Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
56401	Solve by Factoring	18/x=x-3	$\frac{18}{x} = x - 3$
56402	Find g(f(x))	f(x)=3x-3 , g(x)=(x+3)/3	$f (x) = 3 x - 3$ , $g (x) = \frac{x + 3}{3}$
56403	Solve by Factoring	14/x=x-5	$\frac{14}{x} = x - 5$
56404	Find g(f(x))	f(x)=4x-4 , g(x)=1/4x+4	$f (x) = 4 x - 4$ , $g (x) = \frac{1}{4} x + 4$
56405	Solve by Factoring	12/x=x-4	$\frac{12}{x} = x - 4$
56406	Find g(f(x))	f(x)=8/(x-4) , g(x)=8/x+4	$f (x) = \frac{8}{x - 4}$ , $g (x) = \frac{8}{x} + 4$
56407	Solve by Factoring	(11(x-3))/(x-4)+13/x=-13/(x(x-4))	$\frac{11 (x - 3)}{x - 4} + \frac{13}{x} = \frac{- 13}{x (x - 4)}$
56408	Find g(f(x))	f(x)=5x-4 , g(x)=(x+5)/4	$f (x) = 5 x - 4$ , $g (x) = \frac{x + 5}{4}$
56409	Solve by Factoring	2/(3x)+1/4=88/(6x)-1/3	$\frac{2}{3 x} + \frac{1}{4} = \frac{88}{6 x} - \frac{1}{3}$
56410	Solve by Factoring	2/(11x)+1/4=81/(22x)-1/3	$\frac{2}{11 x} + \frac{1}{4} = \frac{81}{22 x} - \frac{1}{3}$
56411	Find g(f(x))	f(x)=4x-8 , g(x)=(x+4)/8	$f (x) = 4 x - 8$ , $g (x) = \frac{x + 4}{8}$
56412	Solve by Factoring	(2x)/(x+4)-8/(x-4)=(2x^2+32)/(x^2-16)	$\frac{2 x}{x + 4} - \frac{8}{x - 4} = \frac{2 x^{2} + 32}{x^{2} - 16}$
56413	Solve by Factoring	(4(8x-2))/(3x)=10	$\frac{4 (8 x - 2)}{3 x} = 10$
56414	Find g(f(x))	f(x)=5x-8 , g(x)=(x+5)/8	$f (x) = 5 x - 8$ , $g (x) = \frac{x + 5}{8}$
56415	Solve by Factoring	(3x)/(x+2)+6/x=12/(x^2+2x)	$\frac{3 x}{x + 2} + \frac{6}{x} = \frac{12}{x^{2} + 2 x}$
56416	Find g(f(x))	f(x)=4x^2+6x+4 , g(x)=6x-3	$f (x) = 4 x^{2} + 6 x + 4$ , $g (x) = 6 x - 3$
56417	Solve by Factoring	36/(3x-15)+1/(x-5)=13/3	$\frac{36}{3 x - 15} + \frac{1}{x - 5} = \frac{13}{3}$
56418	Solve by Factoring	(2x-6)/(x-6)=x/(x+2)	$\frac{2 x - 6}{x - 6} = \frac{x}{x + 2}$
56419	Solve by Factoring	x^3-6x^2+3x+10=0	$x^{3} - 6 x^{2} + 3 x + 10 = 0$
56420	Find g(f(x))	f(x)=(x-5)/3 , g(x)=x^2+5	$f (x) = \frac{x - 5}{3}$ , $g (x) = x^{2} + 5$
56421	Solve by Factoring	x^3-5x^2-2x+10=0	$x^{3} - 5 x^{2} - 2 x + 10 = 0$
56422	Solve by Factoring	x^4+2x^2-15=0	$x^{4} + 2 x^{2} - 15 = 0$
56423	Solve by Factoring	x^4+21x^2-100=0	$x^{4} + 21 x^{2} - 100 = 0$
56424	Solve by Factoring	x^3-x=6x^2-6	$x^{3} - x = 6 x^{2} - 6$
56425	Find g(f(x))	f(x)=5x , g(x)=2x^2-x+1	$f (x) = 5 x$ , $g (x) = 2 x^{2} - x + 1$
56426	Solve by Factoring	x^3-x=12x^2-12	$x^{3} - x = 12 x^{2} - 12$
56427	Solve by Factoring	x^3-8x^2+9x+18=0	$x^{3} - 8 x^{2} + 9 x + 18 = 0$
56428	Solve by Factoring	x^6+9x^3+8=0	$x^{6} + 9 x^{3} + 8 = 0$
56429	Solve by Factoring	x^4-9x^2+18=0	$x^{4} - 9 x^{2} + 18 = 0$
