Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
11101	Solve Using the Quadratic Formula	4x^2-8=0	$4 x^{2} - 8 = 0$
11102	Solve Using the Quadratic Formula	4x^2-6x+1=0	$4 x^{2} - 6 x + 1 = 0$
11103	Find the Discriminant	4x^2+20x+25=0	$4 x^{2} + 20 x + 25 = 0$
11104	Find the Inverse	f(x)=(x+7)/5	$f (x) = \frac{x + 7}{5}$
11105	Calculate the Square Root	square root of 109	$\sqrt{109}$
11106	Find the Inverse	a(n)=4n-25	$a (n) = 4 n - 25$
11107	Find the Inverse	a(b)=10*(b+7)/2	$a (b) = 10 \cdot \frac{b + 7}{2}$
11108	Solve Using the Quadratic Formula	8x^2-2x=1	$8 x^{2} - 2 x = 1$
11109	Find the Inverse	f(x)=x/4-2	$f (x) = \frac{x}{4} - 2$
11110	Factor	25x^2-121	$25 x^{2} - 121$
11111	Find the Vertex	y=3x^2-8x+2	$y = 3 x^{2} - 8 x + 2$
11112	Factor	2y^3-128	$2 y^{3} - 128$
11113	Find the Roots (Zeros)	x^2-7x+10	$x^{2} - 7 x + 10$
11114	Factor	2x^4+54x	$2 x^{4} + 54 x$
11115	Expand Using the Binomial Theorem	(x+y^2)^2	${(x + y^{2})}^{2}$
11116	Find the Center and Radius	x^2+y^2+14x-10y+65=0	$x^{2} + y^{2} + 14 x - 10 y + 65 = 0$
11117	Factor	15x^2+13x+2	$15 x^{2} + 13 x + 2$
11118	Find the Directrix	y-6=-(x-1)^2	$y - 6 = - {(x - 1)}^{2}$
11119	Factor	16m^4-1	$16 m^{4} - 1$
11120	Factor	16m^4-81	$16 m^{4} - 81$
11121	Evaluate the Function	f(5)=3x+2	$f (5) = 3 x + 2$
11122	Factor	2a^2-9a-45	$2 a^{2} - 9 a - 45$
11123	Subtract	180-75	$180 - 75$
11124	Factor	27x^3+512y^3	$27 x^{3} + 512 y^{3}$
11125	Subtract	(8z^4)/(8z+20)-2/(z^5)	$\frac{8 z^{4}}{8 z + 20} - \frac{2}{z^{5}}$
11126	Factor	2x-7	$2 x - 7$
11127	Subtract	180-128	$180 - 128$
11128	Factor	3x^2-3x-90	$3 x^{2} - 3 x - 90$
11129	Subtract	180-106	$180 - 106$
11130	Factor	3x^2-x-14	$3 x^{2} - x - 14$
11131	Evaluate Using Scientific Notation	(9.410^2)(2.0*10^3)	$(9.4 \cdot 10^{2}) \cdot (2 \cdot 10^{3})$
11132	Factor	-3x^3+18x^2-27x	$- 3 x^{3} + 18 x^{2} - 27 x$
11133	Evaluate Using Scientific Notation	(3.010^3)(5.0*10^1)	$(3 \cdot 10^{3}) \cdot (5 \cdot 10^{1})$
11134	Factor	4x^2+15x-4	$4 x^{2} + 15 x - 4$
11135	Factor	4v^2-22v+10	$4 v^{2} - 22 v + 10$
11136	Evaluate Using Scientific Notation	(1.2010^6)/(6.010^5)	$\frac{1.2 \cdot 10^{6}}{6 \cdot 10^{5}}$
11137	Factor	4a^2-9b^2	$4 a^{2} - 9 b^{2}$
11138	Factor	4a^2-b^2	$4 a^{2} - b^{2}$
11139	Factor	36m^3-6m^2p^2-6mp+p^3	$36 m^{3} - 6 m^{2} p^{2} - 6 m p + p^{3}$
11140	Convert to Interval Notation	\|8x-4\|<=12	$\| 8 x - 4 \| \leq 12$
11141	Factor	36-25x^2	$36 - 25 x^{2}$
11142	Convert to Interval Notation	x^2<=4x-1	$x^{2} \leq 4 x - 1$
11143	Factor	-3+2y+21y^2	$- 3 + 2 y + 21 y^{2}$
11144	Solve the System of @WORD	log base 5 of 5x-2> log base 5 of 2x+10	$\log_{5} (5 x - 2) > \log_{5} (2 x + 10)$
11145	Factor	125-8x^3	$125 - 8 x^{3}$
11146	Factor	12x^2-19x+4	$12 x^{2} - 19 x + 4$
11147	Factor	12x^2+x-63	$12 x^{2} + x - 63$
11148	Solve by Completing the Square	x^2-8x=39	$x^{2} - 8 x = 39$
11149	Factor	y^2-18y+77	$y^{2} - 18 y + 77$
11150	Factor	y^2+24y+144	$y^{2} + 24 y + 144$
11151	Convert to Scientific Notation	3600-6.3*10^2	$3600 - 6.3 \cdot 10^{2}$
