Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
70501	Determine the Nature of the Roots Using the Discriminant	x^2+2x+5=0	$x^{2} + 2 x + 5 = 0$
70502	Factor	w^2-5w-14	$w^{2} - 5 w - 14$
70503	Factor	w^2+36	$w^{2} + 36$
70504	Find the Quotient of the Two Functions	f(x)=-1 , g(x)=x^2+2x+2	$f (x) = - 1$ , $g (x) = x^{2} + 2 x + 2$
70505	Factor	w^2+5w-36	$w^{2} + 5 w - 36$
70506	Find the Quotient of the Two Functions	f(x)=x^2-4x+3 , g(x)=x-3	$f (x) = x^{2} - 4 x + 3$ , $g (x) = x - 3$
70507	Find the Quotient of the Two Functions	f(x)=x^2 , g(x)=x^3-x^2	$f (x) = x^{2}$ , $g (x) = x^{3} - x^{2}$
70508	Factor	x^2y^2-8xy+15	$x^{2} y^{2} - 8 x y + 15$
70509	Factor	x^2-4/9	$x^{2} - \frac{4}{9}$
70510	Find the Quotient of the Two Functions	f(x)=5x^2-9x , g(x)=x^2-4x-45	$f (x) = 5 x^{2} - 9 x$ , $g (x) = x^{2} - 4 x - 45$
70511	Find the Quotient of the Two Functions	P(x)=x^3-125 d(x)=x+5	$P (x) = x^{3} - 125$ $d (x) = x + 5$
70512	Factor	a^5+b^5	$a^{5} + b^{5}$
70513	Find the Quotient of the Two Functions	P(x)=x^4-2x^2-8 , d(x)=x+2	$P (x) = x^{4} - 2 x^{2} - 8$ , $d (x) = x + 2$
70514	Factor	(a+2)/(4b)-(a-1)/(10b)+(a-3)/(5b)	$\frac{a + 2}{4 b} - \frac{a - 1}{10 b} + \frac{a - 3}{5 b}$
70515	Factor	a^3-8b^3	$a^{3} - 8 b^{3}$
70516	Find the Quotient of the Two Functions	P(x)=x^3-512 , d(x)=x+8	$P (x) = x^{3} - 512$ , $d (x) = x + 8$
70517	Factor	b^2+6b-7	$b^{2} + 6 b - 7$
70518	Factor	b^2+4b-12	$b^{2} + 4 b - 12$
70519	Find the Foci	(x^2)/25-(y^2)/39=1	$\frac{x^{2}}{25} - \frac{y^{2}}{39} = 1$
70520	Factor	b^2+16	$b^{2} + 16$
70521	Factor	b^2-4b-21	$b^{2} - 4 b - 21$
70522	Find the Foci	(x^2)/19-(y^2)/81=1	$\frac{x^{2}}{19} - \frac{y^{2}}{81} = 1$
70523	Factor	b^2-3b-28	$b^{2} - 3 b - 28$
70524	Find the Foci	(x^2)/16+(y^2)/12=1	$\frac{x^{2}}{16} + \frac{y^{2}}{12} = 1$
70525	Factor	b^2-9b+20	$b^{2} - 9 b + 20$
70526	Find the Foci	(x^2)/109+(y^2)/9=1	$\frac{x^{2}}{109} + \frac{y^{2}}{9} = 1$
70527	Factor	c^2-10c+21	$c^{2} - 10 c + 21$
70528	Find the Foci	(x^2)/121-(y^2)/81=1	$\frac{x^{2}}{121} - \frac{y^{2}}{81} = 1$
70529	Factor	c^2+7c-18	$c^{2} + 7 c - 18$
70530	Find the Foci	(x^2)/100-(y^2)/36=1	$\frac{x^{2}}{100} - \frac{y^{2}}{36} = 1$
70531	Factor	c^2-13c+40	$c^{2} - 13 c + 40$
70532	Find the Foci	((y-2)^2)/(3^2)-((x-2)^2)/(4^2)=1	$\frac{{(y - 2)}^{2}}{3^{2}} - \frac{{(x - 2)}^{2}}{4^{2}} = 1$
70533	Factor	c^2-11c+24	$c^{2} - 11 c + 24$
70534	Find the Foci	((x-6)^2)/25+((y-5)^2)/9=1	$\frac{{(x - 6)}^{2}}{25} + \frac{{(y - 5)}^{2}}{9} = 1$
70535	Factor	c^2-8c+15	$c^{2} - 8 c + 15$
70536	Find the Foci	((x-43)^2)/225+((y-68)^2)/169=1	$\frac{{(x - 43)}^{2}}{225} + \frac{{(y - 68)}^{2}}{169} = 1$
70537	Factor	c^4+c^3-c^2-c	$c^{4} + c^{3} - c^{2} - c$
70538	Find the Foci	((x-5)^2)/144-((y-4)^2)/81=1	$\frac{{(x - 5)}^{2}}{144} - \frac{{(y - 4)}^{2}}{81} = 1$
70539	Factor	b^4-25	$b^{4} - 25$
70540	Find the Foci	((x-3)^2)/16-((y+4)^2)/9=1	$\frac{{(x - 3)}^{2}}{16} - \frac{{(y + 4)}^{2}}{9} = 1$
70541	Factor	d^2-7d+10	$d^{2} - 7 d + 10$
70542	Factor	g^2-3g-54	$g^{2} - 3 g - 54$
70543	Factor	n^2+2n-3	$n^{2} + 2 n - 3$
70544	Find the Foci	((x+5)^2)/36-((y+1)^2)/64=1	$\frac{{(x + 5)}^{2}}{36} - \frac{{(y + 1)}^{2}}{64} = 1$
