Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
118201	Find the Roots (Zeros)	1/2x(x-7)(x+9)=0	$\frac{1}{2} x (x - 7) (x + 9) = 0$
118202	Find the Roots (Zeros)	2x^4-9x^3+21x^2-54x+54=0	$2 x^{4} - 9 x^{3} + 21 x^{2} - 54 x + 54 = 0$
118203	Find the Roots (Zeros)	-4x^4-44x^2+3600=0	$- 4 x^{4} - 44 x^{2} + 3600 = 0$
118204	Find the Roots (Zeros)	5x^3=1080	$5 x^{3} = 1080$
118205	Find the Roots (Zeros)	x^4+125x=0	$x^{4} + 125 x = 0$
118206	Find the Roots (Zeros)	x^3-4x^2+9x-36=0	$x^{3} - 4 x^{2} + 9 x - 36 = 0$
118207	Find the Roots (Zeros)	x^4+3x^3-4x^2+2x=0	$x^{4} + 3 x^{3} - 4 x^{2} + 2 x = 0$
118208	Evaluate Using Scientific Notation	(810^24)/(210^18)	$\frac{8 \cdot 10^{24}}{2 \cdot 10^{18}}$
118209	Evaluate Using Scientific Notation	(3.8*10^9)/400	$\frac{3.8 \cdot 10^{9}}{400}$
118210	Solve for x	3>1-x/2>-3	$3 > 1 - \frac{x}{2} > - 3$
118211	Reduce the Fraction	100/180	$\frac{100}{180}$
118212	Reduce the Fraction	110/360	$\frac{110}{360}$
118213	Convert from Radians to Degrees	(-3pi)/2	$\frac{- 3 π}{2}$
118214	Convert from Radians to Degrees	arcsin(5/13)	$\arcsin (\frac{5}{13})$
118215	Find the Distance Between Two Points	(3 square root of 3, square root of 5) , (- square root of 3,4 square root of 5)	$(3 \sqrt{3}, \sqrt{5}) (- \sqrt{3}, 4 \sqrt{5})$
118216	Find the Distance Between Two Points	(0,-4) , (7,3)	$(0, - 4) (7, 3)$
118217	Find a,b,c	4x^2-8x=3	$4 x^{2} - 8 x = 3$
118218	Find the Domain and Range	-x^3+8x^2-15x	$- x^{3} + 8 x^{2} - 15 x$
118219	Find the Domain and Range	1/2 log of 3x	$\frac{1}{2} \log (3 x)$
118220	Find the Domain and Range	square root of x-7	$\sqrt{x} - 7$
118221	Find the Domain and Range	(5x)/(x-1)	$\frac{5 x}{x - 1}$
118222	Convert to a Percentage	68/80	$\frac{68}{80}$
118223	Convert to a Percentage	44/80	$\frac{44}{80}$
118224	Convert to a Percentage	43/25	$\frac{43}{25}$
118225	Convert to a Percentage	16/80	$\frac{16}{80}$
118226	Find the Domain and Range	y=-16/x	$y = - \frac{16}{x}$
118227	Find the Domain and Range	x^2+9y^2=25	$x^{2} + 9 y^{2} = 25$
118228	Find the Domain and Range	y=6/(x+4)-7	$y = \frac{6}{x + 4} - 7$
118229	Find the Domain and Range	y=-4cos(x)	$y = - 4 \cos (x)$
118230	Find the Domain and Range	y=tan(pi/3x)	$y = \tan (\frac{π}{3} x)$
118231	Convert to Scientific Notation	0.000368	$0.000368$
118232	Convert to Scientific Notation	0.0000475	$0.0000475$
118233	Convert to Scientific Notation	22000	$22000$
118234	Convert to Scientific Notation	0.000085	$0.000085$