56430	Find g(f(x))	f(x)=x^2-16 , g(x)=2x-6	$f (x) = x^{2} - 16$ , $g (x) = 2 x - 6$
56431	Solve by Factoring	x^4-36x^2+35=0	$x^{4} - 36 x^{2} + 35 = 0$
56432	Graph	y=x^2+10x+21	$y = x^{2} + 10 x + 21$
56433	Solve by Factoring	x^4-20x^2+99=0	$x^{4} - 20 x^{2} + 99 = 0$
56434	Find g(f(x))	f(x)=4x-7 , g(x)=(x+7)/4	$f (x) = 4 x - 7$ , $g (x) = \frac{x + 7}{4}$
56435	Solve by Factoring	x^4-11x^2+10=0	$x^{4} - 11 x^{2} + 10 = 0$
56436	Solve by Factoring	x^6-28x^3+27=0	$x^{6} - 28 x^{3} + 27 = 0$
56437	Find g(f(x))	f(x)=9x g(x)=1/9x	$f (x) = 9 x$ $g (x) = \frac{1}{9} x$
56438	Solve by Factoring	y^3=121y	$y^{3} = 121 y$
56439	Find g(f(x))	f(x)=5x+2 , g(x)=9x+1	$f (x) = 5 x + 2$ , $g (x) = 9 x + 1$
56440	Solve by Factoring	2=-6/(x-10)+8/((x-10)^2)	$2 = \frac{- 6}{x - 10} + \frac{8}{{(x - 10)}^{2}}$
56441	Solve by Factoring	2=-2/(x-6)+4/((x-6)^2)	$2 = \frac{- 2}{x - 6} + \frac{4}{{(x - 6)}^{2}}$
56442	Find g(f(x))	f(x)=2x-5 , g(x)=2x+8	$f (x) = 2 x - 5$ , $g (x) = 2 x + 8$
56443	Solve by Factoring	2+2 square root of x=14	$2 + 2 \sqrt{x} = 14$
56444	Solve by Factoring	2z^2+20z=0	$2 z^{2} + 20 z = 0$
56445	Solve by Factoring	2y^2-50=0	$2 y^{2} - 50 = 0$
56446	Solve by Factoring	2x^2+3x-14=0	$2 x^{2} + 3 x - 14 = 0$
56447	Solve by Factoring	2x^2-6x=0	$2 x^{2} - 6 x = 0$
56448	Find g(f(x))	f(x)=2x-7 , g(x)=1/2(x+7)	$f (x) = 2 x - 7$ , $g (x) = \frac{1}{2} (x + 7)$
56449	Solve by Factoring	2x^2-9x=x^2-20	$2 x^{2} - 9 x = x^{2} - 20$
56450	Find g(f(x))	f(x)=7x-1 , g(x)=x-1	$f (x) = 7 x - 1$ , $g (x) = x - 1$
56451	Solve by Factoring	2(x+4)-5=2x+3	$2 (x + 4) - 5 = 2 x + 3$
56452	Solve by Factoring	16x^2=25	$16 x^{2} = 25$
56453	Find g(f(x))	f(x)=8x-4 , g(x)=(x+4)/8	$f (x) = 8 x - 4$ , $g (x) = \frac{x + 4}{8}$
56454	Solve by Factoring	16x^2+24x+9=0	$16 x^{2} + 24 x + 9 = 0$
56455	Solve by Factoring	x^3+x^2-20x=0	$x^{3} + x^{2} - 20 x = 0$
56456	Find g(f(x))	f(x)=7x-2 , g(x)=(x+2)/7	$f (x) = 7 x - 2$ , $g (x) = \frac{x + 2}{7}$
56457	Solve by Factoring	x^3+x^2=49x+49	$x^{3} + x^{2} = 49 x + 49$
56458	Find g(f(x))	f(x)=2x^2+5 , g(x)=3x-4	$f (x) = 2 x^{2} + 5$ , $g (x) = 3 x - 4$
56459	Solve by Factoring	x^3+1000=0	$x^{3} + 1000 = 0$
56460	Solve by Factoring	x^3+729=0	$x^{3} + 729 = 0$
56461	Solve by Factoring	x^3+5x^2-16x-80=0	$x^{3} + 5 x^{2} - 16 x - 80 = 0$
56462	Solve by Factoring	x^3=25x	$x^{3} = 25 x$
56463	Solve by Factoring	x^-3=64	$x^{- 3} = 64$
56464	Solve by Factoring	x^2-2x-5=0	$x^{2} - 2 x - 5 = 0$
56465	Find g(f(x))	f(x)=x^2+6 , g(x) = square root of 1-x	$f (x) = x^{2} + 6$ , $g (x) = \sqrt{1 - x}$
