Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
117801	Find the Discriminant	y^2+6y+9=0	$y^{2} + 6 y + 9 = 0$
117802	Determine if True	log of 12 = log of 4+ log of 3	$\log (12) = \log (4) + \log (3)$
117803	Determine if True	4^3*4^7=4^(3+7)	$4^{3} \cdot 4^{7} = 4^{3 + 7}$
117804	Find the Inverse	y = log base 0.5 of x	$y = \log_{0.5} (x)$
117805	Find the Inverse	y=2(x-1)^3	$y = 2 {(x - 1)}^{3}$
117806	Find the Symmetry	x^2y^2+xy=-1	$x^{2} y^{2} + x y = - 1$
117807	Find the Symmetry	x^2y^2+xy=2	$x^{2} y^{2} + x y = 2$
117808	Find the Symmetry	xy=-1	$x y = - 1$
117809	Rationalize the Denominator	5/(7+2 square root of 5)	$\frac{5}{7 + 2 \sqrt{5}}$
117810	Rationalize the Denominator	5/(7-2 square root of 5)	$\frac{5}{7 - 2 \sqrt{5}}$
117811	Divide Using Synthetic Division	(x^4-256)/(x+4)	$\frac{x^{4} - 256}{x + 4}$
117812	Divide Using Synthetic Division	(x^3-4x^2+x+6)/(x+1)	$\frac{(x^{3} - 4 x^{2} + x + 6)}{x + 1}$
117813	Find the Maximum/Minimum Value	h(t)=-4.9t^2+34.3t+1	$h (t) = - 4.9 t^{2} + 34.3 t + 1$
117814	Find the Maximum/Minimum Value	f(x)=2x^2-4x-5	$f (x) = 2 x^{2} - 4 x - 5$
117815	Find the Maximum/Minimum Value	f(x)=2x^2-12x-7	$f (x) = 2 x^{2} - 12 x - 7$
117816	Find the Maximum/Minimum Value	f(x)=3x^2-30x-6	$f (x) = 3 x^{2} - 30 x - 6$
117817	Find the Maximum/Minimum Value	f(x)=-0.2x^2+1.7x+6	$f (x) = - 0.2 x^{2} + 1.7 x + 6$
117818	Find the Maximum/Minimum Value	f(x)=3x^2-12x-2	$f (x) = 3 x^{2} - 12 x - 2$
117819	Find the GCF	6z^5-30z^4+10z^3	$6 z^{5} - 30 z^{4} + 10 z^{3}$
117820	Find the GCF	4p^3+12p^2-18p	$4 p^{3} + 12 p^{2} - 18 p$
117821	Find the GCF	10z^4-30z^3+6z^2	$10 z^{4} - 30 z^{3} + 6 z^{2}$
117822	Find the GCF	2a^4+8a	$2 a^{4} + 8 a$
117823	Find the GCF	-5x^2-5x^3-15x^4	$- 5 x^{2} - 5 x^{3} - 15 x^{4}$
117824	Find the GCF	20x^4-30x+30	$20 x^{4} - 30 x + 30$
117825	Find the GCF	3x^3a+3x^2a^2	$3 x^{3} a + 3 x^{2} a^{2}$
117826	Solve by Graphing	y=4x+3 y=-x-2	$y = 4 x + 3$ $y = - x - 2$
117827	Convert to an Improper Fraction	4 8/9	$4 \frac{8}{9}$
117828	Convert to an Improper Fraction	2 8/9	$2 \frac{8}{9}$
117829	Convert to an Improper Fraction	4 5/9	$4 \frac{5}{9}$
117830	Convert to an Improper Fraction	7 3/5	$7 \frac{3}{5}$
117831	Factor by Grouping	5x^3+7x^2+10x+14	$5 x^{3} + 7 x^{2} + 10 x + 14$
117832	Factor by Grouping	x^3-6x^2+6x-36	$x^{3} - 6 x^{2} + 6 x - 36$
117833	Factor by Grouping	x^3-6x^2+8x-48	$x^{3} - 6 x^{2} + 8 x - 48$
117834	Factor by Grouping	24x^3-64x^2-21x+56	$24 x^{3} - 64 x^{2} - 21 x + 56$
117835	Factor by Grouping	2x^3-6x^2+5x-15	$2 x^{3} - 6 x^{2} + 5 x - 15$
117836	Factor by Grouping	x^3+4x^2-7x-28	$x^{3} + 4 x^{2} - 7 x - 28$
117837	Factor by Grouping	3x^2-3x+5xy-5y	$3 x^{2} - 3 x + 5 x y - 5 y$
117838	Factor by Grouping	4x^3-x^2+20x-5	$4 x^{3} - x^{2} + 20 x - 5$
117839	Find All Complex Solutions	6x^5+x^4-3=0	$6 x^{5} + x^{4} - 3 = 0$
117840	Find All Complex Solutions	cos(2x)=( square root of 3)/2	$\cos (2 x) = \frac{\sqrt{3}}{2}$
117841	Identify the Sequence	7 , 10 , 13 , 16	$7$ , $10$ , $13$ , $16$
117842	Identify the Sequence	9 , 18 , 27	$9$ , $18$ , $27$
117843	Find the Slope	2y=5x+4	$2 y = 5 x + 4$
117844	Find the Slope	3y=-7x	$3 y = - 7 x$
117845	Find the Slope	4y=9	$4 y = 9$
117846	Find the Slope	(-6,-5) , (4,4)	$(- 6, - 5) (4, 4)$
117847	Find the Slope	(6,-10) , (-15,15)	$(6, - 10)$ , $(- 15, 15)$
117848	Solve Using the Square Root Property	(3x+2)^2=100	${(3 x + 2)}^{2} = 100$
117849	Solve Using the Square Root Property	(x-4)^2=5	${(x - 4)}^{2} = 5$
117850	Solve Using the Square Root Property	5(x+3)^2=90	$5 {(x + 3)}^{2} = 90$
