Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
61801	Find the Roots (Zeros)	f(x)=x^4-2x^3+x^2+12x+8	$f (x) = x^{4} - 2 x^{3} + x^{2} + 12 x + 8$
61802	Complete the Square	z^2-14z	$z^{2} - 14 z$
61803	Find the Roots (Zeros)	f(x)=x^3+7x-9	$f (x) = x^{3} + 7 x - 9$
61804	Complete the Square	z^2-20z	$z^{2} - 20 z$
61805	Find the Roots (Zeros)	f(x)=x^3+3x^2-10x-24	$f (x) = x^{3} + 3 x^{2} - 10 x - 24$
61806	Complete the Square	z^2-16z	$z^{2} - 16 z$
61807	Find the Roots (Zeros)	4x^4+31x^3-4x^2-89x+22=0	$4 x^{4} + 31 x^{3} - 4 x^{2} - 89 x + 22 = 0$
61808	Complete the Square	z^2+8z	$z^{2} + 8 z$
61809	Find the Roots (Zeros)	x^2+2x-15=0	$x^{2} + 2 x - 15 = 0$
61810	Complete the Square	z^2-30z	$z^{2} - 30 z$
61811	Find the Roots (Zeros)	x^4-11x^2+18=0	$x^{4} - 11 x^{2} + 18 = 0$
61812	Complete the Square	z^2-6z	$z^{2} - 6 z$
61813	Find the Roots (Zeros)	x^4-10x^2+24=0	$x^{4} - 10 x^{2} + 24 = 0$
61814	Complete the Square	y^2+7y+c	$y^{2} + 7 y + c$
61815	Find the Roots (Zeros)	x^4-6x^3-3x^2+24x-4=0	$x^{4} - 6 x^{3} - 3 x^{2} + 24 x - 4 = 0$
61816	Complete the Square	y^2-30y	$y^{2} - 30 y$
61817	Find the Roots (Zeros)	x^4-8x^2+7=0	$x^{4} - 8 x^{2} + 7 = 0$
61818	Complete the Square	y^2-20y	$y^{2} - 20 y$
61819	Divide	((2m+4)/8)÷((m+2)/6)	$\frac{2 m + 4}{8} \div \frac{m + 2}{6}$
61820	Complete the Square	y^2-40y+c	$y^{2} - 40 y + c$
61821	Find the Roots (Zeros)	x^3+x^2-7x-4=0	$x^{3} + x^{2} - 7 x - 4 = 0$
61822	Complete the Square	a^2-9a	$a^{2} - 9 a$
61823	Find the Roots (Zeros)	x^2-9=0	$x^{2} - 9 = 0$
61824	Solve by Factoring	(x-10)^(2/5)=(9x)^(1/5)	${(x - 10)}^{\frac{2}{5}} = {(9 x)}^{\frac{1}{5}}$
61825	Complete the Square	6x^2-18x+6	$6 x^{2} - 18 x + 6$
61826	Solve by Factoring	(x-2)^(2/3)=49	${(x - 2)}^{\frac{2}{3}} = 49$
61827	Solve by Factoring	(x-2)^(2/3)=100	${(x - 2)}^{\frac{2}{3}} = 100$
61828	Complete the Square	k^2-3k	$k^{2} - 3 k$
61829	Solve by Factoring	(x-3)^(2/3)=25	${(x - 3)}^{\frac{2}{3}} = 25$
61830	Complete the Square	k^2-k+	$k^{2} - k +$
61831	Complete the Square	(x^2-3x)	$(x^{2} - 3 x)$
61832	Solve by Factoring	(x-5)^(2/3)=49	${(x - 5)}^{\frac{2}{3}} = 49$
61833	Complete the Square	16x^2+96x	$16 x^{2} + 96 x$
61834	Solve by Factoring	(x-5)^(2/3)=25	${(x - 5)}^{\frac{2}{3}} = 25$
61835	Complete the Square	1-2x-x^2	$1 - 2 x - x^{2}$
61836	Solve by Factoring	(x-7)^(2/5)=4	${(x - 7)}^{\frac{2}{5}} = 4$
61837	Complete the Square	-3x^2-18x-23	$- 3 x^{2} - 18 x - 23$
61838	Solve by Factoring	(x-6)^(5/2)=32	${(x - 6)}^{\frac{5}{2}} = 32$
