Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
131101	Find the Equation Given the Roots	4-7i	$4 - 7 i$
131102	Find the Equation Given the Roots	-3 , 1+i	$- 3$ , $1 + i$
131103	Solve Using an Inverse Matrix	7/4x-9/4y-z=-8x-y-z=-8-5/4x+7/4y+z=1	$\frac{7}{4} x - \frac{9}{4} y - z = - 8 x - y - z = - 8 - \frac{5}{4} x + \frac{7}{4} y + z = 1$
131104	Determine if @POINT is a Solution	x^2>y , (2,0)	$x^{2} > y$ , $(2, 0)$
131105	Split Using Partial Fraction Decomposition	12/(x(x+8))	$\frac{12}{x (x + 8)}$
131106	Find the Roots/Zeros Using the Rational Roots Test	f(x)=11x^3+127x^2+67x+11	$f (x) = 11 x^{3} + 127 x^{2} + 67 x + 11$
131107	Find the LCD	-2/(3x) , 6/(2x)	$\frac{- 2}{3 x}$ , $\frac{6}{2 x}$
131108	Find the LCD	1/z ; 3/(7z)	$\frac{1}{z}$ ; $\frac{3}{7 z}$
131109	Convert to Rectangular Coordinates	(8,(5pi)/6)	$(8, \frac{5 π}{6})$
131110	Find the Vertex Form	4x^2+y^2-16x+2y+13=0	$4 x^{2} + y^{2} - 16 x + 2 y + 13 = 0$
131111	Find the Vertex Form	4x^2+9y^2+8x+54y+52=3	$4 x^{2} + 9 y^{2} + 8 x + 54 y + 52 = 3$
131112	Find the Vertex Form	x^2-2x-8	$x^{2} - 2 x - 8$
131113	Find the Vertex Form	x^2-4x+11	$x^{2} - 4 x + 11$
131114	Combine	12r-8-12	$12 r - 8 - 12$
131115	Combine	(5-i)+3i	$(5 - i) + 3 i$
131116	Find the Quadratic Equation	(-6,4)	$(- 6, 4)$
131117	Find the Third Term	a_n=3n-1	$a_{n} = 3 n - 1$
131118	Find the GCF	4x-20y+4	$4 x - 20 y + 4$
131119	Find the GCF	21x^11+7x^5	$21 x^{11} + 7 x^{5}$
131120	Find the GCF	15x^2-12x	$15 x^{2} - 12 x$
131121	Find All Complex Number Solutions	x^2-8x+16=0	$x^{2} - 8 x + 16 = 0$
131122	Find the Remainder	(2x^4+5x^3-17x^2-5)/(x+3)	$\frac{2 x^{4} + 5 x^{3} - 17 x^{2} - 5}{x + 3}$
131123	Determine the Nature of the Roots Using the Discriminant	-2x^2+7x-3=0	$- 2 x^{2} + 7 x - 3 = 0$
131124	Write the Fraction in Simplest Form	16/40	$\frac{16}{40}$
131125	Write the Fraction in Simplest Form	80/16	$\frac{80}{16}$
131126	Write the Fraction in Simplest Form	2 1/3	$2 \frac{1}{3}$
131127	Write the Fraction in Simplest Form	4/20	$\frac{4}{20}$
131128	Write the Fraction in Simplest Form	30/45	$\frac{30}{45}$
131129	Find the LCM	4x^2y , 12xy^2	$4 x^{2} y$ , $12 x y^{2}$
131130	Find the End Behavior	f(x)=5x^4+3x^2-1	$f (x) = 5 x^{4} + 3 x^{2} - 1$
131131	Find the End Behavior	f(x)=2x^3-26x-24	$f (x) = 2 x^{3} - 26 x - 24$
131132	Find the End Behavior	f(x)=3x^5+6x^4-x-3	$f (x) = 3 x^{5} + 6 x^{4} - x - 3$
131133	Find the End Behavior	f(x)=e^x	$f (x) = e^{x}$
