Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
19801	Solve by Completing the Square	x^2-18x=-80	$x^{2} - 18 x = - 80$
19802	Solve by Completing the Square	x^2-14x+36=0	$x^{2} - 14 x + 36 = 0$
19803	Solve by Completing the Square	x^2-10x+15=0	$x^{2} - 10 x + 15 = 0$
19804	Solve by Completing the Square	x^2+5x-6=0	$x^{2} + 5 x - 6 = 0$
19805	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^4-9x^2-4x+12	$f (x) = x^{4} - 9 x^{2} - 4 x + 12$
19806	Solve by Completing the Square	x^2+10x+21=0	$x^{2} + 10 x + 21 = 0$
19807	Multiply	8*4	$8 \cdot 4$
19808	Solve by Factoring	n^3-7n^2-n+7=0	$n^{3} - 7 n^{2} - n + 7 = 0$
19809	Solve by Factoring	square root of 2x=4	$\sqrt{2 x} = 4$
19810	Solve by Factoring	square root of 12-4x=x	$\sqrt{12 - 4 x} = x$
19811	Solve by Factoring	64/(x^2-16)+1=(2x)/(x-4)	$\frac{64}{x^{2} - 16} + 1 = \frac{2 x}{x - 4}$
19812	Solve by Factoring	(6x)/(x-6)=9+(7x^2)/(x-6)	$\frac{6 x}{x - 6} = 9 + \frac{7 x^{2}}{x - 6}$
19813	Find the Range	f(x)=-x+3 if x<1; 3x-1 if x>=1	$f (x) = {\begin{cases} - x + 3 & x < 1 \\ 3 x - 1 & x \geq 1 \end{cases}$
19814	Solve by Factoring	1/(6k^2)=1/(3k^2)-1/k	$\frac{1}{6 k^{2}} = \frac{1}{3 k^{2}} - \frac{1}{k}$
19815	Solve by Factoring	z^4-13z^2+36=0	$z^{4} - 13 z^{2} + 36 = 0$
19816	Solve by Factoring	x^4+2x^2-3=0	$x^{4} + 2 x^{2} - 3 = 0$
19817	Solve by Factoring	x^4-2x^2-35=0	$x^{4} - 2 x^{2} - 35 = 0$
19818	Solve by Factoring	2x^2-9x-5=0	$2 x^{2} - 9 x - 5 = 0$
19819	Solve by Factoring	16x^4-41x^2+25=0	$16 x^{4} - 41 x^{2} + 25 = 0$
19820	Solve in Terms of the Arbitrary Variable S	T=(8R)/(S+U)	$T = \frac{8 R}{S + U}$
19821	Solve in Terms of the Arbitrary Variable U	T=(8R)/(S+U)	$T = \frac{8 R}{S + U}$
19822	Solve by Factoring	x^2-7x-8=0	$x^{2} - 7 x - 8 = 0$
19823	Solve by Factoring	x^2-6x-16=0	$x^{2} - 6 x - 16 = 0$
19824	Solve by Factoring	x^2-3x=28	$x^{2} - 3 x = 28$
19825	Solve by Factoring	x^2+7x-18=0	$x^{2} + 7 x - 18 = 0$
19826	Solve by Factoring	x^2+x-2=0	$x^{2} + x - 2 = 0$
19827	Solve in Terms of the Arbitrary Variable a	a_n=3n-5	$a_{n} = 3 n - 5$
19828	Write as an Equation	P(x)=2x^2-3x+1	$P (x) = 2 x^{2} - 3 x + 1$
19829	Solve by Factoring	x^(1/4)=3	$x^{\frac{1}{4}} = 3$
19830	Write as an Equation	f(x)=3x+ square root of 4-2	$f (x) = 3 x + \sqrt{4} - 2$
19831	Solve by Factoring	fifth root of x^2+2x=-1	$\sqrt[5]{x^{2} + 2 x} = - 1$
19832	Solve by Factoring	cube root of 7x-1=-2	$\sqrt[3]{7 x - 1} = - 2$
