Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
224701	Solve for x	(7x+6)^(1/2)-(9+4x)^(1/2)=0	${(7 x + 6)}^{\frac{1}{2}} - {(9 + 4 x)}^{\frac{1}{2}} = 0$
224702	Multiply	(a-2)(4a^3-3a^2)	$(a - 2) (4 a^{3} - 3 a^{2})$
224703	Find the Complex Conjugate	3(cos(pi)+isin(pi))	$3 (\cos (π) + i \sin (π))$
224704	Find the Exact Value	( square root of 2)/2*1/2	$\frac{\sqrt{2}}{2} \cdot \frac{1}{2}$
224705	Find All Complex Solutions	x^3+x=0	$x^{3} + x = 0$
224706	Solve the System of Inequalities	3x+4y<28 x-2y<=0	$3 x + 4 y < 28$ $x - 2 y \leq 0$
224707	Simplify	(ab^4*b^2x^4)^(1/2)	${(a b^{4} \cdot b^{2} x^{4})}^{\frac{1}{2}}$
224708	Solve for n	t(n)=24-5n	$t (n) = 24 - 5 n$
224709	Find the Domain and Range	y=2pisec(2x)	$y = 2 π \sec (2 x)$
224710	Find the Exact Value	\|3+9i\|	$\| 3 + 9 i \|$
224711	Solve for x	( cube root of 6)^(2x)=( square root of 6)^(x+6)	${(\sqrt[3]{6})}^{2 x} = {(\sqrt{6})}^{x + 6}$
224712	Solve for x	3xy-2x+4y=100	$3 x y - 2 x + 4 y = 100$
224713	Solve for x	cube root of 4x^2-4x=x	$\sqrt[3]{4 x^{2} - 4 x} = x$
224714	Find the LCD	3/(2x) and 4/(3x+1)	$\frac{3}{2 x}$ and $\frac{4}{3 x + 1}$
224715	Solve for x	x=-2+4/5x-3	$x = - 2 + \frac{4}{5} x - 3$
224716	Find the Domain and Range	x+1/x	$x + \frac{1}{x}$
224717	Simplify	(cos(2x))/(cos(x)^2)	$\frac{\cos (2 x)}{\cos^{2} (x)}$
224718	Multiply	e^(-x)*e^x	$e^{- x} \cdot e^{x}$
224719	Find the Domain and Range	y=2(2^x-1)	$y = 2 (2^{x} - 1)$
224720	Evaluate	sin(theta)-sin(theta)cos(theta)^2	$\sin (θ) - \sin (θ) \cos^{2} (θ)$
224721	Simplify	7b(4c-b)+4c(c-7b)	$7 b (4 c - b) + 4 c (c - 7 b)$
224722	Simplify	9x+6-4x-2x+1-15	$9 x + 6 - 4 x - 2 x + 1 - 15$
224723	Solve for x	log base 3 of x^2+2x = log base 3 of x+2	$\log_{3} (x^{2} + 2 x) = \log_{3} (x + 2)$
224724	Factor by Grouping	(3m-2)^2-m^2	${(3 m - 2)}^{2} - m^{2}$
224725	Solve the System of Equations	3x+2y+z=20 x-4y-z=-10 2x+y+2z=15	$3 x + 2 y + z = 20$ $x - 4 y - z = - 10$ $2 x + y + 2 z = 15$
224726	Solve by Completing the Square	7+2x-x^2=0	$7 + 2 x - x^{2} = 0$
224727	Solve for x	(3x)/2-2/(x-2)=x	$\frac{3 x}{2} - \frac{2}{x - 2} = x$
224728	Factor	x^3-2x^2y+xy^2-2y^3	$x^{3} - 2 x^{2} y + x y^{2} - 2 y^{3}$
224729	Simplify	x^6y^4(x^4-16)-9(x^4-16)	$x^{6} y^{4} (x^{4} - 16) - 9 (x^{4} - 16)$
224730	Rationalize the Denominator	-8/(-8+ square root of 10)	$\frac{- 8}{- 8 + \sqrt{10}}$
224731	Convert to Radical Form	-2(xy)^(1/2)	$- 2 {(x y)}^{\frac{1}{2}}$
224732	Multiply	(3x^2+x-5)(2x^2+x+3)	$(3 x^{2} + x - 5) (2 x^{2} + x + 3)$
224733	Find the Quadratic Equation Given the Roots	-5+2i , -5i	$- 5 + 2 i$ , $- 5 i$
224734	Find the Inverse	What is the inverse function of the f(x)=(3x+1)/5 ?	What is the inverse function of the $f (x) = \frac{3 x + 1}{5}$ ?