131134	Find the Center	(x^2)/256-(y^2)/144=1	$\frac{x^{2}}{256} - \frac{y^{2}}{144} = 1$
131135	Find the Center	(x^2)/16+(y^2)/49=1	$\frac{x^{2}}{16} + \frac{y^{2}}{49} = 1$
131136	Find the Center	11x^2-25y^2+22x+250y-889=0	$11 x^{2} - 25 y^{2} + 22 x + 250 y - 889 = 0$
131137	Determine if Injective (One to One)	f(x)=4x-8	$f (x) = 4 x - 8$
131138	Determine if Injective (One to One)	f(x)=8x-7	$f (x) = 8 x - 7$
131139	Find the Distance Between Two Points	(-2,5) , (-2,0)	$(- 2, 5) (- 2, 0)$
131140	Solve for l	2.5=2 square root of l/3.6	$2.5 = 2 \sqrt{\frac{l}{3.6}}$
131141	Solve for l	4.5=2pi square root of l/9.8	$4.5 = 2 π \sqrt{\frac{l}{9.8}}$
131142	Solve for l	4.5=4 square root of l/5.2	$4.5 = 4 \sqrt{\frac{l}{5.2}}$
131143	Solve for I	16=2 square root of I-9	$16 = 2 \sqrt{I} - 9$
131144	Solve for I	A=P+I	$A = P + I$
131145	Solve for l	l+15.2=-4.5	$l + 15.2 = - 4.5$
131146	Solve for L	v = square root of 20L	$v = \sqrt{20 L}$
131147	Determine the Possible Number of Real Roots	x^2-4x+4=0	$x^{2} - 4 x + 4 = 0$
131148	Find the Symmetry	y^2=x+144	$y^{2} = x + 144$
131149	Find the LCD	4/3+2/x=4	$\frac{4}{3} + \frac{2}{x} = 4$
131150	Solve by Addition/Elimination	x+y=3x-y=7	$x + y = 3 x - y = 7$
131151	Solve by Addition/Elimination	12x-10y=1418x-15y=21	$12 x - 10 y = 1418 x - 15 y = 21$
131152	Solve by Addition/Elimination	12x-5y=30y=2x-6	$12 x - 5 y = 30 y = 2 x - 6$
131153	Find the Slope and y-intercept	(1,5) , (-2,-1)	$(1, 5) (- 2, - 1)$
131154	Find the Slope and y-intercept	(-2,7) , (3,2)	$(- 2, 7) (3, 2)$
131155	Find the Determinant	[[1,a,1],[0,0,b],[1,c,1]]	$[\begin{array}{c} 1 & a & 1 \\ 0 & 0 & b \\ 1 & c & 1 \end{array}]$
131156	Find the Determinant	[[x,1],[2,x]]	$[\begin{array}{c} x & 1 \\ 2 & x \end{array}]$
131157	Find the Range	f(x)=8x-x^2-15	$f (x) = 8 x - x^{2} - 15$
131158	Determine if Linear	y=4x^2+8	$y = 4 x^{2} + 8$
131159	Determine if Linear	y=x-6	$y = x - 6$
131160	Find the Symmetry	f(x)=(x-1)/(x^2-1)	$f (x) = \frac{x - 1}{x^{2} - 1}$
131161	Find the Next Term	1/2 , 1/3 , 2/9 , 4/27	$\frac{1}{2}$ , $\frac{1}{3}$ , $\frac{2}{9}$ , $\frac{4}{27}$
131162	Find the Next Term	3 , -6 , 12 , 4 , 20	$3$ , $- 6$ , $12$ , $4$ , $20$
131163	Find the Next Term	8 , 6 , 4 , 2 , 0	$8$ , $6$ , $4$ , $2$ , $0$
131164	Round to the Nearest Tenth	6.6	$6.6$
131165	Round to the Nearest Tenth	75.64	$75.64$
131166	Round to the Nearest Hundredth	4.186	$4.186$
131167	Solve for x	12<=5x+2<=27	$12 \leq 5 x + 2 \leq 27$
