Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
183201	Solve for x	square root of x-3- square root of x=3	$\sqrt{x - 3} - \sqrt{x} = 3$
183202	Solve the Inequality for x	x^3<9x	$x^{3} < 9 x$
183203	Find the x and y Intercepts	f(x)=(2x+4)/(x^2-x-2)	$f (x) = \frac{2 x + 4}{x^{2} - x - 2}$
183204	Find the LCM	10 and 4	$10$ and $4$
183205	Evaluate Using the Given Value	a+4 when a=7	$a + 4$ when $a = 7$
183206	Find the Midpoint	(10,9) and (7,2)	$(10, 9)$ and $(7, 2)$
183207	Solve for b	5<b-3	$5 < b - 3$
183208	Simplify	(10x+2x^2)/(25-x^2)*(x^2-2x-15)/(3x^2+12x+9)	$\frac{10 x + 2 x^{2}}{25 - x^{2}} \cdot \frac{x^{2} - 2 x - 15}{3 x^{2} + 12 x + 9}$
183209	Solve the Inequality for w	4w^2>4w-1	$4 w^{2} > 4 w - 1$
183210	Simplify	(6x-60)/(x^3+3x^2)*(x^3-9x)/(x^2-13x+30)	$\frac{6 x - 60}{x^{3} + 3 x^{2}} \cdot \frac{x^{3} - 9 x}{x^{2} - 13 x + 30}$
183211	Find the x and y Intercepts	f(x)=-2x(x^2-1)	$f (x) = - 2 x (x^{2} - 1)$
183212	Find the Inverse	f(x)=(-16+x)/4	$f (x) = \frac{- 16 + x}{4}$
183213	Multiply	(5a-5b)/(3a+6b)*(a+2b)/(a-b)	$\frac{5 a - 5 b}{3 a + 6 b} \cdot \frac{a + 2 b}{a - b}$
183214	Evaluate	5k+(-2k)-(-1)	$5 k + (- 2 k) - (- 1)$
183215	Solve for x	25(x^2-5)+14=10	$25 (x^{2} - 5) + 14 = 10$
183216	Solve for q	3(1/4q+1)=q	$3 (\frac{1}{4} q + 1) = q$
183217	Solve the Inequality for x	-3(x-2)<=1/3	$- 3 (x - 2) \leq \frac{1}{3}$
183218	Solve the Inequality for d	7d-1<6d	$7 d - 1 < 6 d$
183219	Graph	f(x)=-x^2(x-2)(x+3)	$f (x) = - x^{2} (x - 2) (x + 3)$
183220	Simplify	1/2-3(1/2+1)^2	$\frac{1}{2} - 3 {(\frac{1}{2} + 1)}^{2}$
183221	Solve for x	(x+2)^2-10(x+2)=-9	${(x + 2)}^{2} - 10 (x + 2) = - 9$
183222	Graph Using a Table of Values	y=(x+5)^2	$y = {(x + 5)}^{2}$
183223	Solve for x	-3/(x-3)+1/(x+5)=1	$\frac{- 3}{x - 3} + \frac{1}{x + 5} = 1$
183224	Simplify	i/(1+2i)	$\frac{i}{1 + 2 i}$
183225	Factor	x^2+x=0	$x^{2} + x = 0$
183226	Solve for n	(2-n)(6+2/3n)(n-2)=0	$(2 - n) (6 + \frac{2}{3} n) (n - 2) = 0$
183227	Find f(g(x))	f(x)=-x+3 g(x)=2x^2-3x-7	$f (x) = - x + 3$ $g (x) = 2 x^{2} - 3 x - 7$
183228	Find the Holes in the Graph	f(x)=(x-9)/(5x+1)	$f (x) = \frac{x - 9}{5 x + 1}$
183229	Graph Using a Table of Values	y=-x^2+4x-3	$y = - x^{2} + 4 x - 3$
183230	Find the Inverse	f(x)=5(x^(1/3)-6)	$f (x) = 5 (x^{\frac{1}{3}} - 6)$
183231	Solve for X	4X-1+9=9X-22	$4 X - 1 + 9 = 9 X - 22$
183232	Simplify	6xy(1/2x^2-1/3xy+1/6y^2)	$6 x y (\frac{1}{2} x^{2} - \frac{1}{3} x y + \frac{1}{6} y^{2})$
183233	Find the Exact Value	sec(45 degrees )^2	$\sec^{2} (45 °)$
