Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
118301	Solve by Completing the Square	5x^2+14x=3	$5 x^{2} + 14 x = 3$
118302	Solve by Completing the Square	4z^2+3z-1=0	$4 z^{2} + 3 z - 1 = 0$
118303	Solve by Completing the Square	x^2+2x=21	$x^{2} + 2 x = 21$
118304	Find the Axis of Symmetry	f(x)=x^2-7x+12	$f (x) = x^{2} - 7 x + 12$
118305	Find the Axis of Symmetry	f(x)=-(x+7)^2+4	$f (x) = - {(x + 7)}^{2} + 4$
118306	Find the Axis of Symmetry	f(x)=-x^2+2x-6	$f (x) = - x^{2} + 2 x - 6$
118307	Find the Axis of Symmetry	h(x)=5x^2+40x+64	$h (x) = 5 x^{2} + 40 x + 64$
118308	Find the End Behavior	y=3x^4+6x^3-x^2+12	$y = 3 x^{4} + 6 x^{3} - x^{2} + 12$
118309	Find the LCM	5p-20 , 15p-60	$5 p - 20$ , $15 p - 60$
118310	Find the LCM	t^2-8t+15 , t^2-t-20	$t^{2} - 8 t + 15$ , $t^{2} - t - 20$
118311	Find the LCM	5 , 20 , 24	$5$ , $20$ , $24$
118312	Find the LCM	10 , 12	$10$ , $12$
118313	Find the Function Rule	table[[x,q(x)],[4,10],[7,16],[2,6]]	$\begin{array}{c} x & q (x) \\ 4 & 10 \\ 7 & 16 \\ 2 & 6 \end{array}$
118314	Find the Determinant	[[0,-2,-3],[1,2,4],[-2,0,1]]	$[\begin{array}{c} 0 & - 2 & - 3 \\ 1 & 2 & 4 \\ - 2 & 0 & 1 \end{array}]$
118315	Complete the Square	x^2+9x-5	$x^{2} + 9 x - 5$
118316	Complete the Square	x^2-3x+	$x^{2} - 3 x +$
118317	Find the Axis of Symmetry	y=-(x+4)^2-6	$y = - {(x + 4)}^{2} - 6$
118318	Find the x and y Intercepts	-3x^3(x-1)^2(x+3)	$- 3 x^{3} {(x - 1)}^{2} (x + 3)$
118319	Find the x and y Intercepts	(8x)/(x^2-4)	$\frac{8 x}{x^{2} - 4}$
118320	Find the Symmetry	y=6x^3	$y = 6 x^{3}$
118321	Rationalize the Denominator	7/(5-2 square root of 2)	$\frac{7}{5 - 2 \sqrt{2}}$
118322	Rationalize the Denominator	6/(2+ square root of 7)	$\frac{6}{2 + \sqrt{7}}$
118323	Rationalize the Denominator	(4(x-y))/( square root of x- square root of y)	$\frac{4 (x - y)}{\sqrt{x} - \sqrt{y}}$
118324	Rationalize the Denominator	15/( cube root of 9)	$\frac{15}{\sqrt[3]{9}}$
118325	Find the Discriminant	3t^2-7t=0	$3 t^{2} - 7 t = 0$
118326	Find the Local Maxima and Minima	p(x)=4/9x^3-2x^2	$p (x) = \frac{4}{9} x^{3} - 2 x^{2}$
118327	Find the Equation Given the Roots	5 , -5 , 5i , -5i	$5$ , $- 5$ , $5 i$ , $- 5 i$
118328	Find the Slope and y-intercept	y=-8x-1	$y = - 8 x - 1$
118329	Find the Slope and y-intercept	y=-3/4x+9	$y = - \frac{3}{4} x + 9$
118330	Find the Slope and y-intercept	y=7/3x+5	$y = \frac{7}{3} x + 5$
118331	Find the Slope and y-intercept	8x+y=2	$8 x + y = 2$
118332	Find the Slope and y-intercept	-6x-3y=9	$- 6 x - 3 y = 9$
