Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
176801	Find All Complex Solutions	cos(x)^2+2cos(x)-3=0	$\cos^{2} (x) + 2 \cos (x) - 3 = 0$
176802	Solve Using the Quadratic Formula	2(x^2-6)+8=10	$2 (x^{2} - 6) + 8 = 10$
176803	Evaluate	1000(0.5)^(80/30)	$1000 {(0.5)}^{\frac{80}{30}}$
176804	Solve by Substitution	y=x -2x+4y=16	$y = x$ $- 2 x + 4 y = 16$
176805	Find the First Term	a_n=2(3)^(n-1)	$a_{n} = 2 {(3)}^{n - 1}$
176806	Find the Midpoint	(-6,-6) and (4,-2)	$(- 6, - 6)$ and $(4, - 2)$
176807	Solve for f	f+1/4=-7/2	$f + \frac{1}{4} = - \frac{7}{2}$
176808	Multiply	3x*3x^2	$3 x \cdot 3 x^{2}$
176809	Solve for x	(6x)/(x+6)-1=8/(x^2+6x)	$\frac{6 x}{x + 6} - 1 = \frac{8}{x^{2} + 6 x}$
176810	Solve Using the Quadratic Formula	1/x+1/(x-2)=1/4	$\frac{1}{x} + \frac{1}{x - 2} = \frac{1}{4}$
176811	Find the Exact Value	(-1/3)^3	${(- \frac{1}{3})}^{3}$
176812	Simplify	square root of 125x^6+10x square root of 5x^4	$\sqrt{125 x^{6}} + 10 x \sqrt{5 x^{4}}$
176813	Divide	7 1/4÷1 7/8	$7 \frac{1}{4} \div 1 \frac{7}{8}$
176814	Find the Axis of Symmetry	3x^2=-12y	$3 x^{2} = - 12 y$
176815	Find the Domain and Range	y=(2x)^(1/3)-7	$y = {(2 x)}^{\frac{1}{3}} - 7$
176816	Simplify	xy-(4x^5)/(x^2-xy)	$x y - \frac{4 x^{5}}{x^{2} - x y}$
176817	Find the Holes in the Graph	f(x)=(-3x^2-15x)/(x^2+7x+10)	$f (x) = \frac{- 3 x^{2} - 15 x}{x^{2} + 7 x + 10}$
176818	Simplify	tan(theta)^2*cot(theta)^2	$\tan^{2} (θ) \cdot \cot^{2} (θ)$
176819	Factor	4x^2-1/9y^2	$4 x^{2} - \frac{1}{9} y^{2}$
176820	Solve for z	2z^2=10	$2 z^{2} = 10$
176821	Graph Using a Table of Values	y=(x+3)^2	$y = {(x + 3)}^{2}$
176822	Find the Axis of Symmetry	y=(x+3)^2	$y = {(x + 3)}^{2}$
176823	Simplify	32/(12x^3)	$\frac{32}{12 x^{3}}$
176824	Simplify	((a^2b^3)^4)/((ab^-2)^-3)	$\frac{{(a^{2} b^{3})}^{4}}{{(a b^{- 2})}^{- 3}}$
176825	Describe the Transformation	h(x)=-x^2	$h (x) = - x^{2}$
176826	Divide	(3x^2)/(3x)	$\frac{3 x^{2}}{3 x}$
176827	Simplify	(5^2)^-1	${(5^{2})}^{- 1}$
176828	Solve the Absolute Value Inequality for x	\|x-1\|=8	$\| x - 1 \| = 8$
176829	Find the Product	(7r^2-6r-6)(2r-4)	$(7 r^{2} - 6 r - 6) (2 r - 4)$
176830	Find the Perfect Square Trinomial	9x^2+12x+4	$9 x^{2} + 12 x + 4$
176831	Factor	(4x^2-1)	$(4 x^{2} - 1)$
176832	Find the Exact Value	log base 11 of 121	$\log_{11} (121)$
176833	Solve for x	-4>=10-7x	$- 4 \geq 10 - 7 x$
176834	Evaluate	square root of (x-3)^2-8(x-3)	$\sqrt{{(x - 3)}^{2} - 8 (x - 3)}$
