Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
15501	Factor by Grouping	6x^4-5x^2+12x^2-10	$6 x^{4} - 5 x^{2} + 12 x^{2} - 10$
15502	Find All Complex Solutions	(x+2)/(x-4)-1/x=4/(x^2-4x)	$\frac{x + 2}{x - 4} - \frac{1}{x} = \frac{4}{x^{2} - 4 x}$
15503	Simplify	square root of -294	$\sqrt{- 294}$
15504	Complete the Square	x^2+9x+	$x^{2} + 9 x +$
15505	Simplify	square root of 2x+3	$\sqrt{2 x + 3}$
15506	Determine if Odd, Even, or Neither	h(x)=x^4-x^12	$h (x) = x^{4} - x^{12}$
15507	Simplify	square root of -150	$\sqrt{- 150}$
15508	Simplify	square root of -13	$\sqrt{- 13}$
15509	Find the Roots (Zeros)	(x^3-13x^2+47x-35)÷(x-1)	$(x^{3} - 13 x^{2} + 47 x - 35) \div (x - 1)$
15510	Find the Roots (Zeros)	(4x^2-36x)/(x-9)	$\frac{4 x^{2} - 36 x}{x - 9}$
15511	Find the Roots (Zeros)	2x^3-5x^2+2x+1	$2 x^{3} - 5 x^{2} + 2 x + 1$
15512	Find the Roots (Zeros)	2x^3-x^2-9x+6	$2 x^{3} - x^{2} - 9 x + 6$
15513	Simplify	square root of 3/4	$\sqrt{\frac{3}{4}}$
15514	Solve by Substitution	4x+4=y , y=6x	$4 x + 4 = y$ , $y = 6 x$
15515	Simplify	square root of 9x^10	$\sqrt{9 x^{10}}$
15516	Simplify	square root of -98	$\sqrt{- 98}$
15517	Simplify	square root of 6x	$\sqrt{6 x}$
15518	Simplify	square root of 54x^3y^5	$\sqrt{54 x^{3} y^{5}}$
15519	Simplify	cube root of n^6m^5	$\sqrt[3]{n^{6} m^{5}}$
15520	Find Amplitude, Period, and Phase Shift	y=1/4cos((2pi)/3theta)	$y = \frac{1}{4} \cos (\frac{2 π}{3} θ)$
15521	Simplify	cube root of 5/(3x)	$\sqrt[3]{\frac{5}{3 x}}$
15522	Simplify	cube root of -8x^6y^9	$\sqrt[3]{- 8 x^{6} y^{9}}$
15523	Simplify	cube root of 32x^8	$\sqrt[3]{32 x^{8}}$
15524	Find the Median	10 , 11 , 4 , 7 , 12 , 11 , 16 , 6 , 9 , 15	$10$ , $11$ , $4$ , $7$ , $12$ , $11$ , $16$ , $6$ , $9$ , $15$
15525	Simplify	fourth root of 8/(x^8)	$\sqrt[4]{\frac{8}{x^{8}}}$
15526	Find the Asymptotes	y=1/(x-4)+2	$y = \frac{1}{x - 4} + 2$
15527	Simplify	seventh root of x^4	$\sqrt[7]{x^{4}}$
15528	Convert to a Mixed Number	26/9	$\frac{26}{9}$
15529	Simplify	(x-5)/(x^2-25)	$\frac{x - 5}{x^{2} - 25}$
15530	Find the Maximum/Minimum Value	f(x)=-1/4x^2+2x-3	$f (x) = - \frac{1}{4} x^{2} + 2 x - 3$
15531	Simplify	(x-7)/(7-x)	$\frac{x - 7}{7 - x}$
15532	Simplify	fourth root of x^2	$\sqrt[4]{x^{2}}$
15533	Simplify	fifth root of x^35	$\sqrt[5]{x^{35}}$
15534	Find the Maximum/Minimum Value	f(x)=x^2+4x+11	$f (x) = x^{2} + 4 x + 11$
15535	Simplify	fourth root of 81x^5y^9	$\sqrt[4]{81 x^{5} y^{9}}$
15536	Divide Using Synthetic Division	(x^3+7x^2-9x-63)÷(x+3)	$(x^{3} + 7 x^{2} - 9 x - 63) \div (x + 3)$
15537	Simplify	4 square root of 48	$4 \sqrt{48}$
15538	Simplify	5 square root of 2	$5 \sqrt{2}$
15539	Find the Vertex	f(x)=2x^2-8x+5	$f (x) = 2 x^{2} - 8 x + 5$
15540	Divide	(x^3-64)/(x-4)	$\frac{x^{3} - 64}{x - 4}$
15541	Find the Vertex	f(x)=(x-6)(x+2)	$f (x) = (x - 6) (x + 2)$
15542	Find the Vertex	f(x)=\|x+5\|-6	$f (x) = \| x + 5 \| - 6$
15543	Find the Vertex	f(x)=(x+3)^2-2	$f (x) = {(x + 3)}^{2} - 2$
15544	Find the Vertex	f(x)=2(x-3)^2+8	$f (x) = 2 {(x - 3)}^{2} + 8$
15545	Find the Vertex	f(r)=(r-14)^2-56.25	$f (r) = {(r - 14)}^{2} - 56.25$
15546	Find the Inverse	(2x-3)/5	$\frac{2 x - 3}{5}$
15547	Find the Average	[-5,-1]	$[- 5, - 1]$
15548	Find the Average	[-3,1]	$[- 3, 1]$
15549	Evaluate the Function	f(x)=(3x+2)(-6x-3)	$f (x) = (3 x + 2) (- 6 x - 3)$
15550	Evaluate	5/( square root of 3)	$\frac{5}{\sqrt{3}}$
15551	Evaluate the Function	f(-9)=-x^2-10x-2	$f (- 9) = - x^{2} - 10 x - 2$
