	Find the Roots (Zeros)	f(x)=-2(x-1)^2+4	$f (x) = - 2 {(x - 1)}^{2} + 4$
21597	Find the Roots (Zeros)	f(x)=9x^3-9x^2	$f (x) = 9 x^{3} - 9 x^{2}$
21598	Find the Roots (Zeros)	f(x)=(pi/3)(-sin((pix)/3))	$f (x) = (\frac{π}{3}) (- \sin (\frac{π x}{3}))$
21599	Find the Roots (Zeros)	f(x)=(-x^3+3x^2+13x-15)	$f (x) = (- x^{3} + 3 x^{2} + 13 x - 15)$
21600	Find the Roots (Zeros)	f(x)=(x^( natural log of x)) , x=e	$f (x) = (x^{\ln (x)})$ , $x = e$