Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
38201	Complete the Square	x^2+60x+c	$x^{2} + 60 x + c$
38202	Evaluate	3 square root of -216	$3 \sqrt{- 216}$
38203	Complete the Square	x^2-10x=21	$x^{2} - 10 x = 21$
38204	Evaluate	-3 square root of 54	$- 3 \sqrt{54}$
38205	Complete the Square	x^2+20x+40	$x^{2} + 20 x + 40$
38206	Evaluate	-3 square root of 120	$- 3 \sqrt{120}$
38207	Complete the Square	n^2+20n	$n^{2} + 20 n$
38208	Complete the Square	n^2+18n	$n^{2} + 18 n$
38209	Evaluate	2 square root of 500	$2 \sqrt{500}$
38210	Complete the Square	n^2-16n	$n^{2} - 16 n$
38211	Evaluate	2 square root of 72	$2 \sqrt{72}$
38212	Evaluate	15 square root of 2	$15 \sqrt{2}$
38213	Complete the Square	w^2+14w+	$w^{2} + 14 w +$
38214	Evaluate	2 square root of 0	$2 \sqrt{0}$
38215	Evaluate	sixth root of 256	$\sqrt[6]{256}$
38216	Complete the Square	u^2+2u+	$u^{2} + 2 u +$
38217	Evaluate	- sixth root of 64	$- \sqrt[6]{64}$
38218	Evaluate	fifth root of 25	$\sqrt[5]{25}$
38219	Complete the Square	w^2-2w+	$w^{2} - 2 w +$
38220	Evaluate	- fifth root of -3125	$- \sqrt[5]{- 3125}$
38221	Evaluate	fifth root of -1/243	$\sqrt[5]{- \frac{1}{243}}$
38222	Evaluate	cube root of 864	$\sqrt[3]{864}$
38223	Complete the Square	x^2-4/9x	$x^{2} - \frac{4}{9} x$
38224	Evaluate	cube root of 448	$\sqrt[3]{448}$
38225	Evaluate	- cube root of -216	$- \sqrt[3]{- 216}$
38226	Complete the Square	x^2+14x+n	$x^{2} + 14 x + n$
38227	Find Any Equation Perpendicular to the Line	y=2x+3	$y = 2 x + 3$
38228	Complete the Square	x^2+16x+57	$x^{2} + 16 x + 57$
38229	Find Any Equation Parallel to the Line	y=2x-4	$y = 2 x - 4$
38230	Complete the Square	x^2+12x+29	$x^{2} + 12 x + 29$
38231	Evaluate	( square root of 13)^2	${(\sqrt{13})}^{2}$
38232	Complete the Square	x^2+5/4x	$x^{2} + \frac{5}{4} x$
38233	Evaluate	( square root of 7+ square root of 5)^2	${(\sqrt{7} + \sqrt{5})}^{2}$
38234	Complete the Square	x^2+3/4x+9/64	$x^{2} + \frac{3}{4} x + \frac{9}{64}$
38235	Evaluate	( square root of 13- square root of 14)/( square root of 13+ square root of 14)	$\frac{\sqrt{13} - \sqrt{14}}{\sqrt{13} + \sqrt{14}}$
38236	Complete the Square	x^2+4/7x	$x^{2} + \frac{4}{7} x$
38237	Evaluate	( square root of 24)/( square root of 2)	$\frac{\sqrt{24}}{\sqrt{2}}$
38238	Complete the Square	x^2+2/3x+1	$x^{2} + \frac{2}{3} x + 1$
38239	Complete the Square	x^2+10x-12	$x^{2} + 10 x - 12$
38240	Evaluate	4/( cube root of 7)	$\frac{4}{\sqrt[3]{7}}$
38241	Complete the Square	y^2-6y-7=0	$y^{2} - 6 y - 7 = 0$
38242	Complete the Square	a^2-6a+	$a^{2} - 6 a +$
38243	Complete the Square	a^2-15a	$a^{2} - 15 a$
38244	Evaluate	(3+ square root of 8)/(2-2 square root of 8)	$\frac{3 + \sqrt{8}}{2 - 2 \sqrt{8}}$
38245	Evaluate	30/( square root of 5)	$\frac{30}{\sqrt{5}}$
38246	Complete the Square	9x^2-54x-19	$9 x^{2} - 54 x - 19$
38247	Evaluate	18/( square root of 2)	$\frac{18}{\sqrt{2}}$
38248	Evaluate	18/( square root of 3)	$\frac{18}{\sqrt{3}}$
38249	Complete the Square	5z^2+14z-3	$5 z^{2} + 14 z - 3$
38250	Evaluate	2/(3- square root of 2)	$\frac{2}{3 - \sqrt{2}}$
38251	Complete the Square	-4x^2+24x-29	$- 4 x^{2} + 24 x - 29$
38252	Evaluate	( cube root of 375)/( cube root of 3)	$\frac{\sqrt[3]{375}}{\sqrt[3]{3}}$
38253	Complete the Square	h^2-3/4h+
38254	Complete the Square	1-x-x^2	$1 - x - x^{2}$