131168	Verify the Identity	sin(x)cos(y)=1/2(sin(x+y)+cos(x-y))	$\sin (x) \cos (y) = \frac{1}{2} (\sin (x + y) + \cos (x - y))$
131169	Find the Sample Standard Deviation	11 , 12 , 13 , 14 , 15	$11$ , $12$ , $13$ , $14$ , $15$
131170	Find the Sample Standard Deviation	3 , 4 , 4 , 6 , 6 , 7	$3$ , $4$ , $4$ , $6$ , $6$ , $7$
131171	Convert to Set Notation	(-1,infinity)	$(- 1, \infty)$
131172	Write as a Function of c	cube root of (x^3)/(cy^4)=x/(4y( cube root of y))	$\sqrt[3]{\frac{x^{3}}{c y^{4}}} = \frac{x}{4 y (\sqrt[3]{y})}$
131173	Write as a Function of x	y=7x	$y = 7 x$
131174	Convert to Rectangular	4(cos((11pi)/6)+isin((11pi)/6))	$4 (\cos (\frac{11 π}{6}) + i \sin (\frac{11 π}{6}))$
131175	Convert to Rectangular	2(cos(pi/3)+isin(pi/3))	$2 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3}))$
131176	Convert to Rectangular	z=5(cos(pi)+isin(pi))	$z = 5 (\cos (π) + i \sin (π))$
131177	Find the Slope of a Parallel Line	y=-4x+5	$y = - 4 x + 5$
131178	Find the Slope of a Parallel Line	y=-3x+2	$y = - 3 x + 2$
131179	Find the Slope of a Parallel Line	y=3x+4	$y = 3 x + 4$
131180	Find the Slope of a Parallel Line	y=2x-7	$y = 2 x - 7$
131181	Find the Slope of a Parallel Line	y=-2x+5	$y = - 2 x + 5$
131182	Find the Slope of a Parallel Line	x-y=16	$x - y = 16$
131183	Find the Slope of a Parallel Line	y=1/3x+4	$y = \frac{1}{3} x + 4$
131184	Find the Slope of a Parallel Line	y=-1/4x+2	$y = - \frac{1}{4} x + 2$
131185	Find the Slope of a Parallel Line	y=7x-4	$y = 7 x - 4$
131186	Find the Slope of a Parallel Line	y=8x-5	$y = 8 x - 5$
131187	Find the Degree, Leading Term, and Leading Coefficient	x^4+7x-3x^2-x^3	$x^{4} + 7 x - 3 x^{2} - x^{3}$
131188	Find the Degree, Leading Term, and Leading Coefficient	x^5	$x^{5}$
131189	Find the Degree, Leading Term, and Leading Coefficient	5x^3	$5 x^{3}$
131190	Find the Degree, Leading Term, and Leading Coefficient	-9	$- 9$
131191	Reduce	(3m^2-3n^2)/(6m+6n)	$\frac{3 m^{2} - 3 n^{2}}{6 m + 6 n}$
131192	Reduce	a/(b-2)	$\frac{a}{b - 2}$
131193	Graph Using a Table of Values	2/5x-1/5y>=0	$\frac{2}{5} x - \frac{1}{5} y \geq 0$
131194	Graph Using a Table of Values	x+2y<=4	$x + 2 y \leq 4$
131195	Graph Using a Table of Values	y=x-6	$y = x - 6$
131196	Graph Using a Table of Values	y=5x-4	$y = 5 x - 4$
131197	Graph Using a Table of Values	y=6x+2	$y = 6 x + 2$
131198	Evaluate Using the Given Value	f(3)=5	$f (3) = 5$
131199	Evaluate Using the Given Value	f(9)=3^9	$f (9) = 3^{9}$
131200	Find the GCF	4x-28y+4	$4 x - 28 y + 4$