Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
12301	Solve by Completing the Square	x^2+22x=31	$x^{2} + 22 x = 31$
12302	Solve by Completing the Square	x^2+2x-1=0	$x^{2} + 2 x - 1 = 0$
12303	Solve by Completing the Square	5x^2-30x=5	$5 x^{2} - 30 x = 5$
12304	Solve by Completing the Square	x^2+2x-10=0	$x^{2} + 2 x - 10 = 0$
12305	Find the LCD	2/(xy) , 18/(xy^2)	$\frac{2}{x y}$ , $\frac{18}{x y^{2}}$
12306	Write in Standard Form	(2i)/(1+i)	$\frac{2 i}{1 + i}$
12307	Convert to a Percentage	0.18	$0.18$
12308	Solve by Completing the Square	x^2-4x-3=0	$x^{2} - 4 x - 3 = 0$
12309	Evaluate Using Scientific Notation	(3.310^-4)(8.0*10^0)	$(3.3 \cdot 10^{- 4}) \cdot (8 \cdot 10^{0})$
12310	Solve by Factoring	1/(2x-1)-1/(2x+1)=1/4	$\frac{1}{2 x - 1} - \frac{1}{2 x + 1} = \frac{1}{4}$
12311	Evaluate Using Scientific Notation	(-310^3)(4*10^6)	$(- 3 \cdot 10^{3}) \cdot (4 \cdot 10^{6})$
12312	Evaluate Using Scientific Notation	(2.010^0)(6.0*10^5)	$(2 \cdot 10^{0}) \cdot (6 \cdot 10^{5})$
12313	Solve by Factoring	x^3-2x^2-x+2=0	$x^{3} - 2 x^{2} - x + 2 = 0$
12314	Find the Equation Using Point-Slope Formula	(-2,3) , (3,0)	$(- 2, 3) (3, 0)$
12315	Solve by Factoring	x^3-5x^2-4x+20=0	$x^{3} - 5 x^{2} - 4 x + 20 = 0$
12316	Find the GCF	9ax^2+9ax+9a	$9 a x^{2} + 9 a x + 9 a$
12317	Solve by Factoring	2x^4=16x	$2 x^{4} = 16 x$
12318	Find the Vertex	g(x)=2x^2+36x+170	$g (x) = 2 x^{2} + 36 x + 170$
12319	Solve by Factoring	x^2-10x+24=0	$x^{2} - 10 x + 24 = 0$
12320	Solve by Factoring	x/(x-2)+1/(x-4)=2/(x^2-6x+8)	$\frac{x}{x - 2} + \frac{1}{x - 4} = \frac{2}{x^{2} - 6 x + 8}$
12321	Find Amplitude, Period, and Phase Shift	y=1/2sin(2x)	$y = \frac{1}{2} \sin (2 x)$
12322	Rationalize the Denominator	(12a^2b^3)/( square root of a)	$\frac{12 a^{2} b^{3}}{\sqrt{a}}$
12323	Solve Using the Quadratic Formula	3/7y^2+5/7y=8/7	$\frac{3}{7} y^{2} + \frac{5}{7} y = \frac{8}{7}$
12324	Convert to a Mixed Number	31/9	$\frac{31}{9}$
12325	Identify the Sequence	5 , 20 , 80	$5$ , $20$ , $80$
12326	Find the Slope	3y=x+11	$3 y = x + 11$
12327	Find the x and y Intercepts	y=-x^2+9	$y = - x^{2} + 9$
12328	Find the Slope	8y=2x+4	$8 y = 2 x + 4$
12329	Convert to a Decimal	4 1/3	$4 \frac{1}{3}$
12330	Find the x and y Intercepts	y=x^3-8	$y = x^{3} - 8$
12331	Convert to a Decimal	69.1%	$69.1 %$
12332	Find the x and y Intercepts	x-y=6	$x - y = 6$
