Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
112001	Find the Distance Between Two Points	(2,8) , (4,7)	$(2, 8) (4, 7)$
112002	Convert from Radians to Degrees	arctan(0)	$\arctan (0)$
112003	Solve by Factoring	x^2-6x+3=0	$x^{2} - 6 x + 3 = 0$
112004	Solve by Factoring	x^2-3=0	$x^{2} - 3 = 0$
112005	Determine if True	2(7)+5(5)=7	$2 (7) + 5 (5) = 7$
112006	Solve by Factoring	x^2-3x-5=0	$x^{2} - 3 x - 5 = 0$
112007	Solve by Factoring	x^-2-4x^-1-12=0	$x^{- 2} - 4 x^{- 1} - 12 = 0$
112008	Solve by Factoring	x^2+10x=0	$x^{2} + 10 x = 0$
112009	Solve by Factoring	x^-2+10x^-1+16=0	$x^{- 2} + 10 x^{- 1} + 16 = 0$
112010	Simplify/Condense	2 log base 3 of x-2 log base 3 of 9	$2 \log_{3} (x) - 2 \log_{3} (9)$
112011	Solve by Factoring	x^2+100=0	$x^{2} + 100 = 0$
112012	Solve by Factoring	x^2+18x=-81	$x^{2} + 18 x = - 81$
112013	Solve by Factoring	x^2+17x+72=0	$x^{2} + 17 x + 72 = 0$
112014	Solve by Factoring	x^2+16=8x	$x^{2} + 16 = 8 x$
112015	Solve by Factoring	x^2+3x-1=0	$x^{2} + 3 x - 1 = 0$
112016	Solve by Factoring	x^2+3x=28	$x^{2} + 3 x = 28$
112017	Solve by Factoring	x^2+25=10x	$x^{2} + 25 = 10 x$
112018	Solve by Factoring	x^2+5x-5=0	$x^{2} + 5 x - 5 = 0$
112019	Find the Asymptotes	y=(-2x^6+5x+8)/(8x^6+6x+5)	$y = \frac{- 2 x^{6} + 5 x + 8}{8 x^{6} + 6 x + 5}$
112020	Solve by Factoring	x^2+4x-6=0	$x^{2} + 4 x - 6 = 0$
112021	Solve by Factoring	x^2=2x	$x^{2} = 2 x$
112022	Find the Asymptotes	y=3(2/3)^x-1	$y = 3 {(\frac{2}{3})}^{x} - 1$
112023	Solve by Factoring	x^2+8x=-16	$x^{2} + 8 x = - 16$
112024	Solve by Factoring	x^2+8x=9	$x^{2} + 8 x = 9$
112025	Solve by Factoring	x^2+x+6=0	$x^{2} + x + 6 = 0$
112026	Write in Standard Form	y=1/6x+1	$y = \frac{1}{6} x + 1$
112027	Find the Domain	h(x)=(x+4)/(x^2-16)	$h (x) = \frac{x + 4}{x^{2} - 16}$
112028	Find the Domain	f(x) = log of x-3+5	$f (x) = \log (x - 3) + 5$
112029	Find the Domain	f(x)=(4x)/(9-x)	$f (x) = \frac{4 x}{9 - x}$
112030	Solve by Factoring	x^2+6x=-8	$x^{2} + 6 x = - 8$
112031	Solve by Factoring	x^2+6x-55=0	$x^{2} + 6 x - 55 = 0$
112032	Solve by Factoring	x^2+7x=-10	$x^{2} + 7 x = - 10$
112033	Solve by Factoring	x^2+81=0	$x^{2} + 81 = 0$
112034	Solve by Factoring	x^2+8=0	$x^{2} + 8 = 0$
112035	Solve by Factoring	x^2-11x=-24	$x^{2} - 11 x = - 24$
112036	Solve by Factoring	x^2-10x+22=-2	$x^{2} - 10 x + 22 = - 2$
112037	Solve by Factoring	x^2-13x=0	$x^{2} - 13 x = 0$
112038	Solve by Factoring	cube root of x-2=2	$\sqrt[3]{x - 2} = 2$
112039	Reduce the Fraction	17/52	$\frac{17}{52}$
