Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
10001	Convert to Radical Form	k^(2/9)	$k^{\frac{2}{9}}$
10002	Graph	f(x)=x^2-8x+12	$f (x) = x^{2} - 8 x + 12$
10003	Divide Using Long Polynomial Division	(9x^4+3x^3y-5x^2y^2+xy^3)÷(3x^3+2x^2y-xy^2)	$(9 x^{4} + 3 x^{3} y - 5 x^{2} y^{2} + x y^{3}) \div (3 x^{3} + 2 x^{2} y - x y^{2})$
10004	Graph	f(x)=x^2-x-6	$f (x) = x^{2} - x - 6$
10005	Graph	g(x) = log base 3 of x	$g (x) = \log_{3} (x)$
10006	Graph	f(x)=x-3	$f (x) = x - 3$
10007	Graph	g(x)=x^2-4	$g (x) = x^{2} - 4$
10008	Graph	x-y>-3	$x - y > - 3$
10009	Find the Center and Radius	x^2+y^2-6x-8y-11=0	$x^{2} + y^{2} - 6 x - 8 y - 11 = 0$
10010	Graph	x+2y>=-8	$x + 2 y \geq - 8$
10011	Find the Center and Radius	(x+1)^2+(y+2)^2=49	${(x + 1)}^{2} + {(y + 2)}^{2} = 49$
10012	Graph	x=1/8y^2	$x = \frac{1}{8} y^{2}$
10013	Find the Inverse	y=5x^2+10	$y = 5 x^{2} + 10$
10014	Simplify	(256x^16)^(1/4)	${(256 x^{16})}^{\frac{1}{4}}$
10015	Solve for y	-3(y-2)^(2/3)+29=-19	$- 3 {(y - 2)}^{\frac{2}{3}} + 29 = - 19$
10016	Multiply	256*4	$256 \cdot 4$
10017	Multiply	180*3	$180 \cdot 3$
10018	Evaluate	log of 1.5	$\log (1.5)$
10019	Graph	2x^2-x-1	$2 x^{2} - x - 1$
10020	Solve by Completing the Square	x^2-10x-1=13	$x^{2} - 10 x - 1 = 13$
10021	Graph	x^2-4x	$x^{2} - 4 x$
10022	Solve by Completing the Square	x^2-10x-5=9	$x^{2} - 10 x - 5 = 9$
10023	Write in Standard Form	9-7x=(4x-3)^2+5	$9 - 7 x = {(4 x - 3)}^{2} + 5$
10024	Solve by Graphing	x=-3	$x = - 3$
10025	Write in Standard Form	x+9=2(x-1)^2	$x + 9 = 2 {(x - 1)}^{2}$
10026	Write in Standard Form	x+9=4(x-1)^2	$x + 9 = 4 {(x - 1)}^{2}$
10027	Subtract	x/(x^2-16)-4/(x^2+5x+4)	$\frac{x}{x^{2} - 16} - \frac{4}{x^{2} + 5 x + 4}$
10028	Find the Foci	(x^2)/40-(y^2)/81=1	$\frac{x^{2}}{40} - \frac{y^{2}}{81} = 1$
10029	Subtract	8/(x+7)-(7x)/(x^2-49)	$\frac{8}{x + 7} - \frac{7 x}{x^{2} - 49}$
10030	Write in Standard Form	(1/8+( square root of 17)/8i)^2	${(\frac{1}{8} + \frac{\sqrt{17}}{8} i)}^{2}$
10031	Write in Standard Form	x^5+2x^3+6x+1/5	$x^{5} + 2 x^{3} + 6 x + \frac{1}{5}$
10032	Find the Perfect Square Trinomial	x^2-5x	$x^{2} - 5 x$
10033	Find the Perfect Square Trinomial	x^2-7x	$x^{2} - 7 x$
10034	Solve Using the Quadratic Formula	6x^2-2x=7	$6 x^{2} - 2 x = 7$
10035	Solve Using the Quadratic Formula	5x^3+2x-4=2x^2	$5 x^{3} + 2 x - 4 = 2 x^{2}$
10036	Find the Axis of Symmetry	y=-x^2+2x+1	$y = - x^{2} + 2 x + 1$
10037	Find the Inverse	f(x)=2/3x+10	$f (x) = \frac{2}{3} x + 10$
10038	Solve for x	2^(2x-3)=16	$2^{2 x - 3} = 16$
10039	Subtract	(7w^2+6wz+4z^2)-(w^2-3wz+2z^2)	$(7 w^{2} + 6 w z + 4 z^{2}) - (w^{2} - 3 w z + 2 z^{2})$
10040	Solve for x	16^(3x-3)=64^(x+4)	$16^{3 x - 3} = 64^{x + 4}$
10041	Subtract	(-9g^4+3g^2h+1)-(6g^4-3g^2h+h)	$(- 9 g^{4} + 3 g^{2} h + 1) - (6 g^{4} - 3 g^{2} h + h)$
10042	Solve for x	2(3x-1)>=4x-6	$2 (3 x - 1) \geq 4 x - 6$
10043	Subtract	(11-9i)-(15-12i)	$(11 - 9 i) - (15 - 12 i)$
10044	Solve for a	6a+5a=-11	$6 a + 5 a = - 11$
10045	Evaluate Using Scientific Notation	(1.510^0)(2.0*10^-5)	$(1.5 \cdot 10^{0}) \cdot (2 \cdot 10^{- 5})$
10046	Solve for x	x/5-x/6=1/3	$\frac{x}{5} - \frac{x}{6} = \frac{1}{3}$
10047	Find the Roots (Zeros)	f(x)=4x^2-17x+3	$f (x) = 4 x^{2} - 17 x + 3$
