Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
13401	Find the Roots (Zeros)	x^4-13x^3-x+15=0	$x^{4} - 13 x^{3} - x + 15 = 0$
13402	Graph	2x+5y>10	$2 x + 5 y > 10$
13403	Find the Vertex	y=5+16x-2x^2	$y = 5 + 16 x - 2 x^{2}$
13404	Find the Vertex	y=-3x^2+2x-4	$y = - 3 x^{2} + 2 x - 4$
13405	Find the Vertex	y=-3x^2+4x-5	$y = - 3 x^{2} + 4 x - 5$
13406	Find the Vertex	y=-2x^2+3x-4	$y = - 2 x^{2} + 3 x - 4$
13407	Factor	2a^2+5a-3	$2 a^{2} + 5 a - 3$
13408	Simplify	square root of 448x^8y^19	$\sqrt{448 x^{8} y^{19}}$
13409	Evaluate Using the Given Value	f(7)=3/(7+2)- square root of 7-3	$f (7) = \frac{3}{7 + 2} - \sqrt{7 - 3}$
13410	Simplify	square root of 676	$\sqrt{676}$
13411	Find the Roots (Zeros)	f(x)=2x^3-8x^2+3x+5	$f (x) = 2 x^{3} - 8 x^{2} + 3 x + 5$
13412	Find the Roots (Zeros)	f(x)=(x-10)^2-49	$f (x) = {(x - 10)}^{2} - 49$
13413	Find the Roots (Zeros)	f(x)=(2x^2-8x+6)/(x^2-4x+4)	$f (x) = \frac{2 x^{2} - 8 x + 6}{x^{2} - 4 x + 4}$
13414	Graph	x^3-1	$x^{3} - 1$
13415	Graph	square root of 16-x^2	$\sqrt{16 - x^{2}}$
13416	Find the Perfect Square Trinomial	y^2-10y+	$y^{2} - 10 y +$
13417	Find the Roots (Zeros)	x^3-5x^2-13x-7	$x^{3} - 5 x^{2} - 13 x - 7$
13418	Find the Roots (Zeros)	x^3-7x^2+13x-6	$x^{3} - 7 x^{2} + 13 x - 6$
13419	Subtract	5/(x+4)-(4x)/(x^2-16)	$\frac{5}{x + 4} - \frac{4 x}{x^{2} - 16}$
13420	Write in Standard Form	(2x^2+1)-(x^2-2x+1)	$(2 x^{2} + 1) - (x^{2} - 2 x + 1)$
13421	Simplify/Condense	log base 5 of 4+ log base 5 of 3	$\log_{5} (4) + \log_{5} (3)$
13422	Complete the Square	x^2+8x+	$x^{2} + 8 x +$
13423	Simplify/Condense	log of 2- log of 8	$\log (2) - \log (8)$
13424	Solve for x	(1/5)^x=25	${(\frac{1}{5})}^{x} = 25$
13425	Find the Center and Radius	x^2+y^2+18x+14y+105=0	$x^{2} + y^{2} + 18 x + 14 y + 105 = 0$
13426	Solve for x	11^x=121	$11^{x} = 121$
13427	Solve for x	2/5x-1/3x=5	$\frac{2}{5} x - \frac{1}{3} x = 5$
13428	Find the Center and Radius	x^2+y^2=225	$x^{2} + y^{2} = 225$
13429	Solve for x	2^x=1/2	$2^{x} = \frac{1}{2}$
13430	Find the Inverse	y = log base 12 of x	$y = \log_{12} (x)$
13431	Solve for n	8n+7=31	$8 n + 7 = 31$
13432	Find the Inverse	y=-8x+16	$y = - 8 x + 16$
13433	Solve for c	c+(4-3c)-2=0	$c + (4 - 3 c) - 2 = 0$
13434	Solve for b	a=gmb	$a = g m b$
13435	Solve for b	-6=b/18	$- 6 = \frac{b}{18}$
13436	Solve for x	8^x=64	$8^{x} = 64$
13437	Solve for x	e^(2x)=1.4	$e^{2 x} = 1.4$
13438	Solve for x	e^x=8	$e^{x} = 8$
13439	Solve for x	log base x of 9=1/2	$\log_{x} (9) = \frac{1}{2}$
13440	Simplify	(3x^2+13x+4)/((3x+1)/5)	$\frac{3 x^{2} + 13 x + 4}{\frac{3 x + 1}{5}}$
13441	Find the Mean	10 , 11 , 4 , 7 , 12 , 11 , 16 , 6 , 9 , 15	$10$ , $11$ , $4$ , $7$ , $12$ , $11$ , $16$ , $6$ , $9$ , $15$
13442	Solve for x	log base x of 1/8=-3	$\log_{x} (\frac{1}{8}) = - 3$
13443	Solve for x	4/(x^2-4)=1/(x-2)	$\frac{4}{x^{2} - 4} = \frac{1}{x - 2}$
13444	Find the End Behavior	f(x)=-5x(2x-5)^2	$f (x) = - 5 x {(2 x - 5)}^{2}$
13445	Solve for x	3^(2x)=30	$3^{2 x} = 30$
13446	Solve for x	5/6x-1/2=2	$\frac{5}{6} x - \frac{1}{2} = 2$
13447	Subtract	-4- square root of 2i	$- 4 - \sqrt{2 i}$
13448	Identify the Sequence	3 , 6 , 9 , 12	$3$ , $6$ , $9$ , $12$