70545	Factor	n^2+5n-24	$n^{2} + 5 n - 24$
70546	Factor	n^2+n-30	$n^{2} + n - 30$
70547	Factor	m^8-n^8	$m^{8} - n^{8}$
70548	Find the Foci	((x-1)^2)/9-((y-2)^2)/16=1	$\frac{{(x - 1)}^{2}}{9} - \frac{{(y - 2)}^{2}}{16} = 1$
70549	Find the Foci	25x^2+7y^2=175	$25 x^{2} + 7 y^{2} = 175$
70550	Factor	m^2-225	$m^{2} - 225$
70551	Find the Foci	25x^2+3y^2=75	$25 x^{2} + 3 y^{2} = 75$
70552	Factor	m^2-6mn-27n^2	$m^{2} - 6 m n - 27 n^{2}$
70553	Find the Foci	25x^2+2y^2=50	$25 x^{2} + 2 y^{2} = 50$
70554	Factor	m^3+8	$m^{3} + 8$
70555	Find the Foci	36x^2+5y^2=180	$36 x^{2} + 5 y^{2} = 180$
70556	Find the Foci	36x^2+6y^2=216	$36 x^{2} + 6 y^{2} = 216$
70557	Factor	m^3-m^2+2m-2	$m^{3} - m^{2} + 2 m - 2$
70558	Find the Foci	3x^2+6y^2=18	$3 x^{2} + 6 y^{2} = 18$
70559	Factor	m^2+m-30	$m^{2} + m - 30$
70560	Find the Foci	3x^2+8y^2=24	$3 x^{2} + 8 y^{2} = 24$
70561	Factor	m^2+8m+7	$m^{2} + 8 m + 7$
70562	Find the Foci	4y^2+x^2=16	$4 y^{2} + x^{2} = 16$
70563	Factor	m^2+9m+20	$m^{2} + 9 m + 20$
70564	Find the Foci	4x^2-y^2=64	$4 x^{2} - y^{2} = 64$
70565	Factor	m^2+2m-35	$m^{2} + 2 m - 35$
70566	Find the Foci	576x^2-16y^2=144	$576 x^{2} - 16 y^{2} = 144$
70567	Factor	m^2+5m-14	$m^{2} + 5 m - 14$
70568	Factor	m^2+10m+9	$m^{2} + 10 m + 9$
70569	Find the Foci	9x^2+25y^2+100y-125=0	$9 x^{2} + 25 y^{2} + 100 y - 125 = 0$
70570	Factor	m^2+14m+49	$m^{2} + 14 m + 49$
70571	Find the Foci	9x^2+3y^2=27	$9 x^{2} + 3 y^{2} = 27$
70572	Factor	k^2-6k-16	$k^{2} - 6 k - 16$
70573	Factor	k^2+25	$k^{2} + 25$
70574	Find the Foci	16x^2+25y^2-64x+200y+64=0	$16 x^{2} + 25 y^{2} - 64 x + 200 y + 64 = 0$
70575	Factor	p^3-343q^3	$p^{3} - 343 q^{3}$
70576	Find the Foci	(y^2)/36-(x^2)/45=1	$\frac{y^{2}}{36} - \frac{x^{2}}{45} = 1$
70577	Factor	r^2+2r-8	$r^{2} + 2 r - 8$
70578	Find the Foci	(y^2)/25-(x^2)/49=1	$\frac{y^{2}}{25} - \frac{x^{2}}{49} = 1$
70579	Factor	r^2+13r+42	$r^{2} + 13 r + 42$
70580	Factor	r^2+15r+56	$r^{2} + 15 r + 56$
70581	Find the Foci	(y^2)/16-(x^2)/49=1	$\frac{y^{2}}{16} - \frac{x^{2}}{49} = 1$
70582	Factor	r^2-10r+21	$r^{2} - 10 r + 21$
70583	Factor	r^2-12r+27	$r^{2} - 12 r + 27$
70584	Factor	r^2-15tw+3wr-5tr	$r^{2} - 15 t w + 3 w r - 5 t r$
70585	Find the Foci	(x^2)/81+(y^2)/4=1	$\frac{x^{2}}{81} + \frac{y^{2}}{4} = 1$
70586	Factor	p^2+6p-40	$p^{2} + 6 p - 40$
70587	Find the Foci	(x^2)/81-(y^2)/144=1	$\frac{x^{2}}{81} - \frac{y^{2}}{144} = 1$
70588	Factor	p^2+14p+48	$p^{2} + 14 p + 48$
70589	Factor	p^2+2p-35	$p^{2} + 2 p - 35$
70590	Factor	p^2-20p+100	$p^{2} - 20 p + 100$
70591	Find the Foci	(x^2)/36+(y^2)/11=1	$\frac{x^{2}}{36} + \frac{y^{2}}{11} = 1$
70592	Factor	p^2-2p+1	$p^{2} - 2 p + 1$
70593	Find the Foci	(x^2)/49-(y^2)/36=1	$\frac{x^{2}}{49} - \frac{y^{2}}{36} = 1$
70594	Factor	p^2-40	$p^{2} - 40$
70595	Find the Foci	(x^2)/576+(y^2)/625=1	$\frac{x^{2}}{576} + \frac{y^{2}}{625} = 1$
70596	Factor	p^2-q^2	$p^{2} - q^{2}$
70597	Find the Foci	x^2-y^2-10x-12y-12=0	$x^{2} - y^{2} - 10 x - 12 y - 12 = 0$
70598	Factor	n^2-3n-10	$n^{2} - 3 n - 10$
70599	Find the Foci	x^2-y^2-8x-10y-10=0	$x^{2} - y^{2} - 8 x - 10 y - 10 = 0$
70600	Factor	n^2-15n+26	$n^{2} - 15 n + 26$