12333	Find All Complex Solutions	2x^4-3x^3-24x^2+13x+12=0	$2 x^{4} - 3 x^{3} - 24 x^{2} + 13 x + 12 = 0$
12334	Find the x and y Intercepts	y=1/2x-1	$y = \frac{1}{2} x - 1$
12335	Find the x and y Intercepts	y=1/2x+1	$y = \frac{1}{2} x + 1$
12336	Find the Degree	5y^2+y+1	$5 y^{2} + y + 1$
12337	Solve Using the Quadratic Formula	2x^2-5x-2=0	$2 x^{2} - 5 x - 2 = 0$
12338	Write in Standard Form	x=(y-2)^2+36	$x = {(y - 2)}^{2} + 36$
12339	Solve Using the Quadratic Formula	2x^2-50=0	$2 x^{2} - 50 = 0$
12340	Write in Standard Form	y=-1/2x-7	$y = - \frac{1}{2} x - 7$
12341	Solve Using the Quadratic Formula	2x^2-98=0	$2 x^{2} - 98 = 0$
12342	Write in Standard Form	y=7(x-3)^2+4	$y = 7 {(x - 3)}^{2} + 4$
12343	Solve Using the Quadratic Formula	2x^2-1=7x	$2 x^{2} - 1 = 7 x$
12344	Find the Distance Between Two Points	(-2,-1) , (-8,-7)	$(- 2, - 1) (- 8, - 7)$
12345	Solve Using the Quadratic Formula	2x^2+5x=7	$2 x^{2} + 5 x = 7$
12346	Find the Distance Between Two Points	(2,-3) , (2,4)	$(2, - 3) (2, 4)$
12347	Solve Using the Quadratic Formula	3x^2+11x+6=0	$3 x^{2} + 11 x + 6 = 0$
12348	Find a,b,c	-9x=13-5x^2	$- 9 x = 13 - 5 x^{2}$
12349	Find the Asymptotes	y=4/(x-7)+6	$y = \frac{4}{x - 7} + 6$
12350	Solve Using the Quadratic Formula	3x^2-4x=4	$3 x^{2} - 4 x = 4$
12351	Solve Using the Quadratic Formula	3x^2-5x-4=0	$3 x^{2} - 5 x - 4 = 0$
12352	Describe the Transformation	f(x) = square root of 2x+6+2	$f (x) = \sqrt{2 x + 6} + 2$
12353	Convert to Scientific Notation	0.000354	$0.000354$
12354	Use the Rational Roots Test to Find All Possible Roots	f(x)=20x^4+x^3+8x^2+x-12	$f (x) = 20 x^{4} + x^{3} + 8 x^{2} + x - 12$
12355	Solve Using the Quadratic Formula	3x^2+81=0	$3 x^{2} + 81 = 0$
12356	Find the Domain	(3x)/(x-1)	$\frac{3 x}{x - 1}$
12357	Find Three Ordered Pair Solutions	-x-3y=-6	$- x - 3 y = - 6$
12358	Solve Using the Quadratic Formula	x^2-32=0	$x^{2} - 32 = 0$
12359	Find the End Behavior	f(x)=5x(2x-5)^2	$f (x) = 5 x {(2 x - 5)}^{2}$
12360	Solve Using the Quadratic Formula	y^2+6=6y	$y^{2} + 6 = 6 y$
12361	Find the LCM	3z+12 , 6z+24	$3 z + 12$ , $6 z + 24$
12362	Solve Using the Quadratic Formula	y^2-6y=-7	$y^{2} - 6 y = - 7$
12363	Find the x and y Intercepts	f(x)=2x^3+6x^2-2x-6	$f (x) = 2 x^{3} + 6 x^{2} - 2 x - 6$
12364	Solve Using the Quadratic Formula	x^2-8x-5=0	$x^{2} - 8 x - 5 = 0$
12365	Solve Using the Quadratic Formula	x^2-7x=60	$x^{2} - 7 x = 60$