13449	Identify the Sequence	120 , 60 , 30 , 15	$120$ , $60$ , $30$ , $15$
13450	Find the Slope	(4,-2) , (-5,4)	$(4, - 2) (- 5, 4)$
13451	Simplify	(64y^100)^(1/2)	${(64 y^{100})}^{\frac{1}{2}}$
13452	Find the Slope	(-6,5) , (-7,-2)	$(- 6, 5) (- 7, - 2)$
13453	Solve for g	3/(2g+8)=3/4	$\frac{3}{2 g + 8} = \frac{3}{4}$
13454	Find the Slope	(-8,10) , (-8,-7)	$(- 8, 10) (- 8, - 7)$
13455	Simplify	square root of 252x^6y^15	$\sqrt{252 x^{6} y^{15}}$
13456	Find the Slope	(5,-1) , (4,-5)	$(5, - 1) (4, - 5)$
13457	Multiply	7*7	$7 \cdot 7$
13458	Solve for x	5x-4y=20	$5 x - 4 y = 20$
13459	Solve for x	5x-3=13-3x	$5 x - 3 = 13 - 3 x$
13460	Rationalize the Denominator	13/( square root of 5)	$\frac{13}{\sqrt{5}}$
13461	Solve for x	-6=x/8+4	$- 6 = \frac{x}{8} + 4$
13462	Rationalize the Denominator	( square root of -9)/((4-7i)-(6-6i))	$\frac{\sqrt{- 9}}{(4 - 7 i) - (6 - 6 i)}$
13463	Solve for x	6=1-2x+5	$6 = 1 - 2 x + 5$
13464	Rationalize the Denominator	(6x)/( square root of -x-1)	$\frac{6 x}{\sqrt{- x - 1}}$
13465	Solve for x	8x-7=19x+15	$8 x - 7 = 19 x + 15$
13466	Convert to a Decimal	4 1/4	$4 \frac{1}{4}$
13467	Solve for x	natural log of x-5+ natural log of x+2 = natural log of x-14	$\ln (x - 5) + \ln (x + 2) = \ln (x - 14)$
13468	Convert to a Decimal	57/2	$\frac{57}{2}$
13469	Solve for x	natural log of x-1+ natural log of x+2=1	$\ln (x - 1) + \ln (x + 2) = 1$
13470	Convert to a Decimal	5/33	$\frac{5}{33}$
13471	Solve for x	7(5x+8)=12-(x+4)	$7 (5 x + 8) = 12 - (x + 4)$
13472	Convert to a Decimal	76%	$76 %$
13473	Solve for x	2m-nx=x+4	$2 m - n x = x + 4$
13474	Find All Complex Solutions	x^2-2x+37=0	$x^{2} - 2 x + 37 = 0$
13475	Solve for x	4x+5(7x-3)=9(x-5)	$4 x + 5 (7 x - 3) = 9 (x - 5)$
13476	Find All Complex Solutions	5x^2+5x+4=0	$5 x^{2} + 5 x + 4 = 0$
13477	Factor by Grouping	x^2-11x+24	$x^{2} - 11 x + 24$
13478	Solve for x	x-8=0	$x - 8 = 0$
13479	Factor by Grouping	6x^5+36x^2+24x	$6 x^{5} + 36 x^{2} + 24 x$
13480	Solve for x	x-7=0	$x - 7 = 0$
13481	Factor by Grouping	2x^2+11x+5	$2 x^{2} + 11 x + 5$
13482	Find the Degree	5a^2+6ab-7b^2	$5 a^{2} + 6 a b - 7 b^{2}$
13483	Solve for x	log of 3x=2	$\log (3 x) = 2$
13484	Find the Degree	4x^6y^3-7x^2y^10+3x^5y^5	$4 x^{6} y^{3} - 7 x^{2} y^{10} + 3 x^{5} y^{5}$
13485	Solve for x	-2x<4	$- 2 x < 4$
13486	Factor	100b^2-144a^4	$100 b^{2} - 144 a^{4}$
13487	Solve for x	fourth root of (x-3)^5=32	$\sqrt[4]{{(x - 3)}^{5}} = 32$
13488	Evaluate	(5)^(7/3)	${(5)}^{\frac{7}{3}}$
13489	Simplify	(2x-3)(2x-3)	$(2 x - 3) (2 x - 3)$
13490	Convert to Radical Form	u^(2/3)	$u^{\frac{2}{3}}$
13491	Simplify	(3x+2y)(3x-2y)	$(3 x + 2 y) (3 x - 2 y)$
13492	Convert to Radical Form	m^(5/2)	$m^{\frac{5}{2}}$
13493	Simplify	(6+7i)(6-7i)	$(6 + 7 i) (6 - 7 i)$
13494	Convert to Radical Form	x^1.4	$x^{1.4}$
13495	Simplify	(12+5i)-(2-i)	$(12 + 5 i) - (2 - i)$
13496	Simplify	(n^2+6n-4)(2n-4)	$(n^{2} + 6 n - 4) (2 n - 4)$
13497	Write in Exponential Form	log base 2 of 8=3	$\log_{2} (8) = 3$
13498	Divide Using Synthetic Division	(x^3-7x^2+8)÷(x+1)	$(x^{3} - 7 x^{2} + 8) \div (x + 1)$
13499	Divide Using Synthetic Division	(4x^2+5x-6)÷(x+2)	$(4 x^{2} + 5 x - 6) \div (x + 2)$
13500	Simplify	square root of 25y^2	$\sqrt{25 y^{2}}$