Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
119501	Solve by Completing the Square	x^2-8x=242	$x^{2} - 8 x = 242$
119502	Solve by Completing the Square	x^2-12x-4=0	$x^{2} - 12 x - 4 = 0$
119503	Solve by Completing the Square	x^2-12x=-26	$x^{2} - 12 x = - 26$
119504	Solve by Completing the Square	x^2-27=-6x	$x^{2} - 27 = - 6 x$
119505	Solve by Completing the Square	3x^2-24x+27=0	$3 x^{2} - 24 x + 27 = 0$
119506	Solve by Completing the Square	2x^2-14x+10=26	$2 x^{2} - 14 x + 10 = 26$
119507	Solve by Completing the Square	2x^2+16x+42=0	$2 x^{2} + 16 x + 42 = 0$
119508	Solve by Completing the Square	2x^2+16x-8=0	$2 x^{2} + 16 x - 8 = 0$
119509	Solve by Completing the Square	x^2-14x-32=0	$x^{2} - 14 x - 32 = 0$
119510	Find the LCD	x/(x^2-16) , 3/x , 7/(24-6x)	$\frac{x}{x^{2} - 16}$ , $\frac{3}{x}$ , $\frac{7}{24 - 6 x}$
119511	Find the LCD	(2x)/(7x-21) , 1/(2x-6)	$\frac{2 x}{7 x - 21}$ , $\frac{1}{2 x - 6}$
119512	Find the LCD	12/(x+7) , 8/(x-7)	$\frac{12}{x + 7}$ , $\frac{8}{x - 7}$
119513	Find the Constant of Variation	7x=-6y	$7 x = - 6 y$
119514	Find the LCD	7/(2x-8) , (5x)/(3x-12)	$\frac{7}{2 x - 8}$ , $\frac{5 x}{3 x - 12}$
119515	Find the LCD	(2x)/(x^2+4x+3) , 3/(x^2+10x+21)	$\frac{2 x}{x^{2} + 4 x + 3}$ , $\frac{3}{x^{2} + 10 x + 21}$
119516	Factor by Grouping	x^3+9x^2-3x-27	$x^{3} + 9 x^{2} - 3 x - 27$
119517	Factor by Grouping	y^3-5y^2+6y-30	$y^{3} - 5 y^{2} + 6 y - 30$
119518	Factor by Grouping	5w^3+3w^2+10w+6	$5 w^{3} + 3 w^{2} + 10 w + 6$
119519	Factor by Grouping	20x^3-28x^2+45x-63	$20 x^{3} - 28 x^{2} + 45 x - 63$
119520	Factor by Grouping	5x^3+4x^2+25x+20	$5 x^{3} + 4 x^{2} + 25 x + 20$
119521	Factor by Grouping	y^2-by-ay+ab	$y^{2} - b y - a y + a b$
119522	Factor by Grouping	3w^3+4w^2+9w+12	$3 w^{3} + 4 w^{2} + 9 w + 12$
119523	Factor by Grouping	4x^2-20xy-7x+35y	$4 x^{2} - 20 x y - 7 x + 35 y$
119524	Factor by Grouping	14x^3-10x^2+21x-15	$14 x^{3} - 10 x^{2} + 21 x - 15$
119525	Factor by Grouping	5v^3+7v^2+10v+14	$5 v^{3} + 7 v^{2} + 10 v + 14$
119526	Factor by Grouping	3x^3+7x^2+18x+42	$3 x^{3} + 7 x^{2} + 18 x + 42$
119527	Factor by Grouping	20x^3-28x^2+15x-21	$20 x^{3} - 28 x^{2} + 15 x - 21$
119528	Factor by Grouping	2q^2-9PQ-2Q+9P	$2 q^{2} - 9 P Q - 2 Q + 9 P$
119529	Factor by Grouping	2x^2-4xy-9x+18y	$2 x^{2} - 4 x y - 9 x + 18 y$
119530	Factor by Grouping	3x^3+5x^2+18x+30	$3 x^{3} + 5 x^{2} + 18 x + 30$