112040	Solve by Factoring	fourth root of x^2+2x = fourth root of 24	$\sqrt[4]{x^{2} + 2 x} = \sqrt[4]{24}$
112041	Solve by Factoring	fourth root of x^2+4x = fourth root of 21	$\sqrt[4]{x^{2} + 4 x} = \sqrt[4]{21}$
112042	Find the Other Trig Values in Quadrant I	sin(x)=4/5	$\sin (x) = \frac{4}{5}$
112043	Solve by Factoring	fourth root of x^2+6x-2=0	$\sqrt[4]{x^{2} + 6 x} - 2 = 0$
112044	Solve by Factoring	cube root of x-7-2=0	$\sqrt[3]{x - 7} - 2 = 0$
112045	Solve by Factoring	cube root of 5x+3- cube root of 4x=0	$\sqrt[3]{5 x + 3} - \sqrt[3]{4 x} = 0$
112046	Solve by Factoring	cube root of 60x=-4	$\sqrt[3]{60 x} = - 4$
112047	Find the x and y Intercepts	8y=x^3	$8 y = x^{3}$
112048	Solve by Factoring	x/(2x+7)=(x-5)/(x-1)	$\frac{x}{2 x + 7} = \frac{x - 5}{x - 1}$
112049	Find the x and y Intercepts	13x+12=-13y+12	$13 x + 12 = - 13 y + 12$
112050	Solve by Factoring	fifth root of x^2-12x=-2	$\sqrt[5]{x^{2} - 12 x} = - 2$
112051	Find the x and y Intercepts	7x+15=-7y+15	$7 x + 15 = - 7 y + 15$
112052	Solve by Factoring	fourth root of x-4+11=14	$\sqrt[4]{x - 4} + 11 = 14$
112053	Find the x and y Intercepts	4x-3y=-16	$4 x - 3 y = - 16$
112054	Find Amplitude, Period, and Phase Shift	y=-4sin(2x)	$y = - 4 \sin (2 x)$
112055	Solve by Factoring	x^(2/5)=2	$x^{\frac{2}{5}} = 2$
112056	Solve by Factoring	x^(3/4)=729	$x^{\frac{3}{4}} = 729$
112057	Solve by Factoring	x^(1/2)-7x^(1/4)+10=0	$x^{\frac{1}{2}} - 7 x^{\frac{1}{4}} + 10 = 0$
112058	Solve by Factoring	x^(1/2)-6x^(1/4)+8=0	$x^{\frac{1}{2}} - 6 x^{\frac{1}{4}} + 8 = 0$
112059	Solve by Factoring	x^(1/2)=8	$x^{\frac{1}{2}} = 8$
112060	Solve by Factoring	x^(1/6)-2=0	$x^{\frac{1}{6}} - 2 = 0$
112061	Solve by Factoring	x^(-2/3)+x^(-1/3)-20=0	$x^{- \frac{2}{3}} + x^{- \frac{1}{3}} - 20 = 0$
112062	Identify the Zeros and Their Multiplicities	f(x)=x^3-28x^2+196x	$f (x) = x^{3} - 28 x^{2} + 196 x$
112063	Solve by Factoring	x^(2/3)-x^(1/3)+4=6	$x^{\frac{2}{3}} - x^{\frac{1}{3}} + 4 = 6$
112064	Solve by Factoring	x/(x+6)=72/(x^2-36)+4	$\frac{x}{x + 6} = \frac{72}{x^{2} - 36} + 4$
112065	Solve by Factoring	x/(x-1)+x/3=5/(x-1)	$\frac{x}{x - 1} + \frac{x}{3} = \frac{5}{x - 1}$
112066	Convert to Radical Form	5 2/3	$5 \frac{2}{3}$
112067	Convert to Radical Form	121x^(1/2)	$121 x^{\frac{1}{2}}$
112068	Solve by Factoring	x/(x-1)=6/5	$\frac{x}{x - 1} = \frac{6}{5}$
112069	Solve by Factoring	x/(x-5)+4/(x+5)=50/(x^2-25)	$\frac{x}{x - 5} + \frac{4}{x + 5} = \frac{50}{x^{2} - 25}$
112070	Convert to Radical Form	c^(1/7)	$c^{\frac{1}{7}}$
