Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
18501	Solve by Factoring	x^4-1=0	$x^{4} - 1 = 0$
18502	Solve by Factoring	x^3-9x^2+20x=0	$x^{3} - 9 x^{2} + 20 x = 0$
18503	Find the Possible Factors	137	$137$
18504	Solve by Factoring	1+1/x=72/(x^2)	$1 + \frac{1}{x} = \frac{72}{x^{2}}$
18505	Find the Possible Factors	208	$208$
18506	Solve by Factoring	1-2/t-80/(t^2)=0	$1 - \frac{2}{t} - \frac{80}{t^{2}} = 0$
18507	Find the Possible Factors	-21	$- 21$
18508	Solve by Factoring	1/x+1/(x+4)=1/5	$\frac{1}{x} + \frac{1}{x + 4} = \frac{1}{5}$
18509	Find the Possible Factors	-35	$- 35$
18510	Find the Possible Factors	361	$361$
18511	Solve by Factoring	square root of 24-2x=x	$\sqrt{24 - 2 x} = x$
18512	Solve by Factoring	square root of 21-x=x-1	$\sqrt{21 - x} = x - 1$
18513	Find the Maximum/Minimum Value	R=-15p^2+300p+12000	$R = - 15 p^{2} + 300 p + 12000$
18514	Find the Maximum/Minimum Value	c=400-5x+0.125x^2	$c = 400 - 5 x + 0.125 x^{2}$
18515	Solve by Factoring	9^x*3^(x^2)=81^2	$9^{x} \cdot 3^{x^{2}} = 81^{2}$
18516	Find the Maximum/Minimum Value	a=27x-x^2	$a = 27 x - x^{2}$
18517	Find the Maximum/Minimum Value	y=x^3+3x^2-6x-8	$y = x^{3} + 3 x^{2} - 6 x - 8$
18518	Find the Roots (Zeros)	f(x)=x^3-2x^2-x+2	$f (x) = x^{3} - 2 x^{2} - x + 2$
18519	Find the Maximum/Minimum Value	y=-x^2+x+6	$y = - x^{2} + x + 6$
18520	Find the Roots (Zeros)	f(x)=5x^3-7x^2-45x+63	$f (x) = 5 x^{3} - 7 x^{2} - 45 x + 63$
18521	Find the Maximum/Minimum Value	y=1/3x^3-5/2x^2+6x-2	$y = \frac{1}{3} x^{3} - \frac{5}{2} x^{2} + 6 x - 2$
18522	Solve by Factoring	(5-x)^(1/2)=x+1	${(5 - x)}^{\frac{1}{2}} = x + 1$
18523	Solve by Completing the Square	x^2+4x=6	$x^{2} + 4 x = 6$
18524	Find the Maximum/Minimum Value	y=-2x^2+8x-7	$y = - 2 x^{2} + 8 x - 7$
18525	Find the Maximum/Minimum Value	y=-16x^2+96x	$y = - 16 x^{2} + 96 x$
18526	Find the Average	[-4,6]	$[- 4, 6]$
18527	Solve by Completing the Square	x^2+4x-10=0	$x^{2} + 4 x - 10 = 0$
18528	Solve by Completing the Square	x^2+6x-8=0	$x^{2} + 6 x - 8 = 0$
18529	Solve by Completing the Square	x^2+2x=1	$x^{2} + 2 x = 1$
18530	Find the Local Maxima and Minima	y=1/3x^3-5/2x^2+6x-6	$y = \frac{1}{3} x^{3} - \frac{5}{2} x^{2} + 6 x - 6$
18531	Solve by Completing the Square	x^2-3x-5=0	$x^{2} - 3 x - 5 = 0$
18532	Solve by Completing the Square	x^2-2x-9=0	$x^{2} - 2 x - 9 = 0$
18533	Find Where Undefined/Discontinuous	18/(3x-3)+1/3=6/(x-1)	$\frac{18}{3 x - 3} + \frac{1}{3} = \frac{6}{x - 1}$