119531	Factor by Grouping	4x^2-8xy-5x+10y	$4 x^{2} - 8 x y - 5 x + 10 y$
119532	Factor by Grouping	5v^3+4v^2+15v+12	$5 v^{3} + 4 v^{2} + 15 v + 12$
119533	Factor by Grouping	6a^2-15a-8a+20	$6 a^{2} - 15 a - 8 a + 20$
119534	Factor by Grouping	ab+2a+3b+6	$a b + 2 a + 3 b + 6$
119535	Factor by Grouping	2d^3-d^2-3+6d	$2 d^{3} - d^{2} - 3 + 6 d$
119536	Factor by Grouping	xy+3y-7x-21	$x y + 3 y - 7 x - 21$
119537	Factor by Grouping	2q^2-9pq-2q+9p	$2 q^{2} - 9 p q - 2 q + 9 p$
119538	Find All Complex Solutions	cos(2x)=-( square root of 3)/2	$\cos (2 x) = - \frac{\sqrt{3}}{2}$
119539	Find Three Ordered Pair Solutions	3x-4y-8=12	$3 x - 4 y - 8 = 12$
119540	Find Three Ordered Pair Solutions	3y=5x-15	$3 y = 5 x - 15$
119541	Determine if True	log of 3/5=( log of 3)/( log of 5)	$\log (\frac{3}{5}) = \frac{\log (3)}{\log (5)}$
119542	Determine if True	log base 5 of 6- log base 5 of 2 = log base 5 of 3	$\log_{5} (6) - \log_{5} (2) = \log_{5} (3)$
119543	Find the Discriminant	2z^2+8z+8=0	$2 z^{2} + 8 z + 8 = 0$
119544	Find the Discriminant	2x^2=6x+4	$2 x^{2} = 6 x + 4$
119545	Find the Discriminant	14r^2=5-7r	$14 r^{2} = 5 - 7 r$
119546	Find Where Undefined/Discontinuous	y=((x+1)(x-5))/(x^2+4x+3)	$y = \frac{(x + 1) (x - 5)}{x^{2} + 4 x + 3}$
119547	Find the Prime Factorization	4096	$4096$
119548	Use the Rational Roots Test to Find All Possible Roots	f(x)=2x^3-15x^2+9x+22	$f (x) = 2 x^{3} - 15 x^{2} + 9 x + 22$
119549	Find the Axis of Symmetry	y=-5x^2-20x-26	$y = - 5 x^{2} - 20 x - 26$
119550	Find the Axis of Symmetry	y=3x^2+5x-7	$y = 3 x^{2} + 5 x - 7$
119551	Find the Axis of Symmetry	y=1/2(x-3)^2+5	$y = \frac{1}{2} {(x - 3)}^{2} + 5$
119552	Find the Axis of Symmetry	y=2(x+4)^2-1	$y = 2 {(x + 4)}^{2} - 1$
119553	Find the x and y Intercepts	(2x^2+14x-36)/(x^2+x-12)	$\frac{2 x^{2} + 14 x - 36}{x^{2} + x - 12}$
119554	Find the x and y Intercepts	-2x^2-3x+2	$- 2 x^{2} - 3 x + 2$
119555	Complete the Square	t^2-2t	$t^{2} - 2 t$
119556	Complete the Square	m^2-16m	$m^{2} - 16 m$
119557	Complete the Square	x^2-12x+50	$x^{2} - 12 x + 50$
119558	Complete the Square	25x^2+10x+	$25 x^{2} + 10 x +$
119559	Round to the Nearest Tenth	379.94	$379.94$
119560	Round to the Nearest Tenth	56.52	$56.52$
119561	Reduce the Fraction	50/10	$\frac{50}{10}$
119562	Reduce the Fraction	68/32	$\frac{68}{32}$
119563	Reduce the Fraction	7/56	$\frac{7}{56}$
119564	Reduce the Fraction	56/33	$\frac{56}{33}$
119565	Reduce the Fraction	23/36	$\frac{23}{36}$