183234	Solve the System of Equations	2x+y+2z=-2 -x+2y-2z=-5 2x+y+4z=0	$2 x + y + 2 z = - 2$ $- x + 2 y - 2 z = - 5$ $2 x + y + 4 z = 0$
183235	Graph	-4<x<=5	$- 4 < x \leq 5$
183236	Solve for y	11-12y=3+6x	$11 - 12 y = 3 + 6 x$
183237	Solve for x	8x+2=72+x	$8 x + 2 = 72 + x$
183238	Solve the Inequality for x	x/(x-6)>0	$\frac{x}{x - 6} > 0$
183239	Solve for x	3\|2x+7\|+7<4	$3 \| 2 x + 7 \| + 7 < 4$
183240	Solve for x₁	m=(y_2-y_1)/(x_2-x_1)	$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$
183241	Solve the Rational Equation for x	square root of x+3+3=x	$\sqrt{x + 3} + 3 = x$
183242	Write in Standard Form	25x^2-39y^2+150x+390y=-225	$25 x^{2} - 39 y^{2} + 150 x + 390 y = - 225$
183243	Find the Midpoint	(10,3) and (2,9)	$(10, 3)$ and $(2, 9)$
183244	Evaluate	-1/( square root of 1-(-1)^2)	$\frac{- 1}{\sqrt{1 - {(- 1)}^{2}}}$
183245	Solve for x	y=5x-4x	$y = 5 x - 4 x$
183246	Find the Parabola with Focus (0,1) and Directrix y=-1	(0,1) y=-1	$(0, 1)$ $y = - 1$
183247	Find the x and y Intercepts	f(x)=2-7x^3-7x^2-x	$f (x) = 2 - 7 x^{3} - 7 x^{2} - x$
183248	Simplify	(-20k^4-26k^3)/(12k^4+8k^3)	$\frac{- 20 k^{4} - 26 k^{3}}{12 k^{4} + 8 k^{3}}$
183249	Solve for y	(y+2)/(y+1)+(2y^2-y+3)/(y^2-1)=-(y-2)/(y-1)	$\frac{y + 2}{y + 1} + \frac{2 y^{2} - y + 3}{y^{2} - 1} = - \frac{y - 2}{y - 1}$
183250	Find f(g(x))	f(x)=-x and g(x)=-x	$f (x) = - x$ and $g (x) = - x$
183251	Solve for x	3x-x/a=c	$3 x - \frac{x}{a} = c$
183252	Solve the Inequality for x	\|2x-1\|<5	$\| 2 x - 1 \| < 5$
183253	Solve for x	x-(x-1)/3-(2x-5)/5+(x+8)/6=7	$x - \frac{x - 1}{3} - \frac{2 x - 5}{5} + \frac{x + 8}{6} = 7$
183254	Evaluate	5/8(1/3)^2+5/9	$\frac{5}{8} {(\frac{1}{3})}^{2} + \frac{5}{9}$
183255	Find the Axis of Symmetry	2x^2-8y=0	$2 x^{2} - 8 y = 0$
183256	Solve for x	3/(x-4)=(x-5)/x	$\frac{3}{x - 4} = \frac{x - 5}{x}$
183257	Evaluate	cos(arcsin(( square root of 3)/2))	$\cos (\arcsin (\frac{\sqrt{3}}{2}))$
183258	Solve the System of Equations	2x-y=11 x+3y=-5	$2 x - y = 11$ $x + 3 y = - 5$
183259	Graph	y=2^(1/4x)+3	$y = 2^{\frac{1}{4} x} + 3$
183260	Find the First Term	a_n=n^2-1	$a_{n} = n^{2} - 1$
183261	Simplify	(7w^4-3wz+8wz^2)-(3w^4+2wz-6wz^2)	$(7 w^{4} - 3 w z + 8 w z^{2}) - (3 w^{4} + 2 w z - 6 w z^{2})$
183262	Graph	[10,infinity)	$[10, \infty)$
183263	Graph	4x+3y>-6 x-3y<=-9	$4 x + 3 y > - 6$ $x - 3 y \leq - 9$
183264	Convert to a Decimal	sin(90)deg	$\sin (90)$ degrees
183265	Simplify	(2ab^2)(4a^2b^3)-(10a^3b)(6b^4)	$(2 a b^{2}) (4 a^{2} b^{3}) - (10 a^{3} b) (6 b^{4})$
