Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
198601	Simplify	(( square root of 5)/2+3/4i)^2	${(\frac{\sqrt{5}}{2} + \frac{3}{4} i)}^{2}$
198602	Find All Complex Solutions	x^4+4x^3-3x^2-16x-4=0	$x^{4} + 4 x^{3} - 3 x^{2} - 16 x - 4 = 0$
198603	Solve the Inequality for x	(x^2(x+5)^3)/(3-x)<=0	$\frac{x^{2} {(x + 5)}^{3}}{(3 - x)} \leq 0$
198604	Evaluate	square root of x+10-1=x	$\sqrt{x + 10} - 1 = x$
198605	Simplify	2 log base 4 of 9- log base 2 of 3	$2 \log_{4} (9) - \log_{2} (3)$
198606	Solve for x	2x-1-(3x+3)/2=(2x-5)/14	$2 x - 1 - \frac{3 x + 3}{2} = \frac{2 x - 5}{14}$
198607	Solve the System of Equations	2x+2y+5z=-1 2x-y+z=2 2x+4y-3z=14	$2 x + 2 y + 5 z = - 1$ $2 x - y + z = 2$ $2 x + 4 y - 3 z = 14$
198608	Write in Standard Form	3c(2c+2)=9	$3 c (2 c + 2) = 9$
198609	Evaluate	10+4(3+2)+5+(12÷6)	$10 + 4 (3 + 2) + 5 + (12 \div 6)$
198610	Graph	yy<=-1/3x-1	$y \cdot y \leq - \frac{1}{3} x - 1$
198611	Find the Domain and Range	s(y)=(3y)/(y+5)	$s (y) = \frac{3 y}{y + 5}$
198612	Factor	4(3x-2)^2-9(x-1)^2	$4 {(3 x - 2)}^{2} - 9 {(x - 1)}^{2}$
198613	Factor	3x^(3/2)-9x^(1/2)+6x^(-1/2)	$3 x^{\frac{3}{2}} - 9 x^{\frac{1}{2}} + 6 x^{\frac{- 1}{2}}$
198614	Solve for x	(2x+8)/9+(x+1)/6=2x-7	$\frac{2 x + 8}{9} + \frac{x + 1}{6} = 2 x - 7$
198615	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-4+6x^5-2x^3+2x^4-10x^2	$f (x) = - 4 + 6 x^{5} - 2 x^{3} + 2 x^{4} - 10 x^{2}$
198616	Solve the Inequality for x	49x^2-42x>-9	$49 x^{2} - 42 x > - 9$
198617	Solve for P	-1/k natural log of P/14.7=A	$\frac{- 1}{k} \ln (\frac{P}{14.7}) = A$
198618	Evaluate	sin(2theta)=( square root of 3)/2	$\sin (2 θ) = \frac{\sqrt{3}}{2}$
198619	Solve for x	3x=2(x-1)	$3 x = 2 (x - 1)$
198620	Find the Product	(a^6+7)(a^6-9)	$(a^{6} + 7) (a^{6} - 9)$
198621	Evaluate	6--10	$6 - - 10$
198622	Solve for x	(1/3)^(x+4)>=(1/9)^x	${(\frac{1}{3})}^{x + 4} \geq {(\frac{1}{9})}^{x}$
198623	Multiply	(7/9ab^2)(3/7ab^7)	$(\frac{7}{9} a b^{2}) (\frac{3}{7} a b^{7})$
198624	Solve for q	q^2+20q=-104	$q^{2} + 20 q = - 104$
198625	Simplify	((a^2-b^2)/(ab))/((a-b)/b)	$\frac{\frac{a^{2} - b^{2}}{a b}}{\frac{a - b}{b}}$
198626	Evaluate	-2(2/5)^1	$- 2 {(\frac{2}{5})}^{1}$
198627	Solve for x	3x+2(x-4)=4(x-1)-x	$3 x + 2 (x - 4) = 4 (x - 1) - x$
198628	Evaluate	6^2+3-3^2	$6^{2} + 3 - 3^{2}$
198629	Solve for m	m-5=2/7	$m - 5 = \frac{2}{7}$
198630	Find the Function	f(x)=x^2-2x-1	$f (x) = x^{2} - 2 x - 1$
198631	Simplify	(8x^2+3x)-(12x^2-1)	$(8 x^{2} + 3 x) - (12 x^{2} - 1)$
198632	Solve for x	(x+5)x=104	$(x + 5) x = 104$
198633	Find the Exact Value	(a-b)^2	${(a - b)}^{2}$