118235	Convert to Scientific Notation	1.210^-1+6.010^-2	$1.2 \cdot 10^{- 1} + 6 \cdot 10^{- 2}$
118236	Convert to Scientific Notation	0.0000957	$0.0000957$
118237	Convert to Scientific Notation	(6.4710^-15)/(3.3610^-29)	$\frac{6.47 \cdot 10^{- 15}}{3.36 \cdot 10^{- 29}}$
118238	Convert to Scientific Notation	(810^7)/(510^5)	$\frac{8 \cdot 10^{7}}{5 \cdot 10^{5}}$
118239	Find the Difference Quotient	f(x)=-2x^2+2x-2	$f (x) = - 2 x^{2} + 2 x - 2$
118240	Find the Difference Quotient	f(x)=-5x+9	$f (x) = - 5 x + 9$
118241	Find the Difference Quotient	f(x)=-5x+8	$f (x) = - 5 x + 8$
118242	Convert to Logarithmic Form	e^-1=0.368	$e^{- 1} = 0.368$
118243	Convert to Logarithmic Form	x^y=178	$x^{y} = 178$
118244	Convert to Logarithmic Form	3=27^(1/3)	$3 = 27^{\frac{1}{3}}$
118245	Find the Vertex Form	y=x^2-5x-11	$y = x^{2} - 5 x - 11$
118246	Find the Vertex Form	x=y^2-4y+4	$x = y^{2} - 4 y + 4$
118247	Find the Vertex Form	y=-5x^2+x+1	$y = - 5 x^{2} + x + 1$
118248	Convert to Logarithmic Form	-100*2^(0.5y)=-5	$- 100 \cdot 2^{0.5 y} = - 5$
118249	Find df/dr	f=(GMm)/(r^2)	$f = \frac{G M m}{r^{2}}$
118250	Find dF/dG	F=(GmM)/(r^2)	$F = \frac{G m M}{r^{2}}$
118251	Solve by Graphing	-x^2-12x-27=0	$- x^{2} - 12 x - 27 = 0$
118252	Solve by Factoring	3x(x-2)=6x^2-7x	$3 x (x - 2) = 6 x^{2} - 7 x$
118253	Solve by Factoring	3x^2+300=0	$3 x^{2} + 300 = 0$
118254	Solve by Factoring	x(3x+16)=12	$x (3 x + 16) = 12$
118255	Solve by Factoring	15x^2-3x=3-7x	$15 x^{2} - 3 x = 3 - 7 x$
118256	Solve by Factoring	3x^2+13x-38=0	$3 x^{2} + 13 x - 38 = 0$
118257	Solve by Factoring	x^2-4x=77	$x^{2} - 4 x = 77$
118258	Solve by Factoring	log base 2 of 2x^3-8-2 log base 2 of x = log base 2 of x	$\log_{2} (2 x^{3} - 8) - 2 \log_{2} (x) = \log_{2} (x)$
118259	Solve by Factoring	12x^2+13x=5x	$12 x^{2} + 13 x = 5 x$
118260	Solve by Factoring	x^3-4x^2-16x+64=0	$x^{3} - 4 x^{2} - 16 x + 64 = 0$
118261	Solve by Factoring	25x^2+1=10	$25 x^{2} + 1 = 10$
118262	Solve by Factoring	y^3-64=0	$y^{3} - 64 = 0$
118263	Write in Standard Form	5x^4+8x^5-2x+3	$5 x^{4} + 8 x^{5} - 2 x + 3$
118264	Write in Standard Form	(9+m)(-m+9)	$(9 + m) (- m + 9)$
118265	Write in Standard Form	-2q+7	$- 2 q + 7$
118266	Write in Standard Form	(6+12i)/(2i)	$\frac{6 + 12 i}{2 i}$
118267	Write in Standard Form	10x-7+x^4+4x^3	$10 x - 7 + x^{4} + 4 x^{3}$
118268	Write in Standard Form	(6+ square root of -48)/2	$\frac{6 + \sqrt{- 48}}{2}$
118269	Solve by Factoring	6x^2=48x	$6 x^{2} = 48 x$
