Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
144301	Find the Discriminant	x^2+6x=-9	$x^{2} + 6 x = - 9$
144302	Expand Using the Binomial Theorem	(3x+4y)^3	${(3 x + 4 y)}^{3}$
144303	Solve by Substitution	x+2y=10x+y=6	$x + 2 y = 10 x + y = 6$
144304	Solve by Substitution	x+y=5x-y=3	$x + y = 5 x - y = 3$
144305	Solve by Substitution	y=x^2-6y=x^2-6x	$y = x^{2} - 6 y = x^{2} - 6 x$
144306	Solve by Substitution	5x+y=8y=3x	$5 x + y = 8 y = 3 x$
144307	Solve by Substitution	2x-2y=63x+2y=9	$2 x - 2 y = 63 x + 2 y = 9$
144308	Solve by Substitution	3x+y=15y=2x	$3 x + y = 15 y = 2 x$
144309	Find Where Undefined/Discontinuous	(y-3)/(y^2-9)	$\frac{y - 3}{y^{2} - 9}$
144310	Use the Rational Roots Test to Find All Possible Roots	f(x)=3x^4+x^3-13x^2-2x+9	$f (x) = 3 x^{4} + x^{3} - 13 x^{2} - 2 x + 9$
144311	Use the Factor Theorem to Determine if x-2 is a Factor	P(x)=2x^3-2x^2-2x-4x-2	$P (x) = 2 x^{3} - 2 x^{2} - 2 x - 4 x - 2$
144312	Find Amplitude, Period, and Phase Shift	y=4cos(3x)	$y = 4 \cos (3 x)$
144313	Factor by Grouping	28xy+25+35x+20y	$28 x y + 25 + 35 x + 20 y$
144314	Factor by Grouping	3x+18+xy+6y	$3 x + 18 + x y + 6 y$
144315	Factor by Grouping	40xy+30x-100y-75	$40 x y + 30 x - 100 y - 75$
144316	Factor by Grouping	7x+14+xy+2y	$7 x + 14 + x y + 2 y$
144317	Factor by Grouping	5x^3-x^2+15x-3	$5 x^{3} - x^{2} + 15 x - 3$
144318	Factor by Grouping	ay-4by+4ax-16bx	$a y - 4 b y + 4 a x - 16 b x$
144319	Identify the Sequence	128 , 320 , 800 , 2000	$128$ , $320$ , $800$ , $2000$
144320	Solve for g	1/4(7+3g)=-g/8	$\frac{1}{4} (7 + 3 g) = - \frac{g}{8}$
144321	Solve for q	2q^2+14q-5=0	$2 q^{2} + 14 q - 5 = 0$
144322	Solve for s	8s+9=7s+6	$8 s + 9 = 7 s + 6$
144323	Solve for s	-8s=40	$- 8 s = 40$
144324	Solve for s	80=s^2	$80 = s^{2}$
144325	Solve for s	-4=-8r+10s	$- 4 = - 8 r + 10 s$
144326	Solve for s	s^2=225	$s^{2} = 225$
144327	Solve for s	s^2+5s=-20	$s^{2} + 5 s = - 20$
144328	Solve for s	s-2<=7	$s - 2 \leq 7$
144329	Find the LCD	(9x+1)/(x^2+6x-7)(2x)/(x^2+5x-6)	$\frac{9 x + 1}{x^{2} + 6 x - 7} \frac{2 x}{x^{2} + 5 x - 6}$
144330	Expand Using the Binomial Theorem	(2y+1)^3	${(2 y + 1)}^{3}$
144331	Find the Discriminant	3x^2-2x+4=0	$3 x^{2} - 2 x + 4 = 0$
144332	Find the Discriminant	5x^2-3x+4=0	$5 x^{2} - 3 x + 4 = 0$
144333	Factor by Grouping	2y-18+xy-9x	$2 y - 18 + x y - 9 x$
