Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
182801	Find All Complex Solutions	x/(x+3)=3/((x+2)(x+3))	$\frac{x}{x + 3} = \frac{3}{(x + 2) (x + 3)}$
182802	Find the Roots (Zeros)	f(x)=2x(3-x)(x+1)	$f (x) = 2 x (3 - x) (x + 1)$
182803	Solve the System of Equations	1/2x-3/5y=-2 1/4x-1/2y=3	$\frac{1}{2} x - \frac{3}{5} y = - 2$ $\frac{1}{4} x - \frac{1}{2} y = 3$
182804	Find the Roots (Zeros)	(x+1)^2(x-5)=0	${(x + 1)}^{2} (x - 5) = 0$
182805	Solve for x	4(2x-3)^2+14=34	$4 {(2 x - 3)}^{2} + 14 = 34$
182806	Solve the Inequality for x	(x+8)/(x-7)<=1	$\frac{x + 8}{x - 7} \leq 1$
182807	Solve the Rational Equation for x	1/(x-1)+1/(x+1)=(4x+2)/(x^2-1)	$\frac{1}{x - 1} + \frac{1}{x + 1} = \frac{4 x + 2}{x^{2} - 1}$
182808	Find the Exact Value	cos(60 degrees )cos(45 degrees )-sin(60 degrees )sin(45 degrees )	$\cos (60 °) \cos (45 °) - \sin (60 °) \sin (45 °)$
182809	Divide	((3x)/(2x+5))÷((2x)/(x+5))	$\frac{3 x}{2 x + 5} \div \frac{2 x}{x + 5}$
182810	Solve for n	-4n-8n+17=23	$- 4 n - 8 n + 17 = 23$
182811	Solve the Inequality for x	\|x\|>x-1	$\| x \| > x - 1$
182812	Determine if True	cos(90 degrees -theta)=sin(theta)	$\cos (90 ° - θ) = \sin (θ)$
182813	Solve the System of Equations	x-y=11 and 2x+y=19	$x - y = 11$ and $2 x + y = 19$
182814	Solve the Absolute Value Inequality for x	\|x-1\|>=2	$\| x - 1 \| \geq 2$
182815	Graph Using a Table of Values	y=- square root of x	$y = - \sqrt{x}$
182816	Evaluate	pi*1/4	$π \cdot \frac{1}{4}$
182817	Graph	4x+8y<=8 3x+y<=6	$4 x + 8 y \leq 8$ $3 x + y \leq 6$
182818	Solve Using the Quadratic Formula	z^2+3z-7=z	$z^{2} + 3 z - 7 = z$
182819	Graph	G(x)=1/x-5	$G (x) = \frac{1}{x} - 5$
182820	Find the Exact Value	cube root of 8/27	$\sqrt[3]{\frac{8}{27}}$
182821	Rationalize the Denominator	square root of 5/12	$\sqrt{\frac{5}{12}}$
182822	Simplify	(5^-4)^0	${(5^{- 4})}^{0}$
182823	Subtract	(-2x-10)-(10x^2+3)	$(- 2 x - 10) - (10 x^{2} + 3)$
182824	Find the Domain and Range	y=(x^2+8)/2	$y = \frac{x^{2} + 8}{2}$
182825	Graph	f(x)=x+5,x<-2; -2x-1,x>=-2	$f (x) = {\begin{cases} x + 5, x < - 2 \\ - 2 x - 1, x \geq - 2 \end{cases}$
182826	Find the Inverse	t(d)=(12.5/d)^3	$t (d) = {(\frac{12.5}{d})}^{3}$
182827	Simplify	-6x-2y+8+5x-1	$- 6 x - 2 y + 8 + 5 x - 1$
182828	Find the x and y Intercepts	y=(2x^2+5x-3)/(x+3)	$y = \frac{2 x^{2} + 5 x - 3}{x + 3}$
182829	Graph	a(x)=3 if x<-3; -x+2 if -3<=x<=3; 2x-4 if x>3	$a (x) = {\begin{cases} 3 & x < - 3 \\ - x + 2 & - 3 \leq x \leq 3 \\ 2 x - 4 & x > 3 \end{cases}$
182830	Graph	y>=-2x^2+9x-4	$y \geq - 2 x^{2} + 9 x - 4$