112071	Solve by Factoring	square root of 9x-2- square root of x+7=1	$\sqrt{9 x - 2} - \sqrt{x + 7} = 1$
112072	Solve by Factoring	square root of 9-8x=x	$\sqrt{9 - 8 x} = x$
112073	Solve by Factoring	square root of 8x-13-1=0	$\sqrt{8 x - 13} - 1 = 0$
112074	Find Where Undefined/Discontinuous	(6k+30)/(33k^5)*(k^2+16k+55)/(2k^3+20k^2+50k)	$\frac{6 k + 30}{33 k^{5}} \cdot \frac{k^{2} + 16 k + 55}{2 k^{3} + 20 k^{2} + 50 k}$
112075	Solve by Factoring	square root of 8x+1=x+2	$\sqrt{8 x + 1} = x + 2$
112076	Find Where Undefined/Discontinuous	(3x^2-48)/(6x^2)*(2x^3)/(x^3+10x^2+24x)	$\frac{3 x^{2} - 48}{6 x^{2}} \cdot \frac{2 x^{3}}{x^{3} + 10 x^{2} + 24 x}$
112077	Solve by Factoring	square root of 8-x=4	$\sqrt{8 - x} = 4$
112078	Convert to an Improper Fraction	3 4/9	$3 \frac{4}{9}$
112079	Solve by Factoring	square root of 6x+6=x+1	$\sqrt{6 x + 6} = x + 1$
112080	Solve by Factoring	square root of 6x+3=3	$\sqrt{6 x + 3} = 3$
112081	Solve by Factoring	square root of 6x+7=7	$\sqrt{6 x + 7} = 7$
112082	Solve by Factoring	square root of 6x+7-x=2	$\sqrt{6 x + 7} - x = 2$
112083	Solve by Factoring	square root of 6x-9=x	$\sqrt{6 x - 9} = x$
112084	Solve by Factoring	square root of 64x=x+12	$\sqrt{64 x} = x + 12$
112085	Solve by Completing the Square	4n^2-5n-8=12	$4 n^{2} - 5 n - 8 = 12$
112086	Solve by Factoring	square root of 6x+1=5	$\sqrt{6 x + 1} = 5$
112087	Solve by Completing the Square	6n^2-5n-12=18	$6 n^{2} - 5 n - 12 = 18$
112088	Solve by Factoring	square root of 6-x=x	$\sqrt{6 - x} = x$
112089	Solve by Factoring	square root of 5x+4=3	$\sqrt{5 x + 4} = 3$
112090	Find the Roots (Zeros)	x^4+x^3-15x^2-16x-16	$x^{4} + x^{3} - 15 x^{2} - 16 x - 16$
112091	Solve by Factoring	square root of 5x+46=x+8	$\sqrt{5 x + 46} = x + 8$
112092	Solve by Factoring	square root of 4x+37=x+8	$\sqrt{4 x + 37} = x + 8$
112093	Solve by Factoring	square root of 4x+1=5	$\sqrt{4 x + 1} = 5$
112094	Find the Maximum/Minimum Value	f(x)=-2x^2+4x-8	$f (x) = - 2 x^{2} + 4 x - 8$
112095	Solve by Factoring	square root of 4x-5-1=0	$\sqrt{4 x - 5} - 1 = 0$
112096	Find the Maximum/Minimum Value	A(w)=-(w-25)^2+625	$A (w) = - {(w - 25)}^{2} + 625$
112097	Solve by Factoring	square root of 4y+24- square root of y-3=6	$\sqrt{4 y + 24} - \sqrt{y - 3} = 6$
112098	Solve by Factoring	square root of 5-x- square root of x=1	$\sqrt{5 - x} - \sqrt{x} = 1$
112099	Find the Vertex	f(x)=-5x^2+4x+1	$f (x) = - 5 x^{2} + 4 x + 1$
112100	Solve by Factoring	square root of 5-2x+5=12	$\sqrt{5 - 2 x} + 5 = 12$