118333	Find the Slope and y-intercept	3x-4y=-13	$3 x - 4 y = - 13$
118334	Find the Slope and y-intercept	-2x+8y=24	$- 2 x + 8 y = 24$
118335	Find the Symmetry	f(x)=x^3+2x	$f (x) = x^{3} + 2 x$
118336	Find the GCF	x^2 , -15x	$x^{2}$ , $- 15 x$
118337	Find the GCF	12 , 20 , 56	$12$ , $20$ , $56$
118338	Find the Inverse	log base 1/5 of x	$\log_{\frac{1}{5}} (x)$
118339	Find the Inverse	-2/3x-5	$- \frac{2}{3} x - 5$
118340	Find the Inverse	(6x+7)/(x+6)	$\frac{6 x + 7}{x + 6}$
118341	Find the Maximum/Minimum Value	r(x)=400x-0.2x^2	$r (x) = 400 x - 0.2 x^{2}$
118342	Find the Maximum/Minimum Value	f(x)=-5x^2-50x-123	$f (x) = - 5 x^{2} - 50 x - 123$
118343	Find the Maximum/Minimum Value	f(x)=2x^2-4x-8	$f (x) = 2 x^{2} - 4 x - 8$
118344	Find the Maximum/Minimum Value	f(x)=x^2-7x+12	$f (x) = x^{2} - 7 x + 12$
118345	Divide Using Synthetic Division	(x^2-5x-5x^3+x^4)/(5+x)	$\frac{(x^{2} - 5 x - 5 x^{3} + x^{4})}{(5 + x)}$
118346	Divide Using Synthetic Division	(x^2+7x+12)÷(x+4)	$(x^{2} + 7 x + 12) \div (x + 4)$
118347	Solve Using the Square Root Property	(x-1)^2=32	${(x - 1)}^{2} = 32$
118348	Solve Using the Square Root Property	4(x-2)^2=25	$4 {(x - 2)}^{2} = 25$
118349	Solve Using the Square Root Property	3(x+2)^2=60	$3 {(x + 2)}^{2} = 60$
118350	Solve Using the Square Root Property	3(x+4)^2-24=0	$3 {(x + 4)}^{2} - 24 = 0$
118351	Solve Using the Square Root Property	x^2-245=0	$x^{2} - 245 = 0$
118352	Solve Using the Square Root Property	3(x+8)^2=54	$3 {(x + 8)}^{2} = 54$
118353	Solve Using the Square Root Property	2(x+3)^2=40	$2 {(x + 3)}^{2} = 40$
118354	Solve Using the Square Root Property	(m+11)^2=64	${(m + 11)}^{2} = 64$
118355	Find the Slope	10x+4y=-4	$10 x + 4 y = - 4$
118356	Find the Slope	5x-8y=16	$5 x - 8 y = 16$
118357	Find the Slope	7x-8y=1	$7 x - 8 y = 1$
118358	Find the Slope	-6x-2y=-10	$- 6 x - 2 y = - 10$
118359	Find the Slope	6y=-7x	$6 y = - 7 x$
118360	Find the Slope	(12,-18) , (11,12)	$(12, - 18)$ , $(11, 12)$
118361	Find the Slope	-5x+y=16	$- 5 x + y = 16$
118362	Identify the Sequence	-4 , 8 , -12 , 16	$- 4$ , $8$ , $- 12$ , $16$
118363	Find the Slope	(-3,1) , (-17,2)	$(- 3, 1)$ , $(- 17, 2)$
118364	Find the Slope	m=1/2	$m = \frac{1}{2}$
118365	Identify the Sequence	6 , 14 , 22 , 30 , 38	$6$ , $14$ , $22$ , $30$ , $38$
118366	Divide Using Long Polynomial Division	(4x^2-2x+7)÷(x-1)	$(4 x^{2} - 2 x + 7) \div (x - 1)$
118367	Find the Degree	x^7y^2z	$x^{7} y^{2} z$