144334	Factor by Grouping	2my+7m+7x+2xy	$2 m y + 7 m + 7 x + 2 x y$
144335	Solve by Substitution	-3y=-2x-7-4x=-6y-10	$- 3 y = - 2 x - 7 - 4 x = - 6 y - 10$
144336	Solve by Substitution	2x-3y-2z=-7x-3y-3z=4x-2y-z=-3	$2 x - 3 y - 2 z = - 7 x - 3 y - 3 z = 4 x - 2 y - z = - 3$
144337	Solve by Substitution	y=3xy=x^2-4	$y = 3 x y = x^{2} - 4$
144338	Solve by Substitution	x-2y=-42x-y=1	$x - 2 y = - 42 x - y = 1$
144339	Solve by Substitution	-x-4y=3x+4y=-3	$- x - 4 y = 3 x + 4 y = - 3$
144340	Solve by Substitution	8x-y=45x+3y=17	$8 x - y = 45 x + 3 y = 17$
144341	Solve by Substitution	-x+3y=3x-3y=-3	$- x + 3 y = 3 x - 3 y = - 3$
144342	Find the Equation with a Point and y-intercept	(10,10) , b=1	$(10, 10)$ , $b = 1$
144343	Divide Using Long Polynomial Division	(x^3+3x^2-4x-12)÷(x^2+5x+6)	$(x^{3} + 3 x^{2} - 4 x - 12) \div (x^{2} + 5 x + 6)$
144344	Find the Slope of a Perpendicular Line	y=-1/5x+2	$y = - \frac{1}{5} x + 2$
144345	Find the Slope of a Perpendicular Line	y=4x-9	$y = 4 x - 9$
144346	Describe the Transformation	f(x)=\|x-3\|-2	$f (x) = \| x - 3 \| - 2$
144347	Solve for q	q^2+3q-40=0	$q^{2} + 3 q - 40 = 0$
144348	Solve for q	px+q=46x+23	$p x + q = 46 x + 23$
144349	Solve for Q	Px-37=Qx-37	$P x - 37 = Q x - 37$
144350	Solve for g	g(r)=-1-7r	$g (r) = - 1 - 7 r$
144351	Solve for g	e=2gh	$e = 2 g h$
144352	Expand Using Pascal's Triangle	(s-2v)^5	${(s - 2 v)}^{5}$
144353	Find the Discriminant	5x^2-2x+1=0	$5 x^{2} - 2 x + 1 = 0$
144354	Expand Using the Binomial Theorem	(3r+5t)^2	${(3 r + 5 t)}^{2}$
144355	Expand Using the Binomial Theorem	(2x+4)^4	${(2 x + 4)}^{4}$
144356	Factor by Grouping	x^3+11x^2-3x-33	$x^{3} + 11 x^{2} - 3 x - 33$
144357	Factor by Grouping	x^2-22x+121-y^2	$x^{2} - 22 x + 121 - y^{2}$
144358	Factor by Grouping	mr+ns-nr-ms	$m r + n s - n r - m s$
144359	Factor by Grouping	4x^3+2x^2-18x-9	$4 x^{3} + 2 x^{2} - 18 x - 9$
144360	Divide Using Synthetic Division	(x^3-4x^2+4x-1)/(x-1)	$\frac{(x^{3} - 4 x^{2} + 4 x - 1)}{(x - 1)}$
144361	Solve by Substitution	x+y=10y=x+8	$x + y = 10 y = x + 8$
144362	Solve by Substitution	8x+5y=24 y=-4x	$8 x + 5 y = 24$ $y = - 4 x$
144363	Solve by Substitution	-x-4y=2x+4y=-2	$- x - 4 y = 2 x + 4 y = - 2$
144364	Solve by Substitution	y=x^2-17x-y=11	$y = x^{2} - 17 x - y = 11$
144365	Solve by Substitution	2y+4x=182y-3x=4	$2 y + 4 x = 182 y - 3 x = 4$
144366	Find the Bounds of the Zeros	f(x)=2x^2+6	$f (x) = 2 x^{2} + 6$
