Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
51301	Solve by Completing the Square	x^2-6x-40=0	$x^{2} - 6 x - 40 = 0$
51302	Solve by Completing the Square	x^2-81=0	$x^{2} - 81 = 0$
51303	Solve by Completing the Square	2x^2+8x-7=-2	$2 x^{2} + 8 x - 7 = - 2$
51304	Describe the Transformation	g(x)=-\|x-3\|+6	$g (x) = - \| x - 3 \| + 6$
51305	Solve by Completing the Square	2x^2-12x+4=0	$2 x^{2} - 12 x + 4 = 0$
51306	Describe the Transformation	g(x)=-1/2(x-2)^2	$g (x) = - \frac{1}{2} {(x - 2)}^{2}$
51307	Solve by Completing the Square	-9x^2+36x=38	$- 9 x^{2} + 36 x = 38$
51308	Solve by Completing the Square	8x^2+16x=42	$8 x^{2} + 16 x = 42$
51309	Describe the Transformation	g(x)=\|x\|-32	$g (x) = \| x \| - 32$
51310	Solve for x	square root of x<=8	$\sqrt{x} \leq 8$
51311	Describe the Transformation	y=\|10x-2\|-7	$y = \| 10 x - 2 \| - 7$
51312	Write in Standard Form	(6+3i)/(6-3i)	$\frac{6 + 3 i}{6 - 3 i}$
51313	Divide	(x^2+8x+11)/(x+6)	$\frac{x^{2} + 8 x + 11}{x + 6}$
51314	Describe the Transformation	4^x-4	$4^{x} - 4$
51315	Write in Standard Form	(4+3i)/(3-i)	$\frac{4 + 3 i}{3 - i}$
51316	Write in Standard Form	1/(2-i)	$\frac{1}{2 - i}$
51317	Describe the Transformation	h(x)=-3x-6	$h (x) = - 3 x - 6$
51318	Calculate the Square Root	square root of 3025	$\sqrt{3025}$
51319	Describe the Transformation	f(x) = square root of 3x+3+3	$f (x) = \sqrt{3 x + 3 + 3}$
51320	Find the Roots (Zeros)	f(x)=x^3-7x+6	$f (x) = x^{3} - 7 x + 6$
51321	Describe the Transformation	g(x)=7^(-x)	$g (x) = 7^{- x}$
51322	Find the Roots (Zeros)	f(x)=x^3-2x^2+x	$f (x) = x^{3} - 2 x^{2} + x$
51323	Describe the Transformation	y = square root of 4x-16	$y = \sqrt{4 x - 16}$
51324	Find the Roots (Zeros)	f(x)=x^3+7x^2-4x-28	$f (x) = x^{3} + 7 x^{2} - 4 x - 28$
51325	Describe the Transformation	g(x)=\|1/2x\|-3	$g (x) = \| \frac{1}{2} x \| - 3$
51326	Find the Roots (Zeros)	f(x)=x^2-6x-4	$f (x) = x^{2} - 6 x - 4$
51327	Describe the Transformation	f(x)=3^(2-x)+2	$f (x) = 3^{2 - x} + 2$
51328	Find the Roots (Zeros)	f(x)=x^2+5x+6	$f (x) = x^{2} + 5 x + 6$
51329	Describe the Transformation	f(x)=-\|x\|-5	$f (x) = - \| x \| - 5$
51330	Describe the Transformation	f(x)=\|x\| , g(x)=\|x\|-4	$f (x) = \| x \|$ , $g (x) = \| x \| - 4$
51331	Find the Roots (Zeros)	x^4-6x^3-5x^2+24x+4=0	$x^{4} - 6 x^{3} - 5 x^{2} + 24 x + 4 = 0$
51332	Find the Roots (Zeros)	x^3-34x-12=0	$x^{3} - 34 x - 12 = 0$
51333	Determine the Possible Number of Real Roots	8x^3-62x^2+43x-7=0	$8 x^{3} - 62 x^{2} + 43 x - 7 = 0$
