Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
117701	Rationalize the Denominator	1/( square root of 13z)	$\frac{1}{\sqrt{13 z}}$
117702	Find the Symmetry	x^2y^2+xy=-3	$x^{2} y^{2} + x y = - 3$
117703	Find the Symmetry	x^2y^2+xy=5	$x^{2} y^{2} + x y = 5$
117704	Find the Roots (Zeros)	x^5-5x^4-8x^3+40x^2-9x+45=0	$x^{5} - 5 x^{4} - 8 x^{3} + 40 x^{2} - 9 x + 45 = 0$
117705	Find the Roots (Zeros)	6x^2+1=487	$6 x^{2} + 1 = 487$
117706	Find the Roots (Zeros)	3x^3-x^2-21x+7=0	$3 x^{3} - x^{2} - 21 x + 7 = 0$
117707	Find the Roots (Zeros)	y=(x+2)(x-5)(x-7)	$y = (x + 2) (x - 5) (x - 7)$
117708	Find the Roots (Zeros)	3x^2+x=14	$3 x^{2} + x = 14$
117709	Find the Roots (Zeros)	2x^4-11x^3+24x^2-66x+72=0	$2 x^{4} - 11 x^{3} + 24 x^{2} - 66 x + 72 = 0$
117710	Find the Roots (Zeros)	-x^3+5x^2-11x+55=0	$- x^{3} + 5 x^{2} - 11 x + 55 = 0$
117711	Find the Roots (Zeros)	y=x^4-8x^3+16x^2	$y = x^{4} - 8 x^{3} + 16 x^{2}$
117712	Find the Roots (Zeros)	3x^2+4=436	$3 x^{2} + 4 = 436$
117713	Find the Vertex	3x^2-18x+y-5=0	$3 x^{2} - 18 x + y - 5 = 0$
117714	Find the Vertex	y=x^2+8x+28	$y = x^{2} + 8 x + 28$
117715	Identify the Zeros and Their Multiplicities	y=3x(x+2)^3	$y = 3 x {(x + 2)}^{3}$
117716	Identify the Zeros and Their Multiplicities	x^3-34x^2+289x	$x^{3} - 34 x^{2} + 289 x$
117717	Identify the Zeros and Their Multiplicities	x^3-28x^2+196x	$x^{3} - 28 x^{2} + 196 x$
117718	Convert to Scientific Notation	0.00045	$0.00045$
117719	Convert to Scientific Notation	4900	$4900$
117720	Convert to Scientific Notation	420 , 0	$420$ , $0$
117721	Convert to Scientific Notation	900000	$900000$
117722	Convert to Scientific Notation	36.41	$36.41$
117723	Convert to Scientific Notation	130 , 0 , 0	$130$ , $0$ , $0$
117724	Convert to Scientific Notation	0.0000835	$0.0000835$
117725	Convert to Scientific Notation	40000000	$40000000$
117726	Convert to Scientific Notation	30000000	$30000000$
117727	Convert to Scientific Notation	4900	$4900$
117728	Write the Fraction in Simplest Form	((3^-6)/(7^-3))^5	${(\frac{3^{- 6}}{7^{- 3}})}^{5}$
117729	Find the Domain and Range	(2x^2+10x-12)/(x^2+x-6)	$\frac{2 x^{2} + 10 x - 12}{x^{2} + x - 6}$
117730	Find the Domain and Range	log base 3 of x-4	$\log_{3} (x - 4)$
117731	Find the Difference Quotient	f(x)=-6x+7	$f (x) = - 6 x + 7$
117732	Convert to Logarithmic Form	6=216^(1/3)	$6 = 216^{\frac{1}{3}}$
117733	Convert to Logarithmic Form	10^0.4771=3	$10^{0.4771} = 3$
117734	Convert to Logarithmic Form	y=3^5	$y = 3^{5}$
117735	Convert to Logarithmic Form	4=256^(1/4)	$4 = 256^{\frac{1}{4}}$
117736	Convert to a Percentage	0.022	$0.022$
117737	Determine if Rational	-0.28764	$- 0.28764$
117738	Determine if Rational	-9pi	$- 9 π$
117739	Determine if Rational	0.5555	$0.5555$
117740	Write in Standard Form	(9-9i)/(5+3i)	$\frac{9 - 9 i}{5 + 3 i}$
117741	Write in Standard Form	x^2+y^2-2x-4y+3	$x^{2} + y^{2} - 2 x - 4 y + 3$
117742	Write in Standard Form	-9i^3+i^2	$- 9 i^{3} + i^{2}$
117743	Write in Standard Form	(-3c^4-5c^2-7c)+(4c^4+8c^3+2c^2)	$(- 3 c^{4} - 5 c^{2} - 7 c) + (4 c^{4} + 8 c^{3} + 2 c^{2})$
117744	Write in Standard Form	(1/3+( square root of 13)/6i)^2	${(\frac{1}{3} + \frac{\sqrt{13}}{6} i)}^{2}$
117745	Convert to a Simplified Fraction	0.416	$0.416$
117746	Solve by Factoring	4x^2=5x	$4 x^{2} = 5 x$
117747	Solve by Factoring	7x^2-6x+3=3	$7 x^{2} - 6 x + 3 = 3$
117748	Solve by Factoring	2x^2+17x+21=0	$2 x^{2} + 17 x + 21 = 0$
117749	Solve by Factoring	y^2=12y-36	$y^{2} = 12 y - 36$