56466	Solve by Factoring	x^2-6x=16	$x^{2} - 6 x = 16$
56467	Find g(f(x))	f(x)=x^2-1 g(x)=2x-3	$f (x) = x^{2} - 1$ $g (x) = 2 x - 3$
56468	Solve by Factoring	x^2+36=0	$x^{2} + 36 = 0$
56469	Solve by Factoring	x^-2+3x^-1-10=0	$x^{- 2} + 3 x^{- 1} - 10 = 0$
56470	Solve by Factoring	x^2+3x=40	$x^{2} + 3 x = 40$
56471	Solve by Factoring	x^2+24x+ square root of x^2+24x=30	$x^{2} + 24 x + \sqrt{x^{2} + 24 x} = 30$
56472	Find g(f(x))	f(x)=9x-4 , g(x)=7x-9	$f (x) = 9 x - 4$ , $g (x) = 7 x - 9$
56473	Find g(f(x))	f(x)=5x-6 , g(x)=x-3	$f (x) = 5 x - 6$ , $g (x) = x - 3$
56474	Solve by Factoring	x^2+x-72=0	$x^{2} + x - 72 = 0$
56475	Solve by Factoring	x^2=9x	$x^{2} = 9 x$
56476	Solve by Factoring	x^2-12x+20=0	$x^{2} - 12 x + 20 = 0$
56477	Find g(f(x))	f(x)=x+21 , g(x)=x-21	$f (x) = x + 21$ , $g (x) = x - 21$
56478	Solve by Factoring	x^2-18x-4=0	$x^{2} - 18 x - 4 = 0$
56479	Solve by Factoring	cube root of x-6 = cube root of 3x+24	$\sqrt[3]{x - 6} = \sqrt[3]{3 x + 24}$
56480	Solve by Factoring	cube root of x-1=3	$\sqrt[3]{x - 1} = 3$
56481	Solve by Factoring	cube root of 7x-1-3=0	$\sqrt[3]{7 x - 1} - 3 = 0$
56482	Solve by Factoring	cube root of 8x-8-4=0	$\sqrt[3]{8 x - 8} - 4 = 0$
56483	Find g(f(x))	f(x)=3x^2-6x-1 , g(x)=x+5	$f (x) = 3 x^{2} - 6 x - 1$ , $g (x) = x + 5$
56484	Find g(f(x))	f(x)=6x-2 g(x)=(x+6)/2	$f (x) = 6 x - 2$ $g (x) = \frac{x + 6}{2}$
56485	Solve by Factoring	x^(2/3)-8x^(1/3)+15=0	$x^{\frac{2}{3}} - 8 x^{\frac{1}{3}} + 15 = 0$
56486	Solve by Factoring	x^(1/2)=4	$x^{\frac{1}{2}} = 4$
56487	Solve by Factoring	x^(4/3)-5x^(2/3)+6=0	$x^{\frac{4}{3}} - 5 x^{\frac{2}{3}} + 6 = 0$
56488	Find g(f(x))	f(x)=4/(1-7x) , g(x)=1/x	$f (x) = \frac{4}{1 - 7 x}$ , $g (x) = \frac{1}{x}$
56489	Solve by Factoring	x/5-84/(5x)=-1	$\frac{x}{5} - \frac{84}{5 x} = - 1$
56490	Solve by Factoring	square root of 7x=14	$\sqrt{7 x} = 14$
56491	Solve by Factoring	square root of 7-6x=x	$\sqrt{7 - 6 x} = x$
56492	Solve by Factoring	square root of 7x+46-4=x	$\sqrt{7 x + 46} - 4 = x$
56493	Solve by Factoring	square root of 5x+4=x-4	$\sqrt{5 x + 4} = x - 4$
56494	Solve by Factoring	square root of 5x+9=7	$\sqrt{5 x + 9} = 7$
56495	Solve by Factoring	square root of 4x+2-5=0	$\sqrt{4 x + 2} - 5 = 0$
56496	Solve by Factoring	square root of 40-3x=x	$\sqrt{40 - 3 x} = x$
56497	Solve by Factoring	square root of 5-x+1=x-2	$\sqrt{5 - x} + 1 = x - 2$
56498	Solve by Factoring	square root of 3x+9=6	$\sqrt{3 x + 9} = 6$
56499	Solve by Factoring	square root of 3x-5=5	$\sqrt{3 x - 5} = 5$
56500	Solve by Factoring	square root of 3x=15	$\sqrt{3 x} = 15$