Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
118401	Find the Roots (Zeros)	3x^3-2x^2-21x+14=0	$3 x^{3} - 2 x^{2} - 21 x + 14 = 0$
118402	Find the Roots (Zeros)	cube root of x-5-2=0	$\sqrt[3]{x - 5} - 2 = 0$
118403	Find the Roots (Zeros)	-4x^2-7=-11	$- 4 x^{2} - 7 = - 11$
118404	Find the Roots (Zeros)	y=2x^3-8x^2+18x-72	$y = 2 x^{3} - 8 x^{2} + 18 x - 72$
118405	Find the Roots (Zeros)	y=-3tan(1/2x)	$y = - 3 \tan (\frac{1}{2} x)$
118406	Find the Vertex	y=2(x-4)^2+5	$y = 2 {(x - 4)}^{2} + 5$
118407	Find the Vertex	y=(x-5)^2+4	$y = {(x - 5)}^{2} + 4$
118408	Find the Vertex	y=(x-2)^2-6	$y = {(x - 2)}^{2} - 6$
118409	Find the Vertex	y=16x-4x^2	$y = 16 x - 4 x^{2}$
118410	Find the Vertex	y=-4(x+3)^2+2	$y = - 4 {(x + 3)}^{2} + 2$
118411	Find the Vertex	y=x^2-2x+11	$y = x^{2} - 2 x + 11$
118412	Find Amplitude, Period, and Phase Shift	y=-6sin(3x+pi/2)	$y = - 6 \sin (3 x + \frac{π}{2})$
118413	Write as a Function of x	x^2-6x=2x-4y	$x^{2} - 6 x = 2 x - 4 y$
118414	Reduce the Fraction	14/52	$\frac{14}{52}$
118415	Reduce the Fraction	105/180	$\frac{105}{180}$
118416	Reduce the Fraction	31/365	$\frac{31}{365}$
118417	Reduce the Fraction	715/270725	$\frac{715}{270725}$
118418	Reduce the Fraction	25/169	$\frac{25}{169}$
118419	Solve for x	6>1-x/2>-6	$6 > 1 - \frac{x}{2} > - 6$
118420	Find the Leading Coefficient	5z+2z^3+3z^4	$5 z + 2 z^{3} + 3 z^{4}$
118421	Convert to a Mixed Number	68/7	$\frac{68}{7}$
118422	Write the Fraction in Simplest Form	( fourth root of 4)/( fourth root of 27)	$\frac{\sqrt[4]{4}}{\sqrt[4]{27}}$
118423	Convert to Logarithmic Form	4^(-1/2)=1/2	$4^{- \frac{1}{2}} = \frac{1}{2}$
118424	Convert to Logarithmic Form	9^x+3^(1+2x)=40	$9^{x} + 3^{1 + 2 x} = 40$
118425	Convert to Logarithmic Form	12^3=1728	$12^{3} = 1728$
118426	Convert to Logarithmic Form	( log of t)/( log base 8 of t)	$\frac{\log (t)}{\log_{8} (t)}$
118427	Convert to Logarithmic Form	3=9^(1/2)	$3 = 9^{\frac{1}{2}}$
118428	Convert to Logarithmic Form	12^3=y	$12^{3} = y$
118429	Convert to Logarithmic Form	e^(7x)=2	$e^{7 x} = 2$
118430	Find the Difference Quotient	f(x) = square root of 5x	$f (x) = \sqrt{5 x}$
118431	Find the Vertex Form	y=x^2+14x+48	$y = x^{2} + 14 x + 48$
118432	Convert from Radians to Degrees	arctan(-( square root of 3)/3)	$\arctan (- \frac{\sqrt{3}}{3})$
118433	Convert to Scientific Notation	0.0024	$0.0024$
118434	Convert to Scientific Notation	0.000033	$0.000033$
118435	Convert to Scientific Notation	18000	$18000$
118436	Convert to Scientific Notation	6 , 0 , 0	$6$ , $0$ , $0$
118437	Convert to Scientific Notation	(6.110^-3)(810^9)	$(6.1 \cdot 10^{- 3}) (8 \cdot 10^{9})$
118438	Convert to Scientific Notation	1.410^8+9.410^6	$1.4 \cdot 10^{8} + 9.4 \cdot 10^{6}$
118439	Convert to Scientific Notation	1900000	$1900000$
118440	Convert to Scientific Notation	89000	$89000$
118441	Convert to Scientific Notation	0.00000000718	$0.00000000$
118442	Convert to a Percentage	48/50	$\frac{48}{50}$
118443	Convert to a Percentage	73/16	$\frac{73}{16}$
118444	Convert to a Percentage	1.0515	$1.0515$
118445	Determine if Rational	-3+pi	$- 3 + π$
118446	Reduce	(10 cube root of z)/(2z^2)	$\frac{10 \sqrt[3]{z}}{2 z^{2}}$
118447	Find Trig Functions Using Identities	cos(x)^2-sin(x)^2=1-2sin(x)^2	$\cos^{2} (x) - \sin^{2} (x) = 1 - 2 \sin^{2} (x)$
118448	Find the Domain and Range	y=1/3(8)^x	$y = \frac{1}{3} {(8)}^{x}$
118449	Find the Domain and Range	x^2+(y-1)^2=16	$x^{2} + {(y - 1)}^{2} = 16$
118450	Find the Domain and Range	y=2(x-2)^2-2	$y = 2 {(x - 2)}^{2} - 2$