182831	Find the x and y Intercepts	R(x)=(x^2+x-12)/(x^2-x-6)	$R (x) = \frac{x^{2} + x - 12}{x^{2} - x - 6}$
182832	Simplify	(2+3i)/(2+i)	$\frac{2 + 3 i}{2 + i}$
182833	Simplify	(7(x/4)-3)/(5(x/4)-1)	$\frac{7 (\frac{x}{4}) - 3}{5 (\frac{x}{4}) - 1}$
182834	Describe the Transformation	y=g(x)	$y = g (x)$
182835	Solve for vᵢ	a=(v_f-v_i)/t	$a = \frac{v_{f} - v_{i}}{t}$
182836	Graph	-7<=y+2x<14	$- 7 \leq y + 2 x < 14$
182837	Simplify	square root of -3* square root of -8	$\sqrt{- 3} \cdot \sqrt{- 8}$
182838	Find All Complex Solutions	2sin(2x)+ square root of 3=0	$2 \sin (2 x) + \sqrt{3} = 0$
182839	Solve for x	3(4-x)+6x=4x+12-x	$3 (4 - x) + 6 x = 4 x + 12 - x$
182840	Find the First Term	a_n=3(2)^(n-1)	$a_{n} = 3 {(2)}^{n - 1}$
182841	Graph	{x\|x>=-4}	${x \| x \geq - 4}$
182842	Solve the System of Equations	y=-x+2 y=2x-4	$y = - x + 2$ $y = 2 x - 4$
182843	Find the x and y Intercepts	g(x)=3-1/2x^2	$g (x) = 3 - \frac{1}{2} x^{2}$
182844	Find the Exact Value	(2x)^2	${(2 x)}^{2}$
182845	Evaluate	3/4\|-4-2(6)^2\|	$\frac{3}{4} \| - 4 - 2 {(6)}^{2} \|$
182846	Solve for x	d(-3+x)=kx+9	$d (- 3 + x) = k x + 9$
182847	Write in Standard Form	y=(x-5)^2	$y = {(x - 5)}^{2}$
182848	Graph	y=1/2(x+3)^2-4	$y = \frac{1}{2} {(x + 3)}^{2} - 4$
182849	Evaluate	-3/5+(-8/2)	$- \frac{3}{5} + (- \frac{8}{2})$
182850	Solve for a	a=pi*7^2	$a = π \cdot 7^{2}$
182851	Solve Using the Quadratic Formula	f(x)=x^2+6x+9	$f (x) = x^{2} + 6 x + 9$
182852	Find the Sum and Product of the Roots of the Quadratic Equation	3x^2-5x+2=0	$3 x^{2} - 5 x + 2 = 0$
182853	Solve for x	log base 2x of x^2+9x-6=2	$\log_{2 x} (x^{2} + 9 x - 6) = 2$
182854	Evaluate	sin(theta)=3/5	$\sin (θ) = \frac{3}{5}$
182855	Solve the Inequality for s	-4s<6s+1	$- 4 s < 6 s + 1$
182856	Solve for x	5x+1+62=18x+11	$5 x + 1 + 62 = 18 x + 11$
182857	Solve Using the Quadratic Formula	2/p+3/(p+1)=5	$\frac{2}{p} + \frac{3}{p + 1} = 5$
182858	Solve for x	4^(2x+6)<=64^(2x-4)	$4^{2 x + 6} \leq 64^{2 x - 4}$
182859	Simplify	cube root of (2^15)/(3^2)	$\sqrt[3]{\frac{2^{15}}{3^{2}}}$
182860	Find the x and y Intercepts	2x+y-4=0	$2 x + y - 4 = 0$
182861	Solve Using the Quadratic Formula	2x^2+15x+38=x^2	$2 x^{2} + 15 x + 38 = x^{2}$
182862	Evaluate	81^x=3	$81^{x} = 3$
182863	Solve the Rational Equation for x	square root of 2x+3- square root of x+1=1	$\sqrt{2 x + 3} - \sqrt{x + 1} = 1$
182864	Graph	f(x)=-5x-21 if x<=-3; x-9 if x>4	$f (x) = {\begin{cases} - 5 x - 21 & x \leq - 3 \\ x - 9 & x > 4 \end{cases}$
182865	Solve for x	-11x^2=x+11	$- 11 x^{2} = x + 11$