224735	Solve for y	M=(x-y)/3	$M = \frac{x - y}{3}$
224736	Find the x and y Intercepts	f(x)=3*(1/4)^x-3	$f (x) = 3 \cdot {(\frac{1}{4})}^{x} - 3$
224737	Solve the Inequality for p	2-9\|p+7\|>-16	$2 - 9 \| p + 7 \| > - 16$
224738	Evaluate	2* square root of -4	$2 \cdot \sqrt{- 4}$
224739	Solve the Absolute Value Inequality for a	\|3-9a\|<=60	$\| 3 - 9 a \| \leq 60$
224740	Evaluate	((2y^5)^4)/(10y^15)	$\frac{{(2 y^{5})}^{4}}{10 y^{15}}$
224741	Divide	((1-h^2)/(2h^2-10h-12))÷((2h-2)/6)	$\frac{1 - h^{2}}{2 h^{2} - 10 h - 12} \div \frac{2 h - 2}{6}$
224742	Divide	((2r+2)/(r+2))÷((4r^2+8r+4)/(12r+12))	$\frac{2 r + 2}{r + 2} \div \frac{4 r^{2} + 8 r + 4}{12 r + 12}$
224743	Simplify	((18c^4)/(7d))÷(9c^2d)	$\frac{18 c^{4}}{7 d} \div (9 c^{2} d)$
224744	Simplify the Radical Expression	square root of 3*7 square root of 30	$\sqrt{3} \cdot 7 \sqrt{30}$
224745	Simplify	(-2x^4-5+4x+2x^3)-(2x^3-8x^4-4x+8)	$(- 2 x^{4} - 5 + 4 x + 2 x^{3}) - (2 x^{3} - 8 x^{4} - 4 x + 8)$
224746	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^4-2x^3-16x^2+17x-2 is divided by x-2	Use synthetic division to find the result when $3 x^{4} - 2 x^{3} - 16 x^{2} + 17 x - 2$ is divided by $x - 2$
224747	Find the Product	(-3+2j)(4j-7)	$(- 3 + 2 j) (4 j - 7)$
224748	Simplify	(4/5)/(-3/5)	$\frac{\frac{4}{5}}{- \frac{3}{5}}$
224749	Find the Exact Value	84^2-72+7	$8 \cdot 4^{2} - 7 \cdot 2 + 7$
224750	Evaluate	(1+-0.001)^(1/-0.001)	${(1 + - 0.001)}^{\frac{1}{- 0.001}}$
224751	Evaluate	tan((-4pi)/3)	$\tan (\frac{- 4 π}{3})$
224752	Simplify	((x+2)/(x^2-6x-16))	$(\frac{x + 2}{x^{2} - 6 x - 16})$
224753	Graph	\|2x-3\|<=-1	$\| 2 x - 3 \| \leq - 1$
224754	Convert to Radical Form	(225)^(1/2)	${(225)}^{\frac{1}{2}}$
224755	Evaluate the Function	f(x)=3(2)^x x=-1	$f (x) = 3 {(2)}^{x}$ $x = - 1$
224756	Graph Using a Table of Values	f(x)=2(1/5)^(x-5)	$f (x) = 2 {(\frac{1}{5})}^{x - 5}$
224757	Divide	((3x+15)/(x^2-4))÷((x+5)/(x-2))	$\frac{3 x + 15}{x^{2} - 4} \div \frac{x + 5}{x - 2}$
224758	Write in Standard Form	(2x^2)^3	${(2 x^{2})}^{3}$
224759	Solve the Inequality for x	18<6x<=60	$18 < 6 x \leq 60$
224760	Find the x and y Intercepts	4x+2i=8+yi	$4 x + 2 i = 8 + y i$
224761	Simplify	(x^2-4)/(4x-8)*4/(x-2)	$\frac{x^{2} - 4}{4 x - 8} \cdot \frac{4}{x - 2}$
224762	Multiply	(3 square root of 2)/2* square root of 2	$\frac{3 \sqrt{2}}{2} \cdot \sqrt{2}$
224763	Solve for x	(8-x)/x=3/2	$\frac{8 - x}{x} = \frac{3}{2}$
224764	Solve for x	(4x+4)/48=(7x-9)/60	$\frac{4 x + 4}{48} = \frac{7 x - 9}{60}$
224765	Convert to Radical Form	2^3*2	$2^{3} \cdot 2$
224766	Multiply	2^3*2	$2^{3} \cdot 2$
224767	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^4-5x^3+8x^2-4x-16 is divided by x-2	Use synthetic division to find the result when $2 x^{4} - 5 x^{3} + 8 x^{2} - 4 x - 16$ is divided by $x - 2$
224768	Divide	1 5/8÷2 1/2	$1 \frac{5}{8} \div 2 \frac{1}{2}$
224769	Solve for m	square root of 18-m = square root of m-4	$\sqrt{18 - m} = \sqrt{m - 4}$
224770	Solve for b	8(b+1)+4=3(2b-8)-16	$8 (b + 1) + 4 = 3 (2 b - 8) - 16$
224771	Evaluate	a=(10-2)/4	$a = \frac{10 - 2}{4}$
224772	Simplify	(30c^8d^3-36c^6d^2+6c^3d)/(12c^2d)	$\frac{30 c^{8} d^{3} - 36 c^{6} d^{2} + 6 c^{3} d}{12 c^{2} d}$
224773	Solve for x	(4x+3)/4-(2x)/(x+1)=x	$\frac{4 x + 3}{4} - \frac{2 x}{x + 1} = x$
224774	Evaluate	(2x^3)/(-8x^4)	$\frac{2 x^{3}}{- 8 x^{4}}$
224775	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (5,1) and has a slope of 6/5 ?	What is the equation of the line that passes through the point $(5, 1)$ and has a slope of $\frac{6}{5}$ ?