19833	Solve by Factoring	square root of 3x-5-4=0	$\sqrt{3 x - 5} - 4 = 0$
19834	Find the Maximum/Minimum Value	-x^2+4x-8	$- x^{2} + 4 x - 8$
19835	Solve by Factoring	square root of 4x-3=5	$\sqrt{4 x - 3} = 5$
19836	Find the Maximum/Minimum Value	-1/4x^2+2x-3	$- \frac{1}{4} x^{2} + 2 x - 3$
19837	Solve by Factoring	x^3-64x=0	$x^{3} - 64 x = 0$
19838	Find the Maximum/Minimum Value	60t-16t^2	$60 t - 16 t^{2}$
19839	Find the Maximum/Minimum Value	80x-16x^2	$80 x - 16 x^{2}$
19840	Find the Maximum/Minimum Value	3x^2-30x-9	$3 x^{2} - 30 x - 9$
19841	Solve Using the Quadratic Formula	(x^2)/4-x/2=1	$\frac{x^{2}}{4} - \frac{x}{2} = 1$
19842	Solve Using the Quadratic Formula	4/9w^2+1=5/3w	$\frac{4}{9} w^{2} + 1 = \frac{5}{3} w$
19843	Find the Maximum/Minimum Value	3x^2+6x-3	$3 x^{2} + 6 x - 3$
19844	Solve Using the Quadratic Formula	(x+4)(x-9)=4x	$(x + 4) (x - 9) = 4 x$
19845	Find the Maximum/Minimum Value	3x^2-18x-2	$3 x^{2} - 18 x - 2$
19846	Solve Using the Quadratic Formula	(x-3)(x+4)=8	$(x - 3) (x + 4) = 8$
19847	Find the Maximum/Minimum Value	3x^2-18x-5	$3 x^{2} - 18 x - 5$
19848	Find the Maximum/Minimum Value	3x^2-18x-7	$3 x^{2} - 18 x - 7$
19849	Find the x and y Intercepts	x-5y=5	$x - 5 y = 5$
19850	Find the Maximum/Minimum Value	3x^2-24x-6	$3 x^{2} - 24 x - 6$
19851	Find the x and y Intercepts	y=1/3x-2	$y = \frac{1}{3} x - 2$
19852	Find the Maximum/Minimum Value	3x^2-12x-7	$3 x^{2} - 12 x - 7$
19853	Find the x and y Intercepts	y=4x+1	$y = 4 x + 1$
19854	Find the Maximum/Minimum Value	3x^2+12x-2	$3 x^{2} + 12 x - 2$
19855	Find the x and y Intercepts	y=-3x+1	$y = - 3 x + 1$
19856	Find the Maximum/Minimum Value	-x^3+6x^2-9x-6	$- x^{3} + 6 x^{2} - 9 x - 6$
19857	Solve Using the Quadratic Formula	2x^2-4x+9=0	$2 x^{2} - 4 x + 9 = 0$
19858	Solve Using the Quadratic Formula	2x^2-4x+2=0	$2 x^{2} - 4 x + 2 = 0$
19859	Solve Using the Quadratic Formula	2x^2-3x-3=0	$2 x^{2} - 3 x - 3 = 0$
19860	Solve Using the Quadratic Formula	2x^2-3x-6=0	$2 x^{2} - 3 x - 6 = 0$
19861	Solve Using the Quadratic Formula	2x^2-8x-1=0	$2 x^{2} - 8 x - 1 = 0$
19862	Find the Maximum/Minimum Value	-2x^2+16x-35	$- 2 x^{2} + 16 x - 35$
19863	Solve Using the Quadratic Formula	2x^2-9x+10=0	$2 x^{2} - 9 x + 10 = 0$
19864	Solve Using the Quadratic Formula	2x^2-x+1=0	$2 x^{2} - x + 1 = 0$
19865	Find the Maximum/Minimum Value	2x^2+16x-6	$2 x^{2} + 16 x - 6$
19866	Solve Using the Quadratic Formula	2x^2-x-120=0	$2 x^{2} - x - 120 = 0$
19867	Find the Maximum/Minimum Value	-2x^2+20x-9	$- 2 x^{2} + 20 x - 9$