117851	Solve Using the Square Root Property	(x-5)^2=6	${(x - 5)}^{2} = 6$
117852	Solve Using the Square Root Property	x^2=150	$x^{2} = 150$
117853	Convert to a Mixed Number	58/7	$\frac{58}{7}$
117854	Evaluate Using Scientific Notation	(6.4710^-15)/(3.3610^-29)	$\frac{6.47 \cdot 10^{- 15}}{3.36 \cdot 10^{- 29}}$
117855	Identify the Zeros and Their Multiplicities	f(x)=x^4-16x^3+64x^2	$f (x) = x^{4} - 16 x^{3} + 64 x^{2}$
117856	Identify the Zeros and Their Multiplicities	f(x)=x^4-18x^2+32	$f (x) = x^{4} - 18 x^{2} + 32$
117857	Identify the Zeros and Their Multiplicities	f(x)=-8x^3-20x^2	$f (x) = - 8 x^{3} - 20 x^{2}$
117858	Find the Vertex	y=5x^2+10x+12	$y = 5 x^{2} + 10 x + 12$
117859	Find the Vertex	y=5x^2+20x+7	$y = 5 x^{2} + 20 x + 7$
117860	Find the Vertex	y=x^2+5x+7	$y = x^{2} + 5 x + 7$
117861	Find the Vertex	y=-2(x-1)^2+2	$y = - 2 {(x - 1)}^{2} + 2$
117862	Find the Vertex	y=24x-4x^2	$y = 24 x - 4 x^{2}$
117863	Find the Roots (Zeros)	y=-6(x-5)^2+12	$y = - 6 {(x - 5)}^{2} + 12$
117864	Find the Roots (Zeros)	y=(x+3)(x-5)(x-7)	$y = (x + 3) (x - 5) (x - 7)$
117865	Find the Roots (Zeros)	y=(x+4)(x-5)(x-7)	$y = (x + 4) (x - 5) (x - 7)$
117866	Find the Roots (Zeros)	28x^3+88x^2-37x-7=0	$28 x^{3} + 88 x^{2} - 37 x - 7 = 0$
117867	Find the Roots (Zeros)	2x^4-5x^3-17x^2+41x-21=0	$2 x^{4} - 5 x^{3} - 17 x^{2} + 41 x - 21 = 0$
117868	Find the Roots (Zeros)	5x^2+3=83	$5 x^{2} + 3 = 83$
117869	Find the Roots (Zeros)	x^2+7=43	$x^{2} + 7 = 43$
117870	Find the Roots (Zeros)	x^3+3x^2-13x-15=0	$x^{3} + 3 x^{2} - 13 x - 15 = 0$
117871	Find the Roots (Zeros)	y=-9x-1	$y = - 9 x - 1$
117872	Convert from Radians to Degrees	arccos(12/13)	$\arccos (\frac{12}{13})$
117873	Convert from Degrees to Radians	-290	$- 290$
117874	Convert to Scientific Notation	0.00671	$0.00671$
117875	Convert to Scientific Notation	5000000000	$5000000000$
117876	Convert to Scientific Notation	24000	$24000$
117877	Find the Distance Between Two Points	(2,-1) , (-3,4)	$(2, - 1) (- 3, 4)$
117878	Find the Domain and Range	y=(x^2-9)/(x-3)	$y = \frac{x^{2} - 9}{x - 3}$
117879	Find the Domain and Range	y=5/(x-1)	$y = \frac{5}{x - 1}$
117880	Find the Domain and Range	y=- square root of 81-x^2	$y = - \sqrt{81 - x^{2}}$
117881	Find the Domain and Range	y=3sec(x)	$y = 3 \sec (x)$
117882	Find the Domain and Range	y=3 square root of x+4-2	$y = 3 \sqrt{x + 4} - 2$
117883	Find the Domain and Range	y=arcsec(x)	$y = arcsec (x)$
117884	Find the Domain and Range	y=arccos(x)	$y = \arccos (x)$
117885	Find the Domain and Range	5y-4x=0	$5 y - 4 x = 0$
117886	Convert to Logarithmic Form	7^x=24	$7^{x} = 24$
117887	Convert to Logarithmic Form	2^(4x)=14	$2^{4 x} = 14$
117888	Convert to Logarithmic Form	7^(2x)+7^x-6=0	$7^{2 x} + 7^{x} - 6 = 0$
117889	Find the Vertex Form	y=2x^2+16x+29	$y = 2 x^{2} + 16 x + 29$
117890	Convert to Logarithmic Form	13^-2=1/169	$13^{- 2} = \frac{1}{169}$
117891	Find the Domain and Range	square root of x-2+3	$\sqrt{x - 2} + 3$
117892	Find the Domain and Range	2+ natural log of x	$2 + \ln (x)$
117893	Find the Domain and Range	square root of x-2+1	$\sqrt{x - 2} + 1$
117894	Find the Domain and Range	natural log of \|x\|	$\ln (\| x \|)$
117895	Find dx/dy	tan(x-y)=y/(1+x^2)	$\tan (x - y) = \frac{y}{1 + x^{2}}$
117896	Convert to a Percentage	44/25	$\frac{44}{25}$
117897	Solve by Factoring	x^2+7x=3x	$x^{2} + 7 x = 3 x$
117898	Solve by Factoring	9x^2-10x=x^2+4x	$9 x^{2} - 10 x = x^{2} + 4 x$
117899	Solve by Factoring	x^2+2x-4=2x	$x^{2} + 2 x - 4 = 2 x$
117900	Solve by Factoring	x^2-61=20	$x^{2} - 61 = 20$