183266	Solve the Inequality for x	\|x+4\|<=9	$\| x + 4 \| \leq 9$
183267	Simplify	3/(x-3)+2/(x+3)-(4x)/(x^2-9)	$\frac{3}{x - 3} + \frac{2}{x + 3} - \frac{4 x}{x^{2} - 9}$
183268	Evaluate	-(-4)^2+7(-2)^4-2(-3)^3	$- {(- 4)}^{2} + 7 {(- 2)}^{4} - 2 {(- 3)}^{3}$
183269	Graph	y+2x>=0	$y + 2 x \geq 0$
183270	Find the Inverse	f(x)=((x+3)^(1/3))/8	$f (x) = \frac{{(x + 3)}^{\frac{1}{3}}}{8}$
183271	Graph	y<8x^2-5	$y < 8 x^{2} - 5$
183272	Factor	x^3+2x^2-5x-6=0	$x^{3} + 2 x^{2} - 5 x - 6 = 0$
183273	Find f(g(x))	f(x)=5x-15 g(x)=2x^2+4x-3	$f (x) = 5 x - 15$ $g (x) = 2 x^{2} + 4 x - 3$
183274	Solve for x	2/9x-4=2/3	$\frac{2}{9} x - 4 = \frac{2}{3}$
183275	Solve for a	(x^(2/3))^(5/6)=x^a	${(x^{\frac{2}{3}})}^{\frac{5}{6}} = x^{a}$
183276	Solve for x	3.5=360(0.5)^(x/4)	$3.5 = 360 {(0.5)}^{\frac{x}{4}}$
183277	Find All Complex Solutions	-\|x-4\|+2=-2x+7	$- \| x - 4 \| + 2 = - 2 x + 7$
183278	Simplify	(2p^3*2p)^2	${(2 p^{3} \cdot 2 p)}^{2}$
183279	Graph Using a Table of Values	y=1/(x-2)	$y = \frac{1}{x - 2}$
183280	Simplify	(5a-3a^2)-(-6a-6)	$(5 a - 3 a^{2}) - (- 6 a - 6)$
183281	Find the Domain and Range	y=\|2x\|	$y = \| 2 x \|$
183282	Find the Holes in the Graph	(-3x^2+3x)/(5x^2-30x+25)	$\frac{- 3 x^{2} + 3 x}{5 x^{2} - 30 x + 25}$
183283	Find g(f(x))	f(x)=4x^4-15 and g(x)=2x+11	$f (x) = 4 x^{4} - 15$ and $g (x) = 2 x + 11$
183284	Solve for x	x/(x+5)+(3x)/(x^2+7x+10)=2/(x+2)	$\frac{x}{x + 5} + \frac{3 x}{x^{2} + 7 x + 10} = \frac{2}{x + 2}$
183285	Solve the Inequality for t	t-5<=-7	$t - 5 \leq - 7$
183286	Graph	y<2x-8 y<=-x-2	$y < 2 x - 8$ $y \leq - x - 2$
183287	Find the Inverse	f(x)=(( seventh root of x)/7)^3	$f (x) = {(\frac{\sqrt[7]{x}}{7})}^{3}$
183288	Solve for x	5x+c=k	$5 x + c = k$
183289	Solve for b	c=a/(3b+8)	$c = \frac{a}{3 b + 8}$
183290	Graph	y=-f(-x)	$y = - f (- x)$
183291	Evaluate the Function	f(-3)=2^-3	$f (- 3) = 2^{- 3}$
183292	Convert to a Decimal	sin(75)deg	$\sin (75)$ degrees
183293	Simplify the Radical Expression	square root of 25/128	$\sqrt{\frac{25}{128}}$
183294	Solve the Inequality for x	(x+1)(x-3)^2<0	$(x + 1) {(x - 3)}^{2} < 0$
183295	Find the x and y Intercepts	f(x)=(-4x+15)/5	$f (x) = \frac{- 4 x + 15}{5}$
183296	Graph	f(x)=x^2-4 , x<=0	$f (x) = x^{2} - 4$ , $x \leq 0$
183297	Write in Standard Form	1/2x-3=x^2	$\frac{1}{2} x - 3 = x^{2}$
183298	Factor	3x(a-2)-2y(a-2)	$3 x (a - 2) - 2 y (a - 2)$
183299	Evaluate	y-y_1=m(x-x_1)	$y - y_{1} = m (x - x_{1})$
183300	Solve for x	1600=780(1.015)^(x/5)	$1600 = 780 {(1.015)}^{\frac{x}{5}}$