Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
144201	Solve by Substitution	11x+8y=-16x=4y+10	$11 x + 8 y = - 16 x = 4 y + 10$
144202	Find the Perfect Square Trinomial	x^2+4x+4	$x^{2} + 4 x + 4$
144203	Find the Maximum/Minimum Value	y=x^2-6x+14	$y = x^{2} - 6 x + 14$
144204	Find the Discriminant	5x^2-6x=0	$5 x^{2} - 6 x = 0$
144205	Find the Discriminant	4x^2+6x+2=0	$4 x^{2} + 6 x + 2 = 0$
144206	Find the Discriminant	4x^2-3x+5=0	$4 x^{2} - 3 x + 5 = 0$
144207	Solve for d	-2-d/5<23	$- 2 - \frac{d}{5} < 23$
144208	Solve for g	mg=5	$mg = 5$
144209	Solve for g	e=5gh	$e = 5 g h$
144210	Solve for s	s^2+12s=-32	$s^{2} + 12 s = - 32$
144211	Solve for s	3s^2-22s=16	$3 s^{2} - 22 s = 16$
144212	Solve for q	18q-2q^2=0	$18 q - 2 q^{2} = 0$
144213	Solve for q	4/(q-4)=2/(7q)	$\frac{4}{q - 4} = \frac{2}{7 q}$
144214	Find the Expanded Form	2(x-1)^2-(3y-4)^2=25	$2 {(x - 1)}^{2} - {(3 y - 4)}^{2} = 25$
144215	Convert to Radical Form	(8x)^(1/3)	${(8 x)}^{\frac{1}{3}}$
144216	Convert to Radical Form	z^(4/7)	$z^{\frac{4}{7}}$
144217	Convert to Radical Form	256^(1/2)	$256^{\frac{1}{2}}$
144218	Convert to Radical Form	u^(4/5)	$u^{\frac{4}{5}}$
144219	Determine if A and B are Mutually Exclusive	A=(6,7,8,9) , B=(1,5,9)	$A = (6, 7, 8, 9)$ , $B = (1, 5, 9)$
144220	Find the Vertex	(x-2)(x-6)	$(x - 2) (x - 6)$
144221	Factor by Grouping	ac+5a-2c-10	$a c + 5 a - 2 c - 10$
144222	Factor by Grouping	5x^2-10x+3x-6	$5 x^{2} - 10 x + 3 x - 6$
144223	Factor by Grouping	6x^2y-3xy-24xy^2+12y^2	$6 x^{2} y - 3 x y - 24 x y^{2} + 12 y^{2}$
144224	Factor by Grouping	3xy-4x-12y+16	$3 x y - 4 x - 12 y + 16$
144225	Factor by Grouping	y^2+3y-5y-15	$y^{2} + 3 y - 5 y - 15$
144226	Divide Using Synthetic Division	(8x^3+x^2-5)÷(x-6)	$(8 x^{3} + x^{2} - 5) \div (x - 6)$
144227	Find the Perfect Square Trinomial	x^2-4x+4	$x^{2} - 4 x + 4$
144228	Find the Discriminant	2x^2+7x-4=0	$2 x^{2} + 7 x - 4 = 0$
144229	Find the Discriminant	2x^2-4x-6=0	$2 x^{2} - 4 x - 6 = 0$
144230	Find the Discriminant	x^2-2x+6=0	$x^{2} - 2 x + 6 = 0$
144231	Find the Maximum/Minimum Value	y=3x^2+30x+71	$y = 3 x^{2} + 30 x + 71$
144232	Find the Maximum/Minimum Value	y=x^2+5x-6	$y = x^{2} + 5 x - 6$
144233	Solve for s	s^2=4s+32	$s^{2} = 4 s + 32$
144234	Solve for s	5s^2-16s=16	$5 s^{2} - 16 s = 16$
144235	Solve for s	5s^2-36s=32	$5 s^{2} - 36 s = 32$
144236	Solve for h	\|(5h+2)/6\|=7	$\| \frac{5 h + 2}{6} \| = 7$
144237	Solve for h	0.9=2((2h)/32)^(1/2)	$0.9 = 2 {(\frac{2 h}{32})}^{\frac{1}{2}}$
144238	Solve for h	12.1 = square root of 9.6^2+h^2	$12.1 = \sqrt{{9.6}^{2} + h^{2}}$
144239	Solve for h	2 = square root of (-h+80)/16	$2 = \sqrt{\frac{- h + 80}{16}}$
144240	Solve for d	d-1/4=8/9	$d - \frac{1}{4} = \frac{8}{9}$
144241	Solve for d	\|d+2\|>=6	$\| d + 2 \| \geq 6$
144242	Solve for d	s=356 square root of d	$s = 356 \sqrt{d}$
144243	Expand Using the Binomial Theorem	(12x+y)^3	${(12 x + y)}^{3}$
144244	Convert to Radical Form	(3x)^(4/5)	${(3 x)}^{\frac{4}{5}}$
144245	Convert to Radical Form	(4/9)^(1/2)	${(\frac{4}{9})}^{\frac{1}{2}}$
144246	Find the Domain	y=(2x-4)/(x^2-4)	$y = \frac{2 x - 4}{x^{2} - 4}$
144247	Find Where Increasing/Decreasing	f(x)=x^3-4x	$f (x) = x^{3} - 4 x$
144248	Determine if Odd, Even, or Neither	f(x)=-2x^2-3	$f (x) = - 2 x^{2} - 3$
144249	Solve by Substitution	x+y=12x-y=2	$x + y = 12 x - y = 2$
144250	Solve by Substitution	x+y=154x+3y=38	$x + y = 154 x + 3 y = 38$