18534	Write in Standard Form	(3+i)/(3-i)	$\frac{3 + i}{3 - i}$
18535	Write in Standard Form	(6+2i)/(9-3i)	$\frac{6 + 2 i}{9 - 3 i}$
18536	Find f(g(x))	f(x)=-x^2-1 , g(x)=x+5	$f (x) = - x^{2} - 1$ , $g (x) = x + 5$
18537	Write in Standard Form	(8+i)/(8-i)	$\frac{8 + i}{8 - i}$
18538	Find f(g(x))	f(x)=5x-2 , g(x)=6x+3	$f (x) = 5 x - 2$ , $g (x) = 6 x + 3$
18539	Solve by Completing the Square	x^2-8x-3=0	$x^{2} - 8 x - 3 = 0$
18540	Find f(g(x))	f(x)=2x g(x)=x+5	$f (x) = 2 x$ $g (x) = x + 5$
18541	Solve by Completing the Square	x^2-8x=-7	$x^{2} - 8 x = - 7$
18542	Find f(g(x))	f(x) = square root of x+2 , g(x)=8x-6	$f (x) = \sqrt{x + 2}$ , $g (x) = 8 x - 6$
18543	Solve by Completing the Square	x^2-8x=9	$x^{2} - 8 x = 9$
18544	Find f(g(x))	f(x)=3x+1 g(x) = square root of x	$f (x) = 3 x + 1$ $g (x) = \sqrt{x}$
18545	Solve by Completing the Square	2x^2-3x-1=0	$2 x^{2} - 3 x - 1 = 0$
18546	Find f(g(x))	f(x)=x+2 , g(x)=3x^2-5x-2	$f (x) = x + 2$ , $g (x) = 3 x^{2} - 5 x - 2$
18547	Solve by Completing the Square	2x^2-x-6=0	$2 x^{2} - x - 6 = 0$
18548	Solve by Factoring	2x = square root of 11x+3	$2 x = \sqrt{11 x + 3}$
18549	Solve by Factoring	3x^2+5x-2=0	$3 x^{2} + 5 x - 2 = 0$
18550	Write in Slope-Intercept Form	2x-3y=9	$2 x - 3 y = 9$
18551	Find f(g(x))	f(x)=4x^2+3x+5 , g(x)=3x-7	$f (x) = 4 x^{2} + 3 x + 5$ , $g (x) = 3 x - 7$
18552	Find the Slope and y-intercept	2x+y=3	$2 x + y = 3$
18553	Find f(g(x))	f(x)=x+5 , g(x)=x^3+125	$f (x) = x + 5$ , $g (x) = x^{3} + 125$
18554	Find the Slope and y-intercept	3x+5y=15	$3 x + 5 y = 15$
18555	Find f(g(x))	f(x)=x^2-9 , g(x)=3-x	$f (x) = x^{2} - 9$ , $g (x) = 3 - x$
18556	Solve by Factoring	x = square root of 3x+10	$x = \sqrt{3 x + 10}$
18557	Solve by Factoring	x = square root of 4x+12	$x = \sqrt{4 x + 12}$
18558	Solve by Factoring	x^3-81x=0	$x^{3} - 81 x = 0$
18559	Solve by Factoring	8x^3=1	$8 x^{3} = 1$
18560	Find the x and y Intercepts	f(x)=x^4-36x^2	$f (x) = x^{4} - 36 x^{2}$
18561	Find the x and y Intercepts	3x+4y=-24	$3 x + 4 y = - 24$
18562	Find f(g(x))	f(x)=9x+5 , g(x) = square root of x	$f (x) = 9 x + 5$ , $g (x) = \sqrt{x}$
18563	Find the x and y Intercepts	4x-y=4	$4 x - y = 4$
18564	Find the x and y Intercepts	6x-4y=12	$6 x - 4 y = 12$
18565	Find f(g(x))	f(x)=7x+8 , g(x)=4x+3	$f (x) = 7 x + 8$ , $g (x) = 4 x + 3$
18566	Find the x and y Intercepts	x^2+y-4=0	$x^{2} + y - 4 = 0$
18567	Find the x and y Intercepts	x^2+y^3-x^2y^2=64	$x^{2} + y^{3} - x^{2} y^{2} = 64$