176835	Find the Product	(3x-4)(4x+3)	$(3 x - 4) (4 x + 3)$
176836	Simplify	(625^2)^(1/8)	${(625^{2})}^{\frac{1}{8}}$
176837	Solve for g	2/5(g-7)=3	$\frac{2}{5} (g - 7) = 3$
176838	Solve the Inequality for p	4p+4>=12	$4 p + 4 \geq 12$
176839	Simplify	-1/6	$\frac{- 1}{6}$
176840	Solve for k	8-3k=12	$8 - 3 k = 12$
176841	Graph	f(x)=1/4 cube root of x	$f (x) = \frac{1}{4} \sqrt[3]{x}$
176842	Divide	(x^3)/(x-1)	$\frac{x^{3}}{x - 1}$
176843	Solve for x	2^(-x)*2^(3x)=64	$2^{- x} \cdot 2^{3 x} = 64$
176844	Solve for x	2/3(x-18y)=6y	$\frac{2}{3} (x - 18 y) = 6 y$
176845	Simplify	(4xy^-2)/(-3yx^2*-2y^0)	$\frac{4 x y^{- 2}}{- 3 y x^{2} \cdot - 2 y^{0}}$
176846	Write in Standard Form	3x^2-2x=-5-2x^2	$3 x^{2} - 2 x = - 5 - 2 x^{2}$
176847	Graph	y=-e^(x-6)	$y = - e^{x - 6}$
176848	Write in Exponential Form	(5^2)(5^8)	$(5^{2}) (5^{8})$
176849	Solve for n	16=-(2+n)	$16 = - (2 + n)$
176850	Simplify	-(7)^0	$- {(7)}^{0}$
176851	Solve for x	1/(x-1)+1/(x+1)=(4x+2)/(x^2-1)	$\frac{1}{x - 1} + \frac{1}{x + 1} = \frac{4 x + 2}{x^{2} - 1}$
176852	Solve for f	1/3(3/4f+3)-2=1/2(2f-4)	$\frac{1}{3} (\frac{3}{4} f + 3) - 2 = \frac{1}{2} (2 f - 4)$
176853	Multiply	5 1/6*(-2/5)	$5 \frac{1}{6} \cdot (- \frac{2}{5})$
176854	Simplify	((x^2+3x-10)/(x^2-2x-15))÷((x^2+x-6)/(x^2+6x+9))	$\frac{x^{2} + 3 x - 10}{x^{2} - 2 x - 15} \div \frac{x^{2} + x - 6}{x^{2} + 6 x + 9}$
176855	Simplify	4(x-5)(x^2+x+2)	$4 (x - 5) (x^{2} + x + 2)$
176856	Simplify	x square root of 54x^6y^5	$x \sqrt{54 x^{6} y^{5}}$
176857	Graph Using a Table of Values	g(x)=10^x	$g (x) = 10^{x}$
176858	Solve the Inequality for x	x-1<=-9	$x - 1 \leq - 9$
176859	Simplify	x^2y^2 square root of 108x^4y^3	$x^{2} y^{2} \sqrt{108 x^{4} y^{3}}$
176860	Find the Holes in the Graph	f(x)=(x^2-7x)/(x^2-17x+72)	$f (x) = \frac{x^{2} - 7 x}{x^{2} - 17 x + 72}$
176861	Graph	2n-3>=5n-6	$2 n - 3 \geq 5 n - 6$
176862	Simplify the Radical Expression	2/( square root of 5)	$\frac{2}{\sqrt{5}}$
176863	Graph	(y+1)^2=x-4	${(y + 1)}^{2} = x - 4$
176864	Solve for y	square root of y- square root of 7 = square root of y+7	$\sqrt{y} - \sqrt{7} = \sqrt{y + 7}$
176865	Solve for a	x^3x^(3/5)=x^a	$x^{3} x^{\frac{3}{5}} = x^{a}$
176866	Find the Roots (Zeros)	2x^2+5x-6=-3	$2 x^{2} + 5 x - 6 = - 3$
176867	Find the Inverse	y=(1/2)^x	$y = {(\frac{1}{2})}^{x}$
176868	Solve for x	4.5(8-x)+36=102-2.5(3x+24)	$4.5 (8 - x) + 36 = 102 - 2.5 (3 x + 24)$
