Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
126701	Find the Roots/Zeros Using the Rational Roots Test	2x^4-9x^3+17x^2-36x+36=0	$2 x^{4} - 9 x^{3} + 17 x^{2} - 36 x + 36 = 0$
126702	Find the Roots/Zeros Using the Rational Roots Test	3x^3-x^2-21x+7=0	$3 x^{3} - x^{2} - 21 x + 7 = 0$
126703	Find the Roots/Zeros Using the Rational Roots Test	x^3-x^2-10x-8=0	$x^{3} - x^{2} - 10 x - 8 = 0$
126704	Find the Roots/Zeros Using the Rational Roots Test	x^4+9x^3+12x^2-11x+21=0	$x^{4} + 9 x^{3} + 12 x^{2} - 11 x + 21 = 0$
126705	Find the Roots/Zeros Using the Rational Roots Test	10x^4-13x^3-21x^2+10x+8=0	$10 x^{4} - 13 x^{3} - 21 x^{2} + 10 x + 8 = 0$
126706	Complete the Square	n^2+2n	$n^{2} + 2 n$
126707	Complete the Square	-2x^2-4x+5	$- 2 x^{2} - 4 x + 5$
126708	Complete the Square	10x^2+5x-3	$10 x^{2} + 5 x - 3$
126709	Complete the Square	-3x^2-18x-26	$- 3 x^{2} - 18 x - 26$
126710	Complete the Square	x^2-2/9x	$x^{2} - \frac{2}{9} x$
126711	Complete the Square	x^2+14x=6	$x^{2} + 14 x = 6$
126712	Complete the Square	z^2-10z+c	$z^{2} - 10 z + c$
126713	Complete the Square	z^2-8z+	$z^{2} - 8 z +$
126714	Complete the Square	z^2-4z+	$z^{2} - 4 z +$
126715	Complete the Square	3x^2-24x+55	$3 x^{2} - 24 x + 55$
126716	Complete the Square	3x^2-12x+5	$3 x^{2} - 12 x + 5$
126717	Complete the Square	y^2-26y+	$y^{2} - 26 y +$
126718	Complete the Square	m^2-4m+5	$m^{2} - 4 m + 5$
126719	Complete the Square	p^2-12p+c	$p^{2} - 12 p + c$
126720	Complete the Square	w^2+12w	$w^{2} + 12 w$
126721	Complete the Square	x^2+11x=3	$x^{2} + 11 x = 3$
126722	Complete the Square	x^2-12x-5=7	$x^{2} - 12 x - 5 = 7$
126723	Find the Inverse	{(0,3),(4,2),(5,-6)}	${(0, 3), (4, 2), (5, - 6)}$
126724	Find the Inverse	{(1,-3),(-2,3),(5,1),(6,4)}	${(1, - 3), (- 2, 3), (5, 1), (6, 4)}$
126725	