51334	Find the Roots (Zeros)	x^3+5x^2-2x-15=0	$x^{3} + 5 x^{2} - 2 x - 15 = 0$
51335	Determine the Possible Number of Real Roots	3x^4-5x^2+25=0	$3 x^{4} - 5 x^{2} + 25 = 0$
51336	Find the Roots (Zeros)	x^3+64=0	$x^{3} + 64 = 0$
51337	Find the Roots (Zeros)	2x^4-5x^3+53x^2-125x+75=0	$2 x^{4} - 5 x^{3} + 53 x^{2} - 125 x + 75 = 0$
51338	Determine the Possible Number of Real Roots	x^4+2x^3-23x^2-24x+144=0	$x^{4} + 2 x^{3} - 23 x^{2} - 24 x + 144 = 0$
51339	Find the Roots (Zeros)	3x^2+11x-4=0	$3 x^{2} + 11 x - 4 = 0$
51340	Solve by Factoring	(x-1)^(2/3)=16	${(x - 1)}^{\frac{2}{3}} = 16$
51341	Solve by Factoring	(x-2)^(3/2)=8	${(x - 2)}^{\frac{3}{2}} = 8$
51342	Find Where Increasing/Decreasing	y=(x-7)^2-8	$y = {(x - 7)}^{2} - 8$
51343	Solve by Factoring	(x-3)^(2/3)=16	${(x - 3)}^{\frac{2}{3}} = 16$
51344	Find Where Increasing/Decreasing	y=(x^2)(x^2-2)-1/2	$y = (x^{2}) (x^{2} - 2) - \frac{1}{2}$
51345	Solve by Factoring	(x-5)^(2/3)=81	${(x - 5)}^{\frac{2}{3}} = 81$
51346	Find Where Increasing/Decreasing	y=4(5.6)^x	$y = 4 {(5.6)}^{x}$
51347	Solve by Factoring	(8x-8)^(3/2)=64	${(8 x - 8)}^{\frac{3}{2}} = 64$
51348	Find Where Increasing/Decreasing	y=(x-9)^2-5	$y = {(x - 9)}^{2} - 5$
51349	Solve by Factoring	-(3z+4)=6z-3(3z+2)	$- (3 z + 4) = 6 z - 3 (3 z + 2)$
51350	Find the Roots (Zeros)	y=(x+2)(x+3)	$y = (x + 2) (x + 3)$
51351	Find Where Increasing/Decreasing	y=3x^3-x-3	$y = 3 x^{3} - x - 3$
51352	Find Where Increasing/Decreasing	y=(x-5)^2-3	$y = {(x - 5)}^{2} - 3$
51353	Solve by Factoring	6x^2+12x=0	$6 x^{2} + 12 x = 0$
51354	Find Where Increasing/Decreasing	y=0.25x^2+2x+3	$y = 0.25 x^{2} + 2 x + 3$
51355	Solve by Factoring	6x^2-11x-10=0	$6 x^{2} - 11 x - 10 = 0$
51356	Find the Circle Using the Diameter End Points	(8,12) , (-4,-4)	$(8, 12) (- 4, - 4)$
51357	Solve by Factoring	6-1/t-5/(t^2)=0	$6 - \frac{1}{t} - \frac{5}{t^{2}} = 0$
51358	Find the Circle Using the Diameter End Points	(-3,9) , (5,9)	$(- 3, 9) (5, 9)$
51359	Solve by Factoring	6x^3-7x^2-6x-1=0	$6 x^{3} - 7 x^{2} - 6 x - 1 = 0$
51360	Find the Circle Using the Diameter End Points	(-3,-5) , (-11,-7)	$(- 3, - 5) (- 11, - 7)$
51361	Solve by Factoring	6x^4-24x^2=0	$6 x^{4} - 24 x^{2} = 0$
51362	Solve by Factoring	7-7x=(3x+2)(x-1)	$7 - 7 x = (3 x + 2) (x - 1)$
51363	Determine if f is the Inverse Function of h	f=((2,3),(4,5),(7,6)) , h=((3,2),(5,4),(7,7))	$f = ((2, 3), (4, 5), (7, 6))$ , $h = ((3, 2), (5, 4), (7, 7))$