144367	Convert to an Improper Fraction	8 5/3	$8 \frac{5}{3}$
144368	Convert to an Improper Fraction	3 6/9	$3 \frac{6}{9}$
144369	Find the Slope of a Perpendicular Line	y=3x-8	$y = 3 x - 8$
144370	Find the Slope of a Perpendicular Line	y=-7/4x	$y = - \frac{7}{4} x$
144371	Find the Slope of a Perpendicular Line	3x+2y=12	$3 x + 2 y = 12$
144372	Identify the Sequence	7 , 9 , 11 , 13 , 15	$7$ , $9$ , $11$ , $13$ , $15$
144373	Identify the Zeros and Their Multiplicities	x^3+10x^2+25x	$x^{3} + 10 x^{2} + 25 x$
144374	Solve for G	2/3(F-G)=D	$\frac{2}{3} (F - G) = D$
144375	Solve for q	q^2+3q-10=0	$q^{2} + 3 q - 10 = 0$
144376	Expand Using Pascal's Triangle	(a+b)^7	${(a + b)}^{7}$
144377	Expand Using Pascal's Triangle	(x-2)^7	${(x - 2)}^{7}$
144378	Apply the Quadratic Formula	-4.9t^2+50t+2	$- 4.9 t^{2} + 50 t + 2$
144379	Apply the Quadratic Formula	4x^2+4x-3	$4 x^{2} + 4 x - 3$
144380	Find the Discriminant	x^2+7x+10=0	$x^{2} + 7 x + 10 = 0$
144381	Find the Discriminant	5x^2-3x+2=0	$5 x^{2} - 3 x + 2 = 0$
144382	Find the Discriminant	3x^2-x+5=0	$3 x^{2} - x + 5 = 0$
144383	Find the Discriminant	4x^2+7x+3=0	$4 x^{2} + 7 x + 3 = 0$
144384	Find the Discriminant	3x^2+18x+27=0	$3 x^{2} + 18 x + 27 = 0$
144385	Find the Discriminant	3x^2+2x-3=0	$3 x^{2} + 2 x - 3 = 0$
144386	Expand Using the Binomial Theorem	(2x-1)^7	${(2 x - 1)}^{7}$
144387	Factor by Grouping	5x^3+2x^2+25x+10	$5 x^{3} + 2 x^{2} + 25 x + 10$
144388	Factor by Grouping	x^2+2x-5x-10	$x^{2} + 2 x - 5 x - 10$
144389	Factor by Grouping	ac+5a-3c-15	$a c + 5 a - 3 c - 15$
144390	Factor by Grouping	9x^2-6x+1	$9 x^{2} - 6 x + 1$
144391	Factor by Grouping	10x^2-14xy-15x+21y	$10 x^{2} - 14 x y - 15 x + 21 y$
144392	Factor by Grouping	2x^3-3x^2-10x+15	$2 x^{3} - 3 x^{2} - 10 x + 15$
144393	Find the Difference Quotient	f(x)=x^2-2x+8	$f (x) = x^{2} - 2 x + 8$
144394	Find the Domain	y = square root of 6x-5	$y = \sqrt{6 x - 5}$
144395	Determine if Odd, Even, or Neither	f(x)=x^3+x^2-4	$f (x) = x^{3} + x^{2} - 4$
144396	Determine if Odd, Even, or Neither	f(x)=7	$f (x) = 7$
144397	Find Amplitude, Period, and Phase Shift	y=1/2sin(x/3-pi)	$y = \frac{1}{2} \sin (\frac{x}{3} - π)$
144398	Solve for f	square root of f=7	$\sqrt{f} = 7$
144399	Solve for f	3f-2g=5+h	$3 f - 2 g = 5 + h$
144400	Solve for g	v = square root of (gm)/r	$v = \sqrt{\frac{g m}{r}}$