15552	Evaluate	( square root of 7- square root of 5)/( square root of 7+ square root of 5)	$\frac{\sqrt{7} - \sqrt{5}}{\sqrt{7} + \sqrt{5}}$
15553	Evaluate the Function	f(-3)=2x^3+6	$f (- 3) = 2 x^{3} + 6$
15554	Find the x and y Intercepts	2x-3y=18	$2 x - 3 y = 18$
15555	Find the Vertex Form	-4x^2+40x-112	$- 4 x^{2} + 40 x - 112$
15556	Find the x and y Intercepts	2x+5y=20	$2 x + 5 y = 20$
15557	Find the Vertex Form	x^2-12x+7	$x^{2} - 12 x + 7$
15558	Find the x and y Intercepts	f(x)=x^2-8x+7	$f (x) = x^{2} - 8 x + 7$
15559	Find the Vertex Form	5x^2+20x+21	$5 x^{2} + 20 x + 21$
15560	Find the Slope and y-intercept	y=-2x+7	$y = - 2 x + 7$
15561	Determine if Rational	- square root of 26	$- \sqrt{26}$
15562	Find the Slope and y-intercept	y=x+4	$y = x + 4$
15563	Convert to a Percentage	49/50	$\frac{49}{50}$
15564	Write in Slope-Intercept Form	2x-4y=8	$2 x - 4 y = 8$
15565	Convert to a Percentage	1.32	$1.32$
15566	Solve by Factoring	2x = square root of 7x+2	$2 x = \sqrt{7 x + 2}$
15567	Find Three Ordered Pair Solutions	7x-2y=-5	$7 x - 2 y = - 5$
15568	Write as a Function of h	s=2pirh+2pir^2	$s = 2 π r h + 2 π r^{2}$
15569	Solve by Factoring	3x^2=16x+12	$3 x^{2} = 16 x + 12$
15570	Solve by Factoring	30x-11=30/x	$30 x - 11 = \frac{30}{x}$
15571	Solve by Factoring	5x^4-20x^2=0	$5 x^{4} - 20 x^{2} = 0$
15572	Write as a Function of r	S=2pirh+2pir^2	$S = 2 π r h + 2 π r^{2}$
15573	Solve by Completing the Square	(x^2)/2+7/2x=1	$\frac{x^{2}}{2} + \frac{7}{2} x = 1$
15574	Solve by Completing the Square	x^2-2x=5	$x^{2} - 2 x = 5$
15575	Solve by Completing the Square	x^2+x-6=0	$x^{2} + x - 6 = 0$
15576	Convert to Set Notation	[-3,infinity)	$[- 3, \infty)$
15577	Solve by Completing the Square	x^2-12x=-35	$x^{2} - 12 x = - 35$
15578	Find the LCD	10/(3m^2n) , 1/(6mn^4)	$\frac{10}{3 m^{2} n}$ , $\frac{1}{6 m n^{4}}$
15579	Solve by Completing the Square	x^2+6x=10	$x^{2} + 6 x = 10$
15580	Find the Constant of Variation	-6y=-5x	$- 6 y = - 5 x$
15581	Solve by Completing the Square	x^2+2x=13	$x^{2} + 2 x = 13$
15582	Solve by Completing the Square	x^2+14x=3	$x^{2} + 14 x = 3$
15583	Solve by Completing the Square	x^2+2x=5	$x^{2} + 2 x = 5$
15584	Convert to Logarithmic Form	log base 9 of 22	$\log_{9} (22)$
15585	Solve by Completing the Square	x^2+2x-35=0	$x^{2} + 2 x - 35 = 0$
15586	Convert to Logarithmic Form	4^6=4096	$4^{6} = 4096$
15587	Solve by Completing the Square	x^2+2x-9=0	$x^{2} + 2 x - 9 = 0$
15588	Find the Vertex Form	y=5x^2+20x+14	$y = 5 x^{2} + 20 x + 14$
15589	Find the Vertex Form	y=2x^2+16x+17	$y = 2 x^{2} + 16 x + 17$
15590	Find the Asymptotes	(x^2+5x-14)/(x^2+4x-21)	$\frac{x^{2} + 5 x - 14}{x^{2} + 4 x - 21}$
15591	Solve by Completing the Square	x^2-8x+12=0	$x^{2} - 8 x + 12 = 0$
15592	Find the Asymptotes	(7x+1)/(2x-9)	$\frac{7 x + 1}{2 x - 9}$
15593	Solve by Completing the Square	6x^2-x-5=0	$6 x^{2} - x - 5 = 0$
15594	Find the Roots (Zeros)	x^3-2x^2-9x+18=0	$x^{3} - 2 x^{2} - 9 x + 18 = 0$
15595	Find the Domain and Range	f(x)=3x^2+6x-8	$f (x) = 3 x^{2} + 6 x - 8$
15596	Solve by Factoring	(x-4)^(2/3)=4	${(x - 4)}^{\frac{2}{3}} = 4$
15597	Write in Standard Form	x^2-13x+20=-6	$x^{2} - 13 x + 20 = - 6$
15598	Solve by Factoring	(x-2)^(2/3)=4	${(x - 2)}^{\frac{2}{3}} = 4$
15599	Write in Standard Form	x^2-10x+20=-5	$x^{2} - 10 x + 20 = - 5$
15600	Solve by Factoring	(x-2)^(2/3)=9	${(x - 2)}^{\frac{2}{3}} = 9$