11152	Factor	y^2+4y-60	$y^{2} + 4 y - 60$
11153	Convert to Scientific Notation	8.2*10^-5+0.0004	$8.2 \cdot 10^{- 5} + 0.0004$
11154	Factor	y^2+20y+96	$y^{2} + 20 y + 96$
11155	Solve Using the Square Root Property	(x-1)^2=25	${(x - 1)}^{2} = 25$
11156	Factor	10x^2-29x+10	$10 x^{2} - 29 x + 10$
11157	Find the Asymptotes	(4x-4)/(x-1)	$\frac{4 x - 4}{x - 1}$
11158	Factor	1-x^3	$1 - x^{3}$
11159	Convert to Logarithmic Form	67.21=e^a	$67.21 = e^{a}$
11160	Factor	x^3-x^2-9x+9	$x^{3} - x^{2} - 9 x + 9$
11161	Convert to Logarithmic Form	3^x=y	$3^{x} = y$
11162	Factor	x^2-8x-15	$x^{2} - 8 x - 15$
11163	Solve Using the Quadratic Formula	3x-9x^2=-10	$3 x - 9 x^{2} = - 10$
11164	Factor	x^3+3x^2+6x+18	$x^{3} + 3 x^{2} + 6 x + 18$
11165	Solve Using the Quadratic Formula	8x+10x^2-6=17x	$8 x + 10 x^{2} - 6 = 17 x$
11166	Factor	x^3-3x^2+9-3x	$x^{3} - 3 x^{2} + 9 - 3 x$
11167	Solve Using the Quadratic Formula	x-12 square root of x+27=0	$x - 12 \sqrt{x} + 27 = 0$
11168	Solve Using the Quadratic Formula	15x^2+13x=0	$15 x^{2} + 13 x = 0$
11169	Factor	x^4+8x^2+16	$x^{4} + 8 x^{2} + 16$
11170	Solve Using the Quadratic Formula	2x^2+5x-10=x^2+4	$2 x^{2} + 5 x - 10 = x^{2} + 4$
11171	Factor	x^4-y^2	$x^{4} - y^{2}$
11172	Find the Maximum/Minimum Value	y=-x^2-x+6	$y = - x^{2} - x + 6$
11173	Factor	x^2+6x+6	$x^{2} + 6 x + 6$
11174	Find the Roots (Zeros)	x^3-27i=0	$x^{3} - 27 i = 0$
11175	Find the Roots (Zeros)	y=x^3-3x^2+x+1	$y = x^{3} - 3 x^{2} + x + 1$
11176	Factor	x^2+17x+70	$x^{2} + 17 x + 70$
11177	Find the Roots (Zeros)	y=8x^2+4x+5	$y = 8 x^{2} + 4 x + 5$
11178	Factor	x^2-2xy-15y^2	$x^{2} - 2 x y - 15 y^{2}$
11179	Find Where Undefined/Discontinuous	(3x^2-30x+75)/(x^2-9x+20)	$\frac{3 x^{2} - 30 x + 75}{x^{2} - 9 x + 20}$
11180	Find the Asymptotes	16y^2-4x^2=64	$16 y^{2} - 4 x^{2} = 64$
11181	Factor	x^2-121y^2	$x^{2} - 121 y^{2}$
11182	Factor	x^2-16x+28	$x^{2} - 16 x + 28$
11183	Expand the Logarithmic Expression	log base b of (x^3y)/(z^8)	$\log_{b} (\frac{x^{3} y}{z^{8}})$
11184	Factor	a^2+5a+6	$a^{2} + 5 a + 6$
11185	Expand the Logarithmic Expression	natural log of sixth root of x	$\ln (\sqrt[6]{x})$
11186	Add	(4b)/(b^2-2b+1)+7/(b^2+1b-2)	$\frac{4 b}{b^{2} - 2 b + 1} + \frac{7}{b^{2} + 1 b - 2}$
11187	Factor	a^2-18a+81	$a^{2} - 18 a + 81$
11188	Add	18/(16x)+7/(16x)	$\frac{18}{16 x} + \frac{7}{16 x}$
11189	Factor	w^2-10w+25	$w^{2} - 10 w + 25$
11190	Factor	w^2-8w+16	$w^{2} - 8 w + 16$
11191	Factor	n^2-4	$n^{2} - 4$
11192	Add	(6z^2)/(3z-1)+(2z^2)/(3z+1)	$\frac{6 z^{2}}{3 z - 1} + \frac{2 z^{2}}{3 z + 1}$
11193	Factor	n^2+8n+16	$n^{2} + 8 n + 16$
11194	Find the Roots (Zeros)	f(x)=x^4+5x^3+10x^2+20x+24	$f (x) = x^{4} + 5 x^{3} + 10 x^{2} + 20 x + 24$
11195	Factor	n^2-1	$n^{2} - 1$
11196	Find the Roots (Zeros)	f(x)=3x^3+12x^2+3x-18	$f (x) = 3 x^{3} + 12 x^{2} + 3 x - 18$
11197	Factor	81x^2-27x-18	$81 x^{2} - 27 x - 18$
11198	Factor	8x+24	$8 x + 24$
11199	Factor	ac+9a-2c-18	$a c + 9 a - 2 c - 18$
11200	Find the Focus	y=x^2-10x+33	$y = x^{2} - 10 x + 33$