118451	Find the Domain and Range	y=4e^(-2x)	$y = 4 e^{- 2 x}$
118452	Find the Domain and Range	y=-4sec(x)	$y = - 4 \sec (x)$
118453	Find the Domain and Range	y=csc(x)-1	$y = \csc (x) - 1$
118454	Find the Domain and Range	y=-2cos(x)	$y = - 2 \cos (x)$
118455	Find the Domain and Range	y=2tan(x)	$y = 2 \tan (x)$
118456	Identify the Sequence	36 , 6 , 1 , 1/6	$36$ , $6$ , $1$ , $\frac{1}{6}$
118457	Identify the Sequence	16 , 8 , 4 , 2	$16$ , $8$ , $4$ , $2$
118458	Identify the Sequence	5 , 3 , -1 , -7 , -15	$5$ , $3$ , $- 1$ , $- 7$ , $- 15$
118459	Find the Slope	3y=-6x	$3 y = - 6 x$
118460	Find the Slope	3y=2x-3	$3 y = 2 x - 3$
118461	Find the Slope	(12,2) , (-7,5)	$(12, 2)$ , $(- 7, 5)$
118462	Find the Slope	17x-12y=-36	$17 x - 12 y = - 36$
118463	Find the Slope	y=-9x+4	$y = - 9 x + 4$
118464	Find the Slope	5y=3x+2	$5 y = 3 x + 2$
118465	Find the Slope	y-9=15(x-5)	$y - 9 = 15 (x - 5)$
118466	Find the Slope	5x-6y-7=0	$5 x - 6 y - 7 = 0$
118467	Find the Slope	x=-11	$x = - 11$
118468	Solve Using the Square Root Property	1/2x^2-8=0	$\frac{1}{2} x^{2} - 8 = 0$
118469	Solve Using the Square Root Property	3(x+7)^2=54	$3 {(x + 7)}^{2} = 54$
118470	Solve Using the Square Root Property	2(x+7)^2=24	$2 {(x + 7)}^{2} = 24$
118471	Solve Using the Square Root Property	3(x+6)^2=36	$3 {(x + 6)}^{2} = 36$
118472	Solve Using the Square Root Property	2x^2+5=19	$2 x^{2} + 5 = 19$
118473	Factor by Grouping	5y-10+xy-2x	$5 y - 10 + x y - 2 x$
118474	Factor by Grouping	4x^3+7x^2+8x+14	$4 x^{3} + 7 x^{2} + 8 x + 14$
118475	Factor by Grouping	4y^3+7y^2+8y+14	$4 y^{3} + 7 y^{2} + 8 y + 14$
118476	Factor by Grouping	3y^3+2y^2+15y+10	$3 y^{3} + 2 y^{2} + 15 y + 10$
118477	Factor by Grouping	2w^3-w^2-18w+9	$2 w^{3} - w^{2} - 18 w + 9$
118478	Factor by Grouping	x^3+8x^2-2x-16	$x^{3} + 8 x^{2} - 2 x - 16$
118479	Factor by Grouping	x^3+4x^2-6x-24	$x^{3} + 4 x^{2} - 6 x - 24$
118480	Factor by Grouping	5x^3+2x^2+15x+6	$5 x^{3} + 2 x^{2} + 15 x + 6$
118481	Factor by Grouping	9b^3+3b^2+24b+8	$9 b^{3} + 3 b^{2} + 24 b + 8$
118482	Find All Complex Solutions	4cos(x)^2-1=0	$4 \cos^{2} (x) - 1 = 0$
118483	Find All Complex Solutions	sin(2x)=-1/2	$\sin (2 x) = - \frac{1}{2}$
118484	Find the Asymptotes	y=-14/x	$y = - \frac{14}{x}$
118485	Find the Asymptotes	y=(x^2-5x)/(x^2-x-2)	$y = \frac{x^{2} - 5 x}{x^{2} - x - 2}$
118486	Describe the Transformation	y=(x-2)^2-6	$y = {(x - 2)}^{2} - 6$
118487	Describe the Transformation	g(x)=x^3-7	$g (x) = x^{3} - 7$
118488	Describe the Transformation	g(x)=-1/5 square root of x	$g (x) = - \frac{1}{5} \sqrt{x}$
118489	Describe the Transformation	y=8^x-1	$y = 8^{x} - 1$
118490	Find the Asymptotes	y=(x+5)/(x-2)	$y = \frac{x + 5}{x - 2}$
118491	Find the Asymptotes	y=1/(x+2)-4	$y = \frac{1}{x + 2} - 4$
118492	Convert to Regular Notation	4.52*10^3	$4.52 \cdot 10^{3}$
118493	Convert to Regular Notation	5.89*10^-5	$5.89 \cdot 10^{- 5}$
118494	Convert to Regular Notation	2.03*10^3	$2.03 \cdot 10^{3}$
118495	Convert to Regular Notation	3.75*10^-2	$3.75 \cdot 10^{- 2}$
118496	Write in Standard Form	(8r^2-7r-9)+(-r^2+r)	$(8 r^{2} - 7 r - 9) + (- r^{2} + r)$
118497	Write in Standard Form	(-3y^2-5y-2)+(-7y^2+5y+2)	$(- 3 y^{2} - 5 y - 2) + (- 7 y^{2} + 5 y + 2)$
118498	Write in Standard Form	(-1+2p)(3-4p)	$(- 1 + 2 p) (3 - 4 p)$
118499	Write in Standard Form	(1/6+( square root of 19)/6i)^2	${(\frac{1}{6} + \frac{\sqrt{19}}{6} i)}^{2}$
118500	Write in Standard Form	(310^2)(1.510^-5)	$(3 \cdot 10^{2}) (1.5 \cdot 10^{- 5})$