118368	Divide Using Long Polynomial Division	(x^5+y^5)÷(x+y)	$(x^{5} + y^{5}) \div (x + y)$
118369	Expand Using Pascal's Triangle	(y-5)^7	${(y - 5)}^{7}$
118370	Find the GCF	8x^3y^2+20x^2y^4	$8 x^{3} y^{2} + 20 x^{2} y^{4}$
118371	Find the GCF	5d^3+20d-35	$5 d^{3} + 20 d - 35$
118372	Find the GCF	20y^6-15y^4+40y^2	$20 y^{6} - 15 y^{4} + 40 y^{2}$
118373	Find the GCF	6m^3x^4+30m^5y^2+45m^3x^6y^2	$6 m^{3} x^{4} + 30 m^{5} y^{2} + 45 m^{3} x^{6} y^{2}$
118374	Find the GCF	16p^4+4p^3	$16 p^{4} + 4 p^{3}$
118375	Find Where Undefined/Discontinuous	(x^2-12x+35)/(x^2-25)*(x^2+6x+5)/(x^2-6x-7)	$\frac{x^{2} - 12 x + 35}{x^{2} - 25} \cdot \frac{x^{2} + 6 x + 5}{x^{2} - 6 x - 7}$
118376	Convert to an Improper Fraction	6 1/6	$6 \frac{1}{6}$
118377	Convert to an Improper Fraction	1 7/12	$1 \frac{7}{12}$
118378	Convert to an Improper Fraction	7 12/25	$7 \frac{12}{25}$
118379	Find the Fourth Term	-2 , 8 , -32	$- 2$ , $8$ , $- 32$
118380	Convert to an Improper Fraction	1 4/9	$1 \frac{4}{9}$
118381	Find the Roots (Zeros)	x^6-4x^5-24x^2+10x-3=0	$x^{6} - 4 x^{5} - 24 x^{2} + 10 x - 3 = 0$
118382	Find the Roots (Zeros)	x^4-3x^3-68x^2-88x-24=0	$x^{4} - 3 x^{3} - 68 x^{2} - 88 x - 24 = 0$
118383	Find the Roots (Zeros)	y=(x-3)(2x+1)(x-1)	$y = (x - 3) (2 x + 1) (x - 1)$
118384	Find the Roots (Zeros)	2x^4-9x^3+17x^2-36x+36=0	$2 x^{4} - 9 x^{3} + 17 x^{2} - 36 x + 36 = 0$
118385	Find the Roots (Zeros)	2x^4-13x^3+25x^2-26x+42=0	$2 x^{4} - 13 x^{3} + 25 x^{2} - 26 x + 42 = 0$
118386	Find the Roots (Zeros)	3x^3-2x^2-21x+14=0	$3 x^{3} - 2 x^{2} - 21 x + 14 = 0$
118387	Find the Roots (Zeros)	cube root of x-5-2=0	$\sqrt[3]{x - 5} - 2 = 0$
118388	Find the Roots (Zeros)	-4x^2-7=-11	$- 4 x^{2} - 7 = - 11$
118389	Find the Roots (Zeros)	y=2x^3-8x^2+18x-72	$y = 2 x^{3} - 8 x^{2} + 18 x - 72$
118390	Find the Roots (Zeros)	y=-3tan(1/2x)	$y = - 3 \tan (\frac{1}{2} x)$
118391	Find the Vertex	y=2(x-4)^2+5	$y = 2 {(x - 4)}^{2} + 5$
118392	Find the Vertex	y=(x-5)^2+4	$y = {(x - 5)}^{2} + 4$
118393	Find the Vertex	y=(x-2)^2-6	$y = {(x - 2)}^{2} - 6$
118394	Find the Vertex	y=16x-4x^2	$y = 16 x - 4 x^{2}$
118395	Find the Vertex	y=-4(x+3)^2+2	$y = - 4 {(x + 3)}^{2} + 2$
118396	Find the Vertex	y=x^2-2x+11	$y = x^{2} - 2 x + 11$
118397	Find Amplitude, Period, and Phase Shift	y=-6sin(3x+pi/2)	$y = - 6 \sin (3 x + \frac{π}{2})$
118398	Write as a Function of x	x^2-6x=2x-4y	$x^{2} - 6 x = 2 x - 4 y$
118399	Reduce the Fraction	14/52	$\frac{14}{52}$
118400	Reduce the Fraction	105/180	$\frac{105}{180}$