12366	Solve Using the Quadratic Formula	x^2=8x-15	$x^{2} = 8 x - 15$
12367	Write in Standard Form	(u^2+5u^2v+4uv^2)-(u^2+5u^2v^2+4uv)	$(u^{2} + 5 u^{2} v + 4 u v^{2}) - (u^{2} + 5 u^{2} v^{2} + 4 u v)$
12368	Solve Using the Quadratic Formula	x^2-10x+18=0	$x^{2} - 10 x + 18 = 0$
12369	Write in Standard Form	(3c+7d)^2	${(3 c + 7 d)}^{2}$
12370	Solve Using the Quadratic Formula	x^2=10x-25	$x^{2} = 10 x - 25$
12371	Write in Standard Form	6p^2+2p^3-p^4+3	$6 p^{2} + 2 p^{3} - p^{4} + 3$
12372	Solve Using the Quadratic Formula	x^2+4x-60=0	$x^{2} + 4 x - 60 = 0$
12373	Write in Standard Form	(7g+3)(-g-3)	$(7 g + 3) (- g - 3)$
12374	Solve Using the Quadratic Formula	x^2+2x=1	$x^{2} + 2 x = 1$
12375	Write in Standard Form	(21-4i)-(16+7i)+28i	$(21 - 4 i) - (16 + 7 i) + 28 i$
12376	Solve Using the Quadratic Formula	x^2+12x+36=25	$x^{2} + 12 x + 36 = 25$
12377	Write in Standard Form	-5q^2(-q-5)	$- 5 q^{2} (- q - 5)$
12378	Write in Standard Form	-n^2(n^2+5n+6)	$- n^{2} (n^{2} + 5 n + 6)$
12379	Solve Using the Quadratic Formula	9x^2-6x-4=-5	$9 x^{2} - 6 x - 4 = - 5$
12380	Convert to a Simplified Fraction	33 1/3%	$33 \frac{1}{3} %$
12381	Solve Using the Quadratic Formula	9x^2+12x-5=0	$9 x^{2} + 12 x - 5 = 0$
12382	Combine	-2.5(4x-3)	$- 2.5 (4 x - 3)$
12383	Solve Using the Quadratic Formula	4x^2-7x+4=0	$4 x^{2} - 7 x + 4 = 0$
12384	Combine	-2k-(-5)+1	$- 2 k - (- 5) + 1$
12385	Find the Directrix	x=1/20y^2	$x = \frac{1}{20} y^{2}$
12386	Calculate the Square Root	square root of 244	$\sqrt{244}$
12387	Find the GCF	15u^2v^3 , 20u^5v^2 , 45u^3v^5	$15 u^{2} v^{3}$ , $20 u^{5} v^{2}$ , $45 u^{3} v^{5}$
12388	Factor	2a^2+2b^2-5ab	$2 a^{2} + 2 b^{2} - 5 a b$
12389	Find the Inverse	y=(x+1)^2	$y = {(x + 1)}^{2}$
12390	Factor	12x^2-31x+9	$12 x^{2} - 31 x + 9$
12391	Find the Inverse	y = log of x+9	$y = \log (x + 9)$
12392	Graph	x>=3	$x \geq 3$
12393	Find the Roots (Zeros)	f(x)=x^3+3x^2-9x+5	$f (x) = x^{3} + 3 x^{2} - 9 x + 5$
12394	Find the Roots (Zeros)	f(x)=x^3-10x^2+27x-12	$f (x) = x^{3} - 10 x^{2} + 27 x - 12$
12395	Find the Roots (Zeros)	f(x)=2x^2-8x-10	$f (x) = 2 x^{2} - 8 x - 10$
12396	Find the Roots (Zeros)	f(x)=-4(x-2)(x-6)	$f (x) = - 4 (x - 2) (x - 6)$
12397	Factor	25x^2-64y^2	$25 x^{2} - 64 y^{2}$
12398	Find the Roots (Zeros)	f(x)=2x^2-3x+7	$f (x) = 2 x^{2} - 3 x + 7$
12399	Factor	25x^2+36	$25 x^{2} + 36$
12400	Find the Perfect Square Trinomial	x^2+1/3x+