176869	Solve for t	S=1/2(V_0+V_1)t	$S = \frac{1}{2} (V_{0} + V_{1}) t$
176870	Graph	y^2+4x-14y=-53	$y^{2} + 4 x - 14 y = - 53$
176871	Subtract	7/2-1/2	$\frac{7}{2} - \frac{1}{2}$
176872	Simplify	((z^2)/(5^4))^4	${(\frac{z^{2}}{5^{4}})}^{4}$
176873	Solve the Inequality for x	x^2+6x+9<0	$x^{2} + 6 x + 9 < 0$
176874	Simplify	(7a^2b^3+5x^4)^2	${(7 a^{2} b^{3} + 5 x^{4})}^{2}$
176875	Simplify	(3-2i)/(4-3i)	$\frac{3 - 2 i}{4 - 3 i}$
176876	Find the Product	(3x-8)^2	${(3 x - 8)}^{2}$
176877	Combine Like Terms	(7m^6+6)(7m^6-6)	$(7 m^{6} + 6) (7 m^{6} - 6)$
176878	Solve for y	y = square root of 2+14	$y = \sqrt{2 + 14}$
176879	Find the Excluded Values	(x^2+3x-4)/(x^2+4x+4)*(2x^2+4x)/(x^2-4x+3)	$\frac{x^{2} + 3 x - 4}{x^{2} + 4 x + 4} \cdot \frac{2 x^{2} + 4 x}{x^{2} - 4 x + 3}$
176880	Solve for x	(x+1)/(2x+6)-9/(x^2-9)=(x-2)/(2x-6)	$\frac{x + 1}{2 x + 6} - \frac{9}{x^{2} - 9} = \frac{x - 2}{2 x - 6}$
176881	Divide	(x^3y^2+x^4y^2+x^5y^2)/(x^6y)	$\frac{x^{3} y^{2} + x^{4} y^{2} + x^{5} y^{2}}{x^{6} y}$
176882	Simplify	(-bc+3b-4c)+(bc+3b+4c)	$(- b c + 3 b - 4 c) + (b c + 3 b + 4 c)$
176883	Solve for x	6x^2+7x+9=11x^2	$6 x^{2} + 7 x + 9 = 11 x^{2}$
176884	Solve for x	10^x+5=60	$10^{x} + 5 = 60$
176885	Factor	12c^2d^2-24cd^2+6c^3d^2	$12 c^{2} d^{2} - 24 c d^{2} + 6 c^{3} d^{2}$
176886	Multiply	(6y-1/2q^2)(6y+1/2q^2)	$(6 y - \frac{1}{2} q^{2}) (6 y + \frac{1}{2} q^{2})$
176887	Write in Standard Form	(x+3)(x-3)=x(4x+5)	$(x + 3) (x - 3) = x (4 x + 5)$
176888	Find the x and y Intercepts	4x+3y	$4 x + 3 y$
176889	Find the Exact Value	(-5)^-3	${(- 5)}^{- 3}$
176890	Simplify	(9x^38)/(6(x^6)^3x)	$\frac{9 x^{38}}{6 {(x^{6})}^{3} x}$
176891	Solve for u	2(u+1)+7=3(u-2)+2u	$2 (u + 1) + 7 = 3 (u - 2) + 2 u$
176892	Graph	[8,infinity)	$[8, \infty)$
176893	Simplify	x(x+1)(2x+1)	$x (x + 1) (2 x + 1)$
176894	Factor	5xy+3x^2-2xy^2	$5 x y + 3 x^{2} - 2 x y^{2}$
176895	Solve for x	log base 2 of 2x-3 log base 2 of 2=3	$\log_{2} (2 x) - 3 \log_{2} (2) = 3$
176896	Evaluate	3(2)^2-2-2	$3 {(2)}^{2} - 2 - 2$
176897	Find g(f(x))	f(x)=7x and g(x)=x/7	$f (x) = 7 x$ and $g (x) = \frac{x}{7}$
176898	Write in Standard Form	6+3x^2=-8x+2x^2-5	$6 + 3 x^{2} = - 8 x + 2 x^{2} - 5$
176899	Find the Roots (Zeros)	(2t+3)^2+(t+4)^2=10	${(2 t + 3)}^{2} + {(t + 4)}^{2} = 10$
176900	Solve for x	(x+7)^(1/2)=(1-5x)^(1/2)	${(x + 7)}^{\frac{1}{2}} = {(1 - 5 x)}^{\frac{1}{2}}$