198634	Find the End Behavior	f(x)=1456x^2-4x^6+1160x^3+52x^4-40x^5-6400-4000x	$f (x) = 1456 x^{2} - 4 x^{6} + 1160 x^{3} + 52 x^{4} - 40 x^{5} - 6400 - 4000 x$
198635	Solve for t	4t^2-2t-3=-6t	$4 t^{2} - 2 t - 3 = - 6 t$
198636	Solve for s	1<=s-8	$1 \leq s - 8$
198637	Find the Sum and Product of the Roots of the Quadratic Equation	2x^2-x+5=0	$2 x^{2} - x + 5 = 0$
198638	Solve for x	5/2x+7/2=3/4x+14	$\frac{5}{2} x + \frac{7}{2} = \frac{3}{4} x + 14$
198639	Solve Using the Quadratic Formula	f(x)=x^2-4	$f (x) = x^{2} - 4$
198640	Find the Domain and Range	r(x)=(x^2-6x-7)/(x+1)	$r (x) = \frac{x^{2} - 6 x - 7}{x + 1}$
198641	Solve for x	(3x)/(x^2+5x+6)+2/(x^2+x-2)=(5x)/(x^2+2x-3)	$\frac{3 x}{x^{2} + 5 x + 6} + \frac{2}{x^{2} + x - 2} = \frac{5 x}{x^{2} + 2 x - 3}$
198642	Simplify	fourth root of 36x^3y^2* fourth root of 36xy^2	$\sqrt[4]{36 x^{3} y^{2}} \cdot \sqrt[4]{36 x y^{2}}$
198643	Solve for x	262144^(x-2)=(1/512)^(-3x+3)	$262144^{x - 2} = {(\frac{1}{512})}^{- 3 x + 3}$
198644	Solve for x	1/3y-x^2+2x=-5	$\frac{1}{3} y - x^{2} + 2 x = - 5$
198645	Solve the System of Equations	-2/5x+3y=-1/5 1/2x-1/3y=-10	$- \frac{2}{5} x + 3 y = - \frac{1}{5}$ $\frac{1}{2} x - \frac{1}{3} y = - 10$
198646	Evaluate	(1/5)^2*(-4)^3	${(\frac{1}{5})}^{2} \cdot {(- 4)}^{3}$
198647	Factor by Grouping	27x^3-64y^3	$27 x^{3} - 64 y^{3}$
198648	Solve the Inequality for x	-x-2(-1/2x-4/5)>7/5-3x	$- x - 2 (- \frac{1}{2} x - \frac{4}{5}) > \frac{7}{5} - 3 x$
198649	Solve for y	x=1/2y^2-z	$x = \frac{1}{2} y^{2} - z$
198650	Solve the System of Equations	x+5y=7 -x+5y=3	$x + 5 y = 7$ $- x + 5 y = 3$
198651	Solve the Inequality for x	x(x-1)<=12	$x (x - 1) \leq 12$
198652	Solve the Inequality for x	3x+4>=3(x-7)	$3 x + 4 \geq 3 (x - 7)$
198653	Solve for θ	tan(theta)^2-1=0	$\tan^{2} (θ) - 1 = 0$
198654	Find the Exact Value	cos(60 degrees )+sin(30 degrees )	$\cos (60 °) + \sin (30 °)$
198655	Solve for x	square root of x-1 = square root of x-9	$\sqrt{x} - 1 = \sqrt{x - 9}$
198656	Find the Axis of Symmetry	y^2+4x-14y=-53	$y^{2} + 4 x - 14 y = - 53$
198657	Solve for x	log base square root of 3 of x=2	$\log_{\sqrt{3}} (x) = 2$
198658	Simplify	(2x-2)^2-(2x-2)	${(2 x - 2)}^{2} - (2 x - 2)$
198659	Graph	g(x)=f(x-1)+3	$g (x) = f (x - 1) + 3$
198660	Simplify	(x^2-144)-(x^2-24x+144)	$(x^{2} - 144) - (x^{2} - 24 x + 144)$
198661	Solve the System of Equations	y=x^2+4x 2x-y=-8	$y = x^{2} + 4 x$ $2 x - y = - 8$
198662	Solve for x	\|x-3\|=3-x	$\| x - 3 \| = 3 - x$
198663	Write in Standard Form	(2x+1)^2=5x	${(2 x + 1)}^{2} = 5 x$
198664	Find the End Behavior	f(x)=3x^5+672x^2+816x+384+264x^3+48x^4	$f (x) = 3 x^{5} + 672 x^{2} + 816 x + 384 + 264 x^{3} + 48 x^{4}$
198665	Solve for x	-x^2+3=0	$- x^{2} + 3 = 0$