118270	Solve by Factoring	x^3+6x^2-16x-96=0	$x^{3} + 6 x^{2} - 16 x - 96 = 0$
118271	Write in Standard Form	(-x^3+26x^2-7x-13)+(6x^4-x^3+8x+27)	$(- x^{3} + 26 x^{2} - 7 x - 13) + (6 x^{4} - x^{3} + 8 x + 27)$
118272	Write in Standard Form	12x^2+6-7x^5+3x^3+7x^4-5x	$12 x^{2} + 6 - 7 x^{5} + 3 x^{3} + 7 x^{4} - 5 x$
118273	Write in Standard Form	(3x^3+9x^2-2x)-(7x^3-6x^2+1)	$(3 x^{3} + 9 x^{2} - 2 x) - (7 x^{3} - 6 x^{2} + 1)$
118274	Convert to Regular Notation	0.9*10^-3	$0.9 \cdot 10^{- 3}$
118275	Convert to Regular Notation	4.39*10^-5	$4.39 \cdot 10^{- 5}$
118276	Convert to Regular Notation	2.01*10^-5	$2.01 \cdot 10^{- 5}$
118277	Convert to Regular Notation	6.8*10^-3	$6.8 \cdot 10^{- 3}$
118278	Convert to Regular Notation	4.91*10^11	$4.91 \cdot 10^{11}$
118279	Find the Asymptotes	y=1+ natural log of -x	$y = 1 + \ln (- x)$
118280	Find the Asymptotes	y=tan(x-pi/3)	$y = \tan (x - \frac{π}{3})$
118281	Expand the Trigonometric Expression	(5a+2)(a+4)	$(5 a + 2) (a + 4)$
118282	Write with Rational (Fractional) Exponents	fourth root of 16x^2y^6	$\sqrt[4]{16 x^{2} y^{6}}$
118283	Write with Rational (Fractional) Exponents	( fifth root of -21)^6	${(\sqrt[5]{- 21})}^{6}$
118284	Multiply the Matrices	-5[[-3,2,4],[1,0,6]]	$- 5 [\begin{array}{c} - 3 & 2 & 4 \\ 1 & 0 & 6 \end{array}]$
118285	Find All Complex Number Solutions	z=6.2+37i	$z = 6.2 + 37 i$
118286	Find Three Ordered Pair Solutions	7x-3y=11	$7 x - 3 y = 11$
118287	Find All Complex Solutions	tan(x)=0	$\tan (x) = 0$
118288	Find All Complex Solutions	sin(2x)=( square root of 3)/2	$\sin (2 x) = \frac{\sqrt{3}}{2}$
118289	Find All Complex Solutions	5y^2=18y-4	$5 y^{2} = 18 y - 4$
118290	Factor by Grouping	20x^2-25x-12x+15	$20 x^{2} - 25 x - 12 x + 15$
118291	Factor by Grouping	4w^3+3w^2+20w+15	$4 w^{3} + 3 w^{2} + 20 w + 15$
118292	Factor by Grouping	5x^3-x^2+10x-2	$5 x^{3} - x^{2} + 10 x - 2$
118293	Factor by Grouping	4y^3+3y^2+8y+6	$4 y^{3} + 3 y^{2} + 8 y + 6$
118294	Factor by Grouping	5v^3+3v^2+35v+21	$5 v^{3} + 3 v^{2} + 35 v + 21$
118295	Factor by Grouping	3x^2+15x+2x+10	$3 x^{2} + 15 x + 2 x + 10$
118296	Solve by Completing the Square	x^2-34x-4=0	$x^{2} - 34 x - 4 = 0$
118297	Solve by Completing the Square	y^2+6y+13=0	$y^{2} + 6 y + 13 = 0$
118298	Solve by Completing the Square	x^2+10x-96=0	$x^{2} + 10 x - 96 = 0$
118299	Solve by Completing the Square	5x^2+x-1/20=0	$5 x^{2} + x - \frac{1}{20} = 0$
118300	Solve by Completing the Square	5x^2=60-20x	$5 x^{2} = 60 - 20 x$