10048	Solve for x	e^x=6	$e^{x} = 6$
10049	Solve for x	e^x=12	$e^{x} = 12$
10050	Solve for x	x- square root of 3-2x=0	$x - \sqrt{3 - 2 x} = 0$
10051	Convert to a Percentage	0.019	$0.019$
10052	Solve for x	log base 5 of 625=x	$\log_{5} (625) = x$
10053	Find the Slope	(-4,2) , (3,-3)	$(- 4, 2) (3, - 3)$
10054	Find the Slope	(-9,6) , (-3,9)	$(- 9, 6) (- 3, 9)$
10055	Find the Slope	(4,1) , (2,4)	$(4, 1) (2, 4)$
10056	Solve for x	3^x=729	$3^{x} = 729$
10057	Solve for x	3^(2x)=81	$3^{2 x} = 81$
10058	Find the Domain and Range	f(x)=2x^2-8x+6	$f (x) = 2 x^{2} - 8 x + 6$
10059	Solve for x	5^x=4	$5^{x} = 4$
10060	Find the LCD	3/5 , 5/16 , 9/20	$\frac{3}{5}$ , $\frac{5}{16}$ , $\frac{9}{20}$
10061	Find the Inverse	y = natural log of x	$y = \ln (x)$
10062	Solve for x	5^(x-4)=25^(x-6)	$5^{x - 4} = 25^{x - 6}$
10063	Multiply	5*10	$5 \cdot 10$
10064	Find the Slope and y-intercept	12x+2y=-60	$12 x + 2 y = - 60$
10065	Solve for x	x^2=63	$x^{2} = 63$
10066	Find the Slope and y-intercept	y=3x+11	$y = 3 x + 11$
10067	Subtract	14-9	$14 - 9$
10068	Simplify	square root of x^2+9	$\sqrt{x^{2} + 9}$
10069	Solve for x	square root of (x-1)^3=8	$\sqrt{{(x - 1)}^{3}} = 8$
10070	Rationalize the Denominator	( cube root of 27x)/( cube root of 9)	$\frac{\sqrt[3]{27 x}}{\sqrt[3]{9}}$
10071	Simplify	(((a-4)(a+3))/(a^2-a))÷(a+3)*(a-1)/(a-4)	$\frac{(a - 4) (a + 3)}{a^{2} - a} \div (a + 3) \cdot \frac{a - 1}{a - 4}$
10072	Rationalize the Denominator	7/(1- square root of 5)	$\frac{7}{1 - \sqrt{5}}$
10073	Solve for x	x/3+x/2=10	$\frac{x}{3} + \frac{x}{2} = 10$
10074	Solve for y	y=x+3	$y = x + 3$
10075	Solve by Graphing	x=x(-x)	$y = f (- x)$
10076	Solve for y	y-3=0	$y - 3 = 0$
10077	Write in Standard Form	8/7x^3+x^4+6x+1	$\frac{8}{7} x^{3} + x^{4} + 6 x + 1$
10078	Convert to a Simplified Fraction	56%	$56 %$
10079	Factor	x^2-16xy+64y^2	$x^{2} - 16 x y + 64 y^{2}$
10080	Expand the Trigonometric Expression	(4b^2+3)(4b^2-3)	$(4 b^{2} + 3) (4 b^{2} - 3)$
10081	Solve for x	7(3x+9)=11-(x+3)	$7 (3 x + 9) = 11 - (x + 3)$
10082	Expand the Trigonometric Expression	(2+3d)(2+3d)	$(2 + 3 d) (2 + 3 d)$
10083	Solve Using the Quadratic Formula	25x^2-10x+1=0	$25 x^{2} - 10 x + 1 = 0$
10084	Solve for x	3x-4y=7	$3 x - 4 y = 7$
10085	Convert to Logarithmic Form	e^a=60	$e^{a} = 60$
10086	Solve for x	3x-y=3	$3 x - y = 3$
10087	Solve for x	3x-y=2	$3 x - y = 2$
10088	Convert to a Decimal	7/22	$\frac{7}{22}$
10089	Solve for x	20-x/3=x/2	$20 - \frac{x}{3} = \frac{x}{2}$
10090	Convert to a Decimal	29%	$29 %$
10091	Simplify	square root of 63/25	$\sqrt{\frac{63}{25}}$
10092	Solve for x	-10x<=40	$- 10 x \leq 40$
10093	Expand the Logarithmic Expression	log of square root of (yz^3)/(x^5)	$\log (\sqrt{\frac{y z^{3}}{x^{5}}})$
10094	Solve for x	log of x=-5	$\log (x) = - 5$
10095	Expand the Logarithmic Expression	log base 3 of x/y	$\log_{3} (\frac{x}{y})$
10096	Solve for y	8x-4y=20	$8 x - 4 y = 20$
10097	Find the Roots (Zeros)	f(x)=x^3-5x^2-6x	$f (x) = x^{3} - 5 x^{2} - 6 x$
10098	Solve for y	4(7y+x)=4	$4 (7 y + x) = 4$
10099	Add	(5n)/(n^2-2n+1)+2/(n^2+2n-3)	$\frac{5 n}{n^{2} - 2 n + 1} + \frac{2}{n^{2} + 2 n - 3}$
10100	Add	(2-8i)+(5-i)	$(2 - 8 i) + (5 - i)$