198666	Simplify	((3x^(2/3))^3)/((6x^(-1/3))^2)	$\frac{{(3 x^{\frac{2}{3}})}^{3}}{{(6 x^{- \frac{1}{3}})}^{2}}$
198667	Subtract	-5/2-1/2	$- \frac{5}{2} - \frac{1}{2}$
198668	Solve the Inequality for y	-6>=9-5y	$- 6 \geq 9 - 5 y$
198669	Simplify	(11x-8y)-(x-5y)	$(11 x - 8 y) - (x - 5 y)$
198670	Write in Standard Form	5x+2(3x+4(5x-8(2x+4)-9)+5x)+600=56	$5 x + 2 (3 x + 4 (5 x - 8 (2 x + 4) - 9) + 5 x) + 600 = 56$
198671	Find the End Behavior	R(x)=-x^5+5x^3-4x	$R (x) = - x^{5} + 5 x^{3} - 4 x$
198672	Evaluate	2pi(2.5)	$2 π (2.5)$
198673	Solve the System of Equations	y=x^2-5x+6 y=-4x+6	$y = x^{2} - 5 x + 6$ $y = - 4 x + 6$
198674	Evaluate	log base x of 25=2	$\log_{x} (25) = 2$
198675	Solve by Completing the Square	x^2+16x-145=10x-7	$x^{2} + 16 x - 145 = 10 x - 7$
198676	Find the Domain and Range	y=x^3+x	$y = x^{3} + x$
198677	Evaluate	(x+3)(x+8)	$(x + 3) (x + 8)$
198678	Solve the System of Equations	y=5x+13 y=x+45	$y = 5 x + 13$ $y = x + 45$
198679	Graph	f(x)=3+x if x<-1; x^2 if -1<=x<1; 2-x if x>=1	$f (x) = {\begin{cases} 3 + x & x < - 1 \\ x^{2} & - 1 \leq x < 1 \\ 2 - x & x \geq 1 \end{cases}$
198680	Factor	d^3e^6f^9-216	$d^{3} e^{6} f^{9} - 216$
198681	Solve for g	g+8<=2g+5	$g + 8 \leq 2 g + 5$
198682	Find the Product	(a^3-b^3)^2	${(a^{3} - b^{3})}^{2}$
198683	Divide	3 3/4÷2 1/2	$3 \frac{3}{4} \div 2 \frac{1}{2}$
198684	Find the Holes in the Graph	f(x)=(x^2-x-6)/(x^2-2x-8)	$f (x) = \frac{x^{2} - x - 6}{x^{2} - 2 x - 8}$
198685	Solve the Inequality for x	(x+5)(x^2-9)(1-x)>0	$(x + 5) (x^{2} - 9) (1 - x) > 0$
198686	Simplify	xy^2 cube root of 16x^10y^8	$x y^{2} \sqrt[3]{16 x^{10} y^{8}}$
198687	Solve the Inequality for x	\|x-5\|<=2	$\| x - 5 \| \leq 2$
198688	Solve the Inequality for x	x^2>4(x+8)	$x^{2} > 4 (x + 8)$
198689	Graph	f(x)=(ax^n+bx^5+36)/(cx^m-dx^2+9)	$f (x) = \frac{a x^{n} + b x^{5} + 36}{c x^{m} - d x^{2} + 9}$
198690	Find the Product	(2x+5)(2x+5)	$(2 x + 5) (2 x + 5)$
198691	Evaluate	cube root of -1/2	$\sqrt[3]{- \frac{1}{2}}$
198692	Factor	x^3-3^3	$x^{3} - 3^{3}$
198693	Solve for x	k(x)=7x , k(x)=49	$k (x) = 7 x$ , $k (x) = 49$
198694	Solve for n	n^2+9=6n	$n^{2} + 9 = 6 n$
198695	Find the Product	(7x^2-3)(8x^2-7x+5)	$(7 x^{2} - 3) (8 x^{2} - 7 x + 5)$
198696	Find the Equation Using Point-Slope Formula	(3,6) and (5,-8)	$(3, 6)$ and $(5, - 8)$
198697	Find the End Behavior	f(x)=-8x^5-1408x-512x^3+104x^4+640+1216x^2	$f (x) = - 8 x^{5} - 1408 x - 512 x^{3} + 104 x^{4} + 640 + 1216 x^{2}$
198698	Solve for x	x^2+35=5x	$x^{2} + 35 = 5 x$
198699	Solve for x	(x-3)/3+(x-2)/2=-2	$\frac{x - 3}{3} + \frac{x - 2}{2} = - 2$
198700	Simplify	square root of -14* square root of 18	$\sqrt{- 14} \cdot \sqrt{18}$