117750	Solve by Factoring	x^2-22x=0	$x^{2} - 22 x = 0$
117751	Solve by Factoring	4x^2-20x=-25	$4 x^{2} - 20 x = - 25$
117752	Solve by Factoring	y^3-512=0	$y^{3} - 512 = 0$
117753	Solve by Factoring	x^2-13x+12=0	$x^{2} - 13 x + 12 = 0$
117754	Solve by Factoring	x^2-26x=0	$x^{2} - 26 x = 0$
117755	Find the Leading Coefficient	8d-2-4d^3	$8 d - 2 - 4 d^{3}$
117756	Find the Domain	y = square root of 18-x	$y = \sqrt{18 - x}$
117757	Reduce the Fraction	6/45	$\frac{6}{45}$
117758	Reduce the Fraction	20/21	$\frac{20}{21}$
117759	Solve for x	-2pi<=x<=2pi	$- 2 π \leq x \leq 2 π$
117760	Solve by Graphing	-x^2-10x-16=0	$- x^{2} - 10 x - 16 = 0$
117761	Find the Vertex	0.5(x+4)^2+1	$0.5 {(x + 4)}^{2} + 1$
117762	Solve the System of @WORD	log base 4 of b>1/2	$\log_{4} (b) > \frac{1}{2}$
117763	Solve by Completing the Square	3x^2+15x-3=0	$3 x^{2} + 15 x - 3 = 0$
117764	Solve by Completing the Square	x^2-1/4x-35/64=0	$x^{2} - \frac{1}{4} x - \frac{35}{64} = 0$
117765	Solve by Completing the Square	-9x^2+18x=16	$- 9 x^{2} + 18 x = 16$
117766	Solve by Completing the Square	x^2-12x-5=7	$x^{2} - 12 x - 5 = 7$
117767	Solve by Completing the Square	2x^2-8x-9=0	$2 x^{2} - 8 x - 9 = 0$
117768	Solve by Completing the Square	3x^2-6x-45=0	$3 x^{2} - 6 x - 45 = 0$
117769	Convert from Interval to Inequality	[-6,infinity)	$[- 6, \infty)$
117770	Find Amplitude, Period, and Phase Shift	y=-6sin(4x+pi/2)	$y = - 6 \sin (4 x + \frac{π}{2})$
117771	Divide Using Long Polynomial Division	(7x+3)÷(x+2)	$(7 x + 3) \div (x + 2)$
117772	Find the Degree	-1/4abc+2b^2	$- \frac{1}{4} a b c + 2 b^{2}$
117773	Find the Reference Angle	-(11pi)/18	$- \frac{11 π}{18}$
117774	Find the Domain and Range	y=11 root of x	$y = \sqrt[11]{x}$
117775	Find the Domain and Range	y=- square root of 16-x^2	$y = - \sqrt{16 - x^{2}}$
117776	Find the Domain and Range	y=-4tan(x)	$y = - 4 \tan (x)$
117777	Find the Domain and Range	y=-2 cube root of x	$y = - 2 \sqrt[3]{x}$
117778	Find the Maximum/Minimum Value	100x^2-1500x	$100 x^{2} - 1500 x$
117779	Find the Maximum/Minimum Value	112t-16t^2	$112 t - 16 t^{2}$
117780	Find the LCM	5y^2-80 , y+4	$5 y^{2} - 80$ , $y + 4$
117781	Find the LCM	x^3-x^2+x-1 , x^2-1	$x^{3} - x^{2} + x - 1$ , $x^{2} - 1$
117782	Complete the Square	x^2+6x+20	$x^{2} + 6 x + 20$
117783	Find the Asymptotes	y=e^(x-3)+4	$y = e^{x - 3} + 4$
117784	Find the Asymptotes	y=5^(-x)+1	$y = 5^{- x} + 1$
117785	Find the Asymptotes	y=((x-2)(x-1))/(x-2)	$y = \frac{(x - 2) (x - 1)}{x - 2}$
117786	Find the Asymptotes	y=6/(x^2-9)	$y = \frac{6}{x^{2} - 9}$
117787	Describe the Transformation	f(x)=4(x+9)^2	$f (x) = 4 {(x + 9)}^{2}$
117788	Describe the Transformation	h(x)=\|x\|+3	$h (x) = \| x \| + 3$
117789	Describe the Transformation	f(x)=(5(x-1))^3-2	$f (x) = {(5 (x - 1))}^{3} - 2$
117790	Find the Slope and y-intercept	-12x-3y=-9	$- 12 x - 3 y = - 9$
117791	Find the Slope and y-intercept	-4x-5y=10	$- 4 x - 5 y = 10$
117792	Find the Slope and y-intercept	6x-y=-1	$6 x - y = - 1$
117793	Find the Slope and y-intercept	8x-4y=-7	$8 x - 4 y = - 7$
117794	Find the Slope and y-intercept	y=-3/5x+2	$y = \frac{- 3}{5} x + 2$
117795	Find the Slope and y-intercept	y=-3/2x-2	$y = \frac{- 3}{2} x - 2$
117796	Find the Slope and y-intercept	3y-12x+6=0	$3 y - 12 x + 6 = 0$
117797	Find the Slope and y-intercept	y=5-4x	$y = 5 - 4 x$
117798	Find the Inverse	32/(x+3)	$\frac{32}{x + 3}$
117799	Find the Inverse	fifth root of 8-x+3	$\sqrt[5]{8 - x} + 3$
117800	Find the Inverse	natural log of x-5	$\ln (x - 5)$