61839	Solve by Factoring	(x+18)^(1/2)+2=x	${(x + 18)}^{\frac{1}{2}} + 2 = x$
61840	Complete the Square	3x^2-6x-4	$3 x^{2} - 6 x - 4$
61841	Solve by Factoring	(x-18/x)^2-4(x-18/x)-21=0	${(x - \frac{18}{x})}^{2} - 4 (x - \frac{18}{x}) - 21 = 0$
61842	Solve by Factoring	(x-40/x)^2-3(x-40/x)-18=0	${(x - \frac{40}{x})}^{2} - 3 (x - \frac{40}{x}) - 18 = 0$
61843	Find the Roots (Zeros)	y=x^2+6x+8	$y = x^{2} + 6 x + 8$
61844	Complete the Square	2x^2+12x+16	$2 x^{2} + 12 x + 16$
61845	Find the Roots (Zeros)	f(x)=6x^3-35x^2+26x-5	$f (x) = 6 x^{3} - 35 x^{2} + 26 x - 5$
61846	Complete the Square	2x^2+16x-9	$2 x^{2} + 16 x - 9$
61847	Solve by Factoring	6x^4-96x^2=0	$6 x^{4} - 96 x^{2} = 0$
61848	Complete the Square	2x^2+20x=10	$2 x^{2} + 20 x = 10$
61849	Solve by Factoring	64x^3+8=0	$64 x^{3} + 8 = 0$
61850	Complete the Square	-2x^2-16x-29	$- 2 x^{2} - 16 x - 29$
61851	Solve by Factoring	8x^2+21=-59x	$8 x^{2} + 21 = - 59 x$
61852	Solve by Factoring	8(w-1)-4=4(2w-3)	$8 (w - 1) - 4 = 4 (2 w - 3)$
61853	Solve by Factoring	8(c-9)=6(2c-12)-4c	$8 (c - 9) = 6 (2 c - 12) - 4 c$
61854	Solve by Factoring	7x^2+2x=9x	$7 x^{2} + 2 x = 9 x$
61855	Solve by Factoring	-6y-3=3-6y	$- 6 y - 3 = 3 - 6 y$
61856	Find the Roots/Zeros Using the Rational Roots Test	x^3-11x^2-29x+39=0	$x^{3} - 11 x^{2} - 29 x + 39 = 0$
61857	Solve by Factoring	7(x-2)=7x+14	$7 (x - 2) = 7 x + 14$
61858	Find the Roots/Zeros Using the Rational Roots Test	4x^4-26x^3+50x^2-52x+84=0	$4 x^{4} - 26 x^{3} + 50 x^{2} - 52 x + 84 = 0$
61859	Solve by Factoring	5+202^(2-3x)=102^(-2x)+5	$5 + 20 \cdot 2^{2 - 3 x} = 10 \cdot 2^{- 2 x} + 5$
61860	Find the Roots/Zeros Using the Rational Roots Test	y=x^3-2x^2+4x-8	$y = x^{3} - 2 x^{2} + 4 x - 8$
61861	Graph	\|x\|<1	$\| x \| < 1$
61862	Solve by Factoring	5x^2=15x	$5 x^{2} = 15 x$
61863	Solve by Factoring	5x^2=20x	$5 x^{2} = 20 x$
61864	Find the Behavior (Leading Coefficient Test)	y=x-10x^5	$y = x - 10 x^{5}$
61865	Solve by Factoring	5x^2-3x-2=0	$5 x^{2} - 3 x - 2 = 0$
61866	Find the Behavior (Leading Coefficient Test)	y=5x^6-3x^4+2x-9	$y = 5 x^{6} - 3 x^{4} + 2 x - 9$
61867	Solve by Factoring	5-4/(x+1)=6	$5 - \frac{4}{x + 1} = 6$
61868	Solve by Factoring	4x-32=10+4x	$4 x - 32 = 10 + 4 x$
61869	Evaluate Using Synthetic Division	f(x)=4x^3+x^2+x-3 , k=-1	$f (x) = 4 x^{3} + x^{2} + x - 3$ , $k = - 1$
61870	Solve by Factoring	5(2+x)-x=10+4(x+1)	$5 (2 + x) - x = 10 + 4 (x + 1)$