19868	Solve Using the Quadratic Formula	2x^2=7x-3	$2 x^{2} = 7 x - 3$
19869	Find the Maximum/Minimum Value	2x^2+12x-6	$2 x^{2} + 12 x - 6$
19870	Solve Using the Quadratic Formula	2x^2-20=0	$2 x^{2} - 20 = 0$
19871	Solve Using the Quadratic Formula	3x^2+6x+6=0	$3 x^{2} + 6 x + 6 = 0$
19872	Find the Maximum/Minimum Value	2x^2-8x-2	$2 x^{2} - 8 x - 2$
19873	Solve Using the Quadratic Formula	3x^2+6x=0	$3 x^{2} + 6 x = 0$
19874	Solve Using the Quadratic Formula	3x^2+4x-3=0	$3 x^{2} + 4 x - 3 = 0$
19875	Find the Maximum/Minimum Value	2x^2-20x-6	$2 x^{2} - 20 x - 6$
19876	Find the Maximum/Minimum Value	2x^2+8x-1	$2 x^{2} + 8 x - 1$
19877	Find the Maximum/Minimum Value	2x^2+4x-8	$2 x^{2} + 4 x - 8$
19878	Solve Using the Quadratic Formula	3x^2-2x=0	$3 x^{2} - 2 x = 0$
19879	Solve Using the Quadratic Formula	3x^2-13x+4=0	$3 x^{2} - 13 x + 4 = 0$
19880	Solve Using the Quadratic Formula	3x^2-8x-16=0	$3 x^{2} - 8 x - 16 = 0$
19881	Find the Determinant	[[-2,3,1],[5,6,7],[3,-2,1]]	$[\begin{array}{c} - 2 & 3 & 1 \\ 5 & 6 & 7 \\ 3 & - 2 & 1 \end{array}]$
19882	Solve Using the Quadratic Formula	3r^2-16r-7=5	$3 r^{2} - 16 r - 7 = 5$
19883	Find the Determinant	D=[[a,b],[c,d]]	$D = [\begin{array}{c} a & b \\ c & d \end{array}]$
19884	Solve Using the Quadratic Formula	288=-16t^2+144t	$288 = - 16 t^{2} + 144 t$
19885	Find the Determinant	[[9,-6,3],[0,8,4],[0,0,-8]]	$[\begin{array}{c} 9 & - 6 & 3 \\ 0 & 8 & 4 \\ 0 & 0 & - 8 \end{array}]$
19886	Solve Using the Quadratic Formula	x^2-x-8=0	$x^{2} - x - 8 = 0$
19887	Solve Using the Quadratic Formula	x^2-5x-9=0	$x^{2} - 5 x - 9 = 0$
19888	Solve Using the Quadratic Formula	x^2-4x=6	$x^{2} - 4 x = 6$
19889	Solve Using the Quadratic Formula	x^2-19x+90=0	$x^{2} - 19 x + 90 = 0$
19890	Find the Determinant	[[5,6],[1,9]]	$[\begin{array}{c} 5 & 6 \\ 1 & 9 \end{array}]$
19891	Find the Prime Factorization	174	$174$
19892	Solve Using the Quadratic Formula	11x^2+8x-3=0	$11 x^{2} + 8 x - 3 = 0$
19893	Find the Prime Factorization	184	$184$
19894	Solve Using the Quadratic Formula	0.7x-0.6x^2=-1	$0.7 x - 0.6 x^{2} = - 1$
19895	Find the Prime Factorization	1575	$1575$
19896	Find the Prime Factorization	285	$285$
19897	Solve Using the Quadratic Formula	x^2+(x+21)^2=51^2	$x^{2} + {(x + 21)}^{2} = 51^{2}$
19898	Find the Prime Factorization	308	$308$
19899	Solve Using the Quadratic Formula	x^2+13x+8=0	$x^{2} + 13 x + 8 = 0$
19900	Find the Prime Factorization	1001	$1001$