51364	Solve by Factoring	7-3x=x-4(2+x)	$7 - 3 x = x - 4 (2 + x)$
51365	Expand Using the Binomial Theorem	(s+t)^3	${(s + t)}^{3}$
51366	Solve by Factoring	7x^2=21x	$7 x^{2} = 21 x$
51367	Expand Using the Binomial Theorem	(m+p)^5	${(m + p)}^{5}$
51368	Solve by Factoring	6x+15=6(x-3)	$6 x + 15 = 6 (x - 3)$
51369	Solve by Factoring	5x^2+9x-72=0	$5 x^{2} + 9 x - 72 = 0$
51370	Solve by Factoring	5x^2+10x=0	$5 x^{2} + 10 x = 0$
51371	Expand Using the Binomial Theorem	(e+2a+q)^2	${(e + 2 a + q)}^{2}$
51372	Expand Using the Binomial Theorem	(a+5b^2)^4	${(a + 5 b^{2})}^{4}$
51373	Solve by Factoring	5x^2-10x=0	$5 x^{2} - 10 x = 0$
51374	Solve by Factoring	5x^4-45x^2=0	$5 x^{4} - 45 x^{2} = 0$
51375	Expand Using the Binomial Theorem	(a-6b)^3	${(a - 6 b)}^{3}$
51376	Solve by Factoring	5x^3+10x^2+5x=0	$5 x^{3} + 10 x^{2} + 5 x = 0$
51377	Expand Using the Binomial Theorem	(a-3b)^6	${(a - 3 b)}^{6}$
51378	Solve by Factoring	4 = square root of m-8	$4 = \sqrt{m} - 8$
51379	Solve by Factoring	3x^2+10x=8	$3 x^{2} + 10 x = 8$
51380	Solve by Factoring	3x^3+16=x^2+48x	$3 x^{3} + 16 = x^{2} + 48 x$
51381	Expand Using the Binomial Theorem	(x^2+4y)^4	${(x^{2} + 4 y)}^{4}$
51382	Solve by Factoring	3x^2-10x-8=0	$3 x^{2} - 10 x - 8 = 0$
51383	Expand Using the Binomial Theorem	(x^2-12)^2	${(x^{2} - 12)}^{2}$
51384	Solve by Factoring	3x^2-2x=8	$3 x^{2} - 2 x = 8$
51385	Solve by Factoring	3k^2+72=33k	$3 k^{2} + 72 = 33 k$
51386	Expand Using the Binomial Theorem	(x+1/x)^5	${(x + \frac{1}{x})}^{5}$
51387	Solve by Factoring	4x^2-16=0	$4 x^{2} - 16 = 0$
51388	Solve by Factoring	4k^(4/3)-17k^(2/3)+4=0	$4 k^{\frac{4}{3}} - 17 k^{\frac{2}{3}} + 4 = 0$
51389	Solve by Factoring	4(x-3)^(1/2)=8	$4 {(x - 3)}^{\frac{1}{2}} = 8$
51390	Expand Using the Binomial Theorem	(x-7)^4	${(x - 7)}^{4}$
51391	Solve by Factoring	4(x+1)=4x+4	$4 (x + 1) = 4 x + 4$
51392	Expand Using the Binomial Theorem	(x-2y)^8	${(x - 2 y)}^{8}$
51393	Solve by Factoring	36x^2-25=0	$36 x^{2} - 25 = 0$
51394	Expand Using the Binomial Theorem	(X-3)^11	${(X - 3)}^{11}$
51395	Solve by Factoring	3x = square root of 5+4x	$3 x = \sqrt{5 + 4 x}$
51396	Expand Using the Binomial Theorem	(x-3)^12	${(x - 3)}^{12}$
51397	Solve by Factoring	3-x = square root of x^2+15	$3 - x = \sqrt{x^{2} + 15}$
51398	Expand Using the Binomial Theorem	(x-4y)^3	${(x - 4 y)}^{3}$
51399	Solve by Factoring	3x+7=14+3x	$3 x + 7 = 14 + 3 x$
51400	Expand Using the Binomial Theorem	(y-4)^4	${(y - 4)}^{4}$