18568	Find f(g(x))	f(x)=20 , g(x)=0.05	$f (x) = 20$ , $g (x) = 0.05$
18569	Write in Slope-Intercept Form	x+y=-3	$x + y = - 3$
18570	Write as a Function of r	Guv=Ruv-1/2*(RGuv)
18571	Write as a Function of l	p=2l+2w	$p = 2 l + 2 w$
18572	Find the Discriminant	x^2+4x+4=0	$x^{2} + 4 x + 4 = 0$
18573	Find the Discriminant	x^2-2x+4=0	$x^{2} - 2 x + 4 = 0$
18574	Find the Discriminant	3x^2-8x+4=0	$3 x^{2} - 8 x + 4 = 0$
18575	Find f(g(x))	f(x)=6/(1-5x) , g(x)=1/x	$f (x) = \frac{6}{1 - 5 x}$ , $g (x) = \frac{1}{x}$
18576	Find the Discriminant	-3x^2+9x-2=0	$- 3 x^{2} + 9 x - 2 = 0$
18577	Find f(g(x))	f(x)=5x+15 , g(x)=5x-1	$f (x) = 5 x + 15$ , $g (x) = 5 x - 1$
18578	Find the Discriminant	3x^2+4x-10=0	$3 x^{2} + 4 x - 10 = 0$
18579	Find the Discriminant	-4x^2+4x-1=0	$- 4 x^{2} + 4 x - 1 = 0$
18580	Find the Discriminant	-25x^2+20x-4=0	$- 25 x^{2} + 20 x - 4 = 0$
18581	Solve Using the Quadratic Formula	x(5x+2)=3	$x (5 x + 2) = 3$
18582	Solve Using the Quadratic Formula	x(x-5)=-4	$x (x - 5) = - 4$
18583	Solve Using the Quadratic Formula	x(x-8)=0	$x (x - 8) = 0$
18584	Find g(f(x))	f(x)=5x+15 , g(x)=5x-1	$f (x) = 5 x + 15$ , $g (x) = 5 x - 1$
18585	Find g(f(x))	f(x)=1/(x-10) , g(x)=1/x	$f (x) = \frac{1}{x - 10}$ , $g (x) = \frac{1}{x}$
18586	Calculate the Square Root	square root of 170	$\sqrt{170}$
18587	Calculate the Square Root	square root of 350	$\sqrt{350}$
18588	Find g(f(x))	f(x)=2/(1-5x) , g(x)=1/x	$f (x) = \frac{2}{1 - 5 x}$ , $g (x) = \frac{1}{x}$
18589	Solve Using the Quadratic Formula	4x^2-13x+3=0	$4 x^{2} - 13 x + 3 = 0$
18590	Solve Using the Quadratic Formula	4x^2-11x-3=0	$4 x^{2} - 11 x - 3 = 0$
18591	Solve Using the Quadratic Formula	4x^2-4x-15=0	$4 x^{2} - 4 x - 15 = 0$
18592	Find g(f(x))	f(x)=4x-5 , g(x)=(x+5)/4	$f (x) = 4 x - 5$ , $g (x) = \frac{x + 5}{4}$
18593	Solve Using the Quadratic Formula	4x^2-28=0	$4 x^{2} - 28 = 0$
18594	Solve Using the Quadratic Formula	4a^2-8=a	$4 a^{2} - 8 = a$
18595	Find g(f(x))	f(x)=x/(x+1) , g(x)=4/x	$f (x) = \frac{x}{x + 1}$ , $g (x) = \frac{4}{x}$
18596	Solve Using the Quadratic Formula	5x^2+6x-63=0	$5 x^{2} + 6 x - 63 = 0$
18597	Solve Using the Quadratic Formula	5x^2-10=0	$5 x^{2} - 10 = 0$
18598	Solve Using the Quadratic Formula	5x^2-2x-7=0	$5 x^{2} - 2 x - 7 = 0$
18599	Find g(f(x))	f(x)=20 , g(x)=0.05	$f (x) = 20$ , $g (x) = 0.05$
18600	Solve Using the Quadratic Formula	5x^2-2x+4=0	$5 x^{2} - 2 x + 4 = 0$