182866	Solve for x	4^(5x)=(1/32)^(1-x)	$4^{5 x} = {(\frac{1}{32})}^{1 - x}$
182867	Simplify	fourth root of (x^7y^12)/(125x)	$\sqrt[4]{\frac{x^{7} y^{12}}{125 x}}$
182868	Find the Excluded Values	(k^2-k-2)/(k^2-4k-5)	$\frac{k^{2} - k - 2}{k^{2} - 4 k - 5}$
182869	Find f(g(x))	f(x)=-3x+1 g(x)=3x^2+4x-15	$f (x) = - 3 x + 1$ $g (x) = 3 x^{2} + 4 x - 15$
182870	Simplify	x square root of 6x^2+3 square root of 150x^4	$x \sqrt{6 x^{2}} + 3 \sqrt{150 x^{4}}$
182871	Evaluate	(5x^4+13x^2-x+10)-(-6x^4+9x^3+7)	$(5 x^{4} + 13 x^{2} - x + 10) - (- 6 x^{4} + 9 x^{3} + 7)$
182872	Simplify	((49x^2-4)/(3x^2-2x-21))÷((7x-2)/(3x-9))	$\frac{49 x^{2} - 4}{3 x^{2} - 2 x - 21} \div \frac{7 x - 2}{3 x - 9}$
182873	Evaluate the Function	f(3) = square root of 3-3	$f (3) = \sqrt{3 - 3}$
182874	Solve for v	d=vt	$d = v t$
182875	Solve for b	(b+13)^2=0	${(b + 13)}^{2} = 0$
182876	Solve for r	(r,3) , (5,9) , m=2	$(r, 3)$ , $(5, 9)$ , $m = 2$
182877	Solve for θ	sin(theta)=1/3	$\sin (θ) = \frac{1}{3}$
182878	Solve for v	25v^2-20v+4=0	$25 v^{2} - 20 v + 4 = 0$
182879	Graph	y>=-x+1 y>=1/3x-7	$y \geq - x + 1$ $y \geq \frac{1}{3} x - 7$
182880	Solve the Inequality for x	(x-5)(x-2)^2(x-7)<0	$(x - 5) {(x - 2)}^{2} (x - 7) < 0$
182881	Evaluate	(64y^100)^(1/2)	${(64 y^{100})}^{\frac{1}{2}}$
182882	Simplify	(x+6)/(x^3-11x^2+28x)*(x^2-49)/(x^2+13x+42)	$\frac{x + 6}{x^{3} - 11 x^{2} + 28 x} \cdot \frac{x^{2} - 49}{x^{2} + 13 x + 42}$
182883	Graph	(5-(9-4x))/-2<-5	$\frac{5 - (9 - 4 x)}{- 2} < - 5$
182884	Solve for v	v/5=(v+6)/8	$\frac{v}{5} = \frac{v + 6}{8}$
182885	Factor	ax+bx+x	$a x + b x + x$
182886	Simplify	(csc(t)^2)/(csc(t)^2-1)	$\frac{\csc^{2} (t)}{\csc^{2} (t) - 1}$
182887	Simplify	4x-6-4x	$4 x - 6 - 4 x$
182888	Evaluate	sin(x)=( square root of 2)/2	$\sin (x) = \frac{\sqrt{2}}{2}$
182889	Solve for y	y^2+1=0	$y^{2} + 1 = 0$
182890	Evaluate	2(x-3)^2	$2 {(x - 3)}^{2}$
182891	Solve for x	1346=2870(0.99)^(0.23x+1)-1354	$1346 = 2870 {(0.99)}^{0.23 x + 1} - 1354$
182892	Graph	y>=x+2 y>=5-x	$y \geq x + 2$ $y \geq 5 - x$
182893	Write in Standard Form	2x=4(-y+5)	$2 x = 4 (- y + 5)$
182894	Simplify	(a^2b-ab^2)/(a^2-ab)	$\frac{a^{2} b - a b^{2}}{a^{2} - a b}$
182895	Evaluate	7n-(4n-3)	$7 n - (4 n - 3)$
182896	Solve for n	7-5/2(8n-18)=14-10(2n-3)	$7 - \frac{5}{2} (8 n - 18) = 14 - 10 (2 n - 3)$
182897	Multiply	xy*xy	$x y \cdot x y$
182898	Evaluate	(fg)(0)	$(f g) (0)$
182899	Solve for x	-9/(x^2+9x)-1/(x+9)=-4	$- \frac{9}{x^{2} + 9 x} - \frac{1}{x + 9} = - 4$
182900	Solve for x	(2x+1)^(1/2)+4=13	${(2 x + 1)}^{\frac{1}{2}} + 4 = 13$