224776	Solve for A	sin(A)=1/2	$\sin (A) = \frac{1}{2}$
224777	Divide	(18xy^8)/(27x^7y^3)	$\frac{18 x y^{8}}{27 x^{7} y^{3}}$
224778	Solve the System of Equations	y=x^2+4x-17 15=3x-y	$y = x^{2} + 4 x - 17$ $15 = 3 x - y$
224779	Find All Complex Solutions	square root of x+72=5	$\sqrt{x + 72} = 5$
224780	Solve the Inequality for x	log base 3 of x+9<4	$\log_{3} (x + 9) < 4$
224781	Graph	f(x)=x+1 if x<0; -x+1 if 0<=x<=2; x-1 if x>2	$f (x) = {\begin{cases} x + 1 & x < 0 \\ - x + 1 & 0 \leq x \leq 2 \\ x - 1 & x > 2 \end{cases}$
224782	Solve the System of Equations	y+2.3=0.45x -2y=4.2x-7.8	$y + 2.3 = 0.45 x$ $- 2 y = 4.2 x - 7.8$
224783	Solve for x	x-3y=4 , x+2y=1	$x - 3 y = 4$ , $x + 2 y = 1$
224784	Determine if True	tan(theta)cot(theta)=1	$\tan (θ) \cot (θ) = 1$
224785	Simplify	square root of 4 square root of 2	$\sqrt{4 \sqrt{2}}$
224786	Simplify the Radical Expression	( cube root of 4)^6	${(\sqrt[3]{4})}^{6}$
224787	Solve for c	c=5/9x(f-32)	$c = \frac{5}{9} x (f - 32)$
224788	Write in Standard Form	(x+2)(2x+1)(4x-5)	$(x + 2) (2 x + 1) (4 x - 5)$
224789	Evaluate	pi*180/pi	$π \cdot \frac{180}{π}$
224790	Solve for x	(x-8)m=y	$(x - 8) m = y$
224791	Evaluate	(2x^2+3)(x+4)	$(2 x^{2} + 3) (x + 4)$
224792	Multiply	square root of x( square root of 5- square root of x)	$\sqrt{x} (\sqrt{5} - \sqrt{x})$
224793	Solve Using the Quadratic Formula	25m^2=396-m^4	$25 m^{2} = 396 - m^{4}$
224794	Simplify	-4-3p-7-3p-4	$- 4 - 3 p - 7 - 3 p - 4$
224795	Simplify	(4^2)/(4^0*4^-1)	$\frac{4^{2}}{4^{0} \cdot 4^{- 1}}$
224796	Factor	f(x)=x^3+3x^2+3x+1	$f (x) = x^{3} + 3 x^{2} + 3 x + 1$
224797	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^3+10x^2+3x-4 is divided by x+1	Use synthetic division to find the result when $3 x^{3} + 10 x^{2} + 3 x - 4$ is divided by $x + 1$
224798	Multiply	(32x^3y)/(5xy^2)*(15y)/(8x^2y^4)	$\frac{32 x^{3} y}{5 x y^{2}} \cdot \frac{15 y}{8 x^{2} y^{4}}$
224799	Simplify	a(a-b)+2ab	$a (a - b) + 2 a b$
224800	Solve for x	5x^2+16x+3=5x	$5 x^{2} + 16 x + 3 = 5 x$