119566	Reduce the Fraction	72/132	$\frac{72}{132}$
119567	Convert to an Improper Fraction	6 3/7	$6 \frac{3}{7}$
119568	Convert to an Improper Fraction	6 2/7	$6 \frac{2}{7}$
119569	Convert to an Improper Fraction	12 3/4	$12 \frac{3}{4}$
119570	Find the 5th Term	0.1 , 0.9 , 8.1 , 72.9	$0.1$ , $0.9$ , $8.1$ , $72.9$
119571	Find the 5th Term	15 , 45 , 135 , 405	$15$ , $45$ , $135$ , $405$
119572	Find the GCF	6x^3-12x^2-18x	$6 x^{3} - 12 x^{2} - 18 x$
119573	Find the GCF	12j^8+30j^4-6j^3	$12 j^{8} + 30 j^{4} - 6 j^{3}$
119574	Find the GCF	64-40ab	$64 - 40 a b$
119575	Find the GCF	24x-32	$24 x - 32$
119576	Find the GCF	64d^5-32d^2	$64 d^{5} - 32 d^{2}$
119577	Find the GCF	14b^3+21b^2-42b	$14 b^{3} + 21 b^{2} - 42 b$
119578	Find Where Undefined/Discontinuous	(y^2+10y+25)/(y^2-4y-45)	$\frac{y^{2} + 10 y + 25}{y^{2} - 4 y - 45}$
119579	Find Where Undefined/Discontinuous	(x^2+10x+25)/(x^2-4x-45)	$\frac{x^{2} + 10 x + 25}{x^{2} - 4 x - 45}$
119580	Find Where Undefined/Discontinuous	(x^2-9x+20)/(x^2-16)*(x^2+5x+4)/(x^2-4x-5)	$\frac{x^{2} - 9 x + 20}{x^{2} - 16} \cdot \frac{x^{2} + 5 x + 4}{x^{2} - 4 x - 5}$
119581	Find the 6th Term	0.1 , 0.9 , 8.1 , 72.9	$0.1$ , $0.9$ , $8.1$ , $72.9$
119582	Convert to an Improper Fraction	11 2/3	$11 \frac{2}{3}$
119583	Find the GCF	12x^2+28x	$12 x^{2} + 28 x$
119584	Find the Difference Quotient	f(x)=-9x+7	$f (x) = - 9 x + 7$
119585	Find the Difference Quotient	f(x)=x^2-5x+7	$f (x) = x^{2} - 5 x + 7$
119586	Convert to Logarithmic Form	2e^x=14	$2 e^{x} = 14$
119587	Convert to Logarithmic Form	e^(7x)=3	$e^{7 x} = 3$
119588	Convert to Logarithmic Form	e^(x+3)=60	$e^{x + 3} = 60$
119589	Convert to Logarithmic Form	32=x^5	$32 = x^{5}$
119590	Convert to Logarithmic Form	fifth root of -3125=-5	$\sqrt[5]{- 3125} = - 5$
119591	Convert to Logarithmic Form	e^4=m	$e^{4} = m$
119592	Convert to Logarithmic Form	27^(4/3)=81	$27^{\frac{4}{3}} = 81$
119593	Convert to Logarithmic Form	e^1.099=3	$e^{1.099} = 3$
119594	Convert to Logarithmic Form	e^15=x	$e^{15} = x$
119595	Convert to Logarithmic Form	1/3e^(3t)=1/2	$\frac{1}{3} e^{3 t} = \frac{1}{2}$
119596	Convert to Logarithmic Form	A=9^b	$A = 9^{b}$
119597	Convert to Logarithmic Form	9^(4x)=3.9	$9^{4 x} = 3.9$
119598	Find the Vertex Form	y=2x^2+12x+1	$y = 2 x^{2} + 12 x + 1$
119599	Find the Vertex Form	y=x^2+10x+15	$y = x^{2} + 10 x + 15$
119600	Find the Vertex Form	y=8x^2-16x+27	$y = 8 x^{2} - 16 x + 27$