144251	Solve by Substitution	y=x^2-37x-y=13	$y = x^{2} - 37 x - y = 13$
144252	Solve by Substitution	-4x+7y+5=0 x-3y=-5	$- 4 x + 7 y + 5 = 0$ $x - 3 y = - 5$
144253	Factor by Grouping	x^3+6x^2+6x+36	$x^{3} + 6 x^{2} + 6 x + 36$
144254	Factor by Grouping	x^3-5x^2+6x-30	$x^{3} - 5 x^{2} + 6 x - 30$
144255	Factor by Grouping	3ab-a-3b^2+b	$3 a b - a - 3 b^{2} + b$
144256	Factor by Grouping	ac-5ad-5bc+25bd	$a c - 5 a d - 5 b c + 25 b d$
144257	Apply the Quadratic Formula	3x^2+2x-1	$3 x^{2} + 2 x - 1$
144258	Find the Discriminant	x^2-6x=-9	$x^{2} - 6 x = - 9$
144259	Find the Discriminant	2x^2+9x+7=0	$2 x^{2} + 9 x + 7 = 0$
144260	Find the Discriminant	4x^2+5x+1=0	$4 x^{2} + 5 x + 1 = 0$
144261	Solve for h	13.3 = square root of 11.3^2+h^2	$13.3 = \sqrt{{11.3}^{2} + h^{2}}$
144262	Solve for h	3h^2+17h=-10	$3 h^{2} + 17 h = - 10$
144263	Solve for h	d = square root of (3h)/2	$d = \sqrt{\frac{3 h}{2}}$
144264	Solve for G	F=(GMm)/(r^2)	$F = \frac{G M m}{r^{2}}$
144265	Solve for Q	M=3Q-2P	$M = 3 Q - 2 P$
144266	Solve for s	s=356 square root of d	$s = 356 \sqrt{d}$
144267	Expand Using the Binomial Theorem	(10x+y)^3	${(10 x + y)}^{3}$
144268	Expand Using the Binomial Theorem	(x+2)^19	${(x + 2)}^{19}$
144269	Plot	-2a-5>3	$- 2 a - 5 > 3$
144270	Divide Using Long Polynomial Division	(x^4+x^3-5x^2+13x-6)/(x^2+3x-2)	$\frac{x^{4} + x^{3} - 5 x^{2} + 13 x - 6}{x^{2} + 3 x - 2}$
144271	Find Amplitude, Period, and Phase Shift	y=1/2sin(6x)	$y = \frac{1}{2} \sin (6 x)$
144272	Factor by Grouping	ac+4a-2c-8	$a c + 4 a - 2 c - 8$
144273	Factor by Grouping	ac+ad+bc+bd	$a c + a d + b c + b d$
144274	Factor by Grouping	42mc+36md-7n^2c-6n^2d	$42 m c + 36 m d - 7 n^{2} c - 6 n^{2} d$
144275	Factor by Grouping	18x^2-30x-3x+5	$18 x^{2} - 30 x - 3 x + 5$
144276	Factor by Grouping	12x^3-21x^2+28x-49	$12 x^{3} - 21 x^{2} + 28 x - 49$
144277	Factor by Grouping	12n^3+4n^2+3n+1	$12 n^{3} + 4 n^{2} + 3 n + 1$
144278	Factor by Grouping	x/2+y/3-z/4	$\frac{x}{2} + \frac{y}{3} - \frac{z}{4}$
144279	Factor by Grouping	x^3+4x^2+7x+28	$x^{3} + 4 x^{2} + 7 x + 28$
144280	Factor by Grouping	x^3-x^2+x-1	$x^{3} - x^{2} + x - 1$
144281	Identify the Sequence	1 , 4 , 16 , 64 , 256	$1$ , $4$ , $16$ , $64$ , $256$
144282	Identify the Sequence	1 , 3 , 9 , 27 , 81	$1$ , $3$ , $9$ , $27$ , $81$
144283	Identify the Sequence	1 , -3 , 9 , -27 , 81	$1$ , $- 3$ , $9$ , $- 27$ , $81$
144284	Find the Slope of a Perpendicular Line	y=x+8	$y = x + 8$
144285	Solve by Substitution	5x-6y=0y=x	$5 x - 6 y = 0 y = x$
144286	Solve by Substitution	2x+7y=3 x=-4y	$2 x + 7 y = 3$ $x = - 4 y$
144287	Solve by Substitution	2x+y=10y=3x	$2 x + y = 10 y = 3 x$
144288	Solve by Substitution	x+y=18y=8x	$x + y = 18 y = 8 x$
144289	Solve by Substitution	x^2+y^2=8x-y=0	$x^{2} + y^{2} = 8 x - y = 0$
144290	Solve for s	s^3+125=0	$s^{3} + 125 = 0$
144291	Solve for q	q^2+7q-18=0	$q^{2} + 7 q - 18 = 0$
144292	Solve for s	-15r+12s=-5	$- 15 r + 12 s = - 5$
144293	Solve for s	-15r+9s=-6	$- 15 r + 9 s = - 6$
144294	Solve for s	square root of 3-s=s-1	$\sqrt{3 - s} = s - 1$
144295	Solve for q	11q-4=3r-6	$11 q - 4 = 3 r - 6$
144296	Solve for q	4q^2-4q+1=0	$4 q^{2} - 4 q + 1 = 0$
144297	Solve for g	6 = cube root of 8g	$6 = \sqrt[3]{8 g}$
144298	Write with Rational (Fractional) Exponents	square root of 169x^5	$\sqrt{169 x^{5}}$
144299	Find the Discriminant	12x=-4x^2-9	$12 x = - 4 x^{2} - 9$
144300	Find the Discriminant	2x^2+4x+3=0	$2 x^{2} + 4 x + 3 = 0$