61871	Evaluate Using Synthetic Division	f(x)=-5x^4+x^3+2x^2+3x-1 ; k=1	$f (x) = - 5 x^{4} + x^{3} + 2 x^{2} + 3 x - 1$ ; $k = 1$
61872	Solve by Factoring	5(x+10)-25=5x+25	$5 (x + 10) - 25 = 5 x + 25$
61873	Solve by Factoring	4y^3-2=y-8y^2	$4 y^{3} - 2 = y - 8 y^{2}$
61874	Evaluate Using Synthetic Division	f(x)=2x^2+98 , k=7i	$f (x) = 2 x^{2} + 98$ , $k = 7 i$
61875	Solve by Factoring	3x^2+6x=0	$3 x^{2} + 6 x = 0$
61876	Evaluate Using Synthetic Division	f(x)=2x^3+x^2+x-9 , k=-1	$f (x) = 2 x^{3} + x^{2} + x - 9$ , $k = - 1$
61877	Solve by Factoring	3 square root of 4-3x=21	$3 \sqrt{4 - 3 x} = 21$
61878	Find the Exponential Function	(2,18)	$(2, 18)$
61879	Find the Relation Inverse	f=((5,2),(3,4),(5,6))	$f = ((5, 2), (3, 4), (5, 6))$
61880	Solve by Factoring	3x^3+4x^2=27x+36	$3 x^{3} + 4 x^{2} = 27 x + 36$
61881	Find P(A∩B) for Independent Events A and B	P(A)=0.25 P(B)=0.8	$P (A) = 0.25$ $P (B) = 0.8$
61882	Solve by Factoring	3(y+2)-y=2(y-1)+5	$3 (y + 2) - y = 2 (y - 1) + 5$
61883	Find P(d∩c) for Independent Events d and c	p(c)=2/5 , p(d)=3/5	$p (c) = \frac{2}{5}$ , $p (d) = \frac{3}{5}$
61884	Solve by Factoring	3*5^(2t-1)=75	$3 \cdot 5^{2 t - 1} = 75$
61885	Find P(C∩D) for Independent Events C and D	P(C)=2/5 , P(D)=3/5	$P (C) = \frac{2}{5}$ , $P (D) = \frac{3}{5}$
61886	Solve by Factoring	3-1/t-2/(t^2)=0	$3 - \frac{1}{t} - \frac{2}{t^{2}} = 0$
61887	Write as a Set of Linear Factors	f(x)=x^4-3x^3-33x^2-63x-34	$f (x) = x^{4} - 3 x^{3} - 33 x^{2} - 63 x - 34$
61888	Solve by Factoring	4x^4+15x^2-4=0	$4 x^{4} + 15 x^{2} - 4 = 0$
61889	Write as a Set of Linear Factors	f(x)=x^4-6x^3-44x^2-58x-21	$f (x) = x^{4} - 6 x^{3} - 44 x^{2} - 58 x - 21$
61890	Solve by Factoring	4x^4+27x^2-81=0	$4 x^{4} + 27 x^{2} - 81 = 0$
61891	Solve by Factoring	4x^4-13x^2+9=0	$4 x^{4} - 13 x^{2} + 9 = 0$
61892	Write as a Set of Linear Factors	f(x)=x^4+14x^3+46x^2-42x-147	$f (x) = x^{4} + 14 x^{3} + 46 x^{2} - 42 x - 147$
61893	Solve by Factoring	4x^3-26x^2=-42x	$4 x^{3} - 26 x^{2} = - 42 x$
61894	Write as a Set of Linear Factors	f(x)=x^3-512	$f (x) = x^{3} - 512$
61895	Solve by Factoring	4x^3=9x^2	$4 x^{3} = 9 x^{2}$
61896	Write as a Set of Linear Factors	f(x)=x^3-4x^2-5x+14	$f (x) = x^{3} - 4 x^{2} - 5 x + 14$
61897	Write as a Set of Linear Factors	f(x)=x^3-75x-250	$f (x) = x^{3} - 75 x - 250$
61898	Solve by Factoring	4x^2=49	$4 x^{2} = 49$
61899	Solve by Factoring	4(x+1)-7=3(x-1)+x	$4 (x + 1) - 7 = 3 (x - 1) + x$
61900	Write as a Set of Linear Factors	f(x)=x^3+9x^2+25x+21	$f (x) = x^{3} + 9 x^{2} + 25 x + 21$