38255	Complete the Square	3x^2+6x-7	$3 x^{2} + 6 x - 7$
38256	Evaluate	( square root of 6)/( square root of 5+2)	$\frac{\sqrt{6}}{\sqrt{5} + 2}$
38257	Complete the Square	2x^2-8x+7	$2 x^{2} - 8 x + 7$
38258	Evaluate	( square root of 45)/( square root of 15)	$\frac{\sqrt{45}}{\sqrt{15}}$
38259	Find the Roots/Zeros Using the Rational Roots Test	x^4-3x^3-69x^2-95x-30=0	$x^{4} - 3 x^{3} - 69 x^{2} - 95 x - 30 = 0$
38260	Evaluate	1/(5+ square root of 6)	$\frac{1}{5 + \sqrt{6}}$
38261	Evaluate	14/( square root of 7)	$\frac{14}{\sqrt{7}}$
38262	Find the Behavior (Leading Coefficient Test)	y=-x^6-6x^5+50x^3+45x^2-108x-108	$y = - x^{6} - 6 x^{5} + 50 x^{3} + 45 x^{2} - 108 x - 108$
38263	Expand Using the Binomial Theorem	(x-7)^3	${(x - 7)}^{3}$
38264	Use the Rational Roots Test to Find All Possible Roots	x^4+3x^3+3x^2-3x-4=0	$x^{4} + 3 x^{3} + 3 x^{2} - 3 x - 4 = 0$
38265	Expand Using the Binomial Theorem	(x-2y)^13	${(x - 2 y)}^{13}$
38266	Expand Using the Binomial Theorem	(x+h)^4	${(x + h)}^{4}$
38267	Expand Using the Binomial Theorem	(7x+8)^2	${(7 x + 8)}^{2}$
38268	Solve for z	0<-z-4<3	$0 < - z - 4 < 3$
38269	Expand Using the Binomial Theorem	(2x+3y)^5	${(2 x + 3 y)}^{5}$
38270	Solve for z	-12<-2z-2<2	$- 12 < - 2 z - 2 < 2$
38271	Expand Using the Binomial Theorem	(2x-1)^5	${(2 x - 1)}^{5}$
38272	Solve for p	-32<6p+10<=-20	$- 32 < 6 p + 10 \leq - 20$
38273	Expand Using the Binomial Theorem	(5x+3y)^2	${(5 x + 3 y)}^{2}$
38274	Graph Using a Table of Values	y=1/4x	$y = \frac{1}{4} x$
38275	Graph Using a Table of Values	y=2x-6	$y = 2 x - 6$
38276	Graph Using a Table of Values	y=3x-2	$y = 3 x - 2$
38277	Graph Using a Table of Values	y=x+5	$y = x + 5$
38278	Expand Using the Binomial Theorem	(1-x)^3	${(1 - x)}^{3}$
38279	Find the Standard Form of the Parabola	f(x)=x^2-12x+44	$f (x) = x^{2} - 12 x + 44$
38280	Find the Standard Form of the Parabola	h(x)=x^2-8x+16	$h (x) = x^{2} - 8 x + 16$
38281	Find Three Ordered Pair Solutions	y=3x^2	$y = 3 x^{2}$
38282	Find Three Ordered Pair Solutions	y=x	$y = x$
38283	Find the Standard Form of the Parabola	f(x)=7x^2-x+1	$f (x) = 7 x^{2} - x + 1$
38284	Graph	f(x) = square root of x	$f (x) = \sqrt{x}$
38285	Determine if Injective (One to One)	f(x)=x^3-1	$f (x) = x^{3} - 1$
38286	Find the Domain and Range	f(x)=(x-2)^2-9	$f (x) = {(x - 2)}^{2} - 9$
38287	Find Where Increasing/Decreasing	x square root of 100-x^2	$x \sqrt{100 - x^{2}}$
38288	Find the Domain and Range	1/x	$\frac{1}{x}$
38289	Find Where Increasing/Decreasing	-x^3+6x^2-9x-10	$- x^{3} + 6 x^{2} - 9 x - 10$
38290	Find the Domain and Range	f(x)=x^2-4x-5	$f (x) = x^{2} - 4 x - 5$
38291	Find the Domain and Range	f(x)=x^2-6	$f (x) = x^{2} - 6$
38292	Find Where Increasing/Decreasing	-3x^2-24x-45	$- 3 x^{2} - 24 x - 45$
38293	Find the Domain and Range	f(x)=x^2-2x-15	$f (x) = x^{2} - 2 x - 15$
38294	Find the Domain and Range	f(x)=-x^2-2x	$f (x) = - x^{2} - 2 x$
38295	Find Where Increasing/Decreasing	(x-3)^6+1	${(x - 3)}^{6} + 1$
38296	Find the Domain and Range	f(x) = square root of x^2-9	$f (x) = \sqrt{x^{2} - 9}$
38297	Find the Vertex	y=(x-1)^2	$y = {(x - 1)}^{2}$
38298	Find the Vertex	y=x^2+5x	$y = x^{2} + 5 x$
38299	Find the Vertex	y=-x^2+5x+3	$y = - x^{2} + 5 x + 3$
38300	Find the Vertex	y=(x+2)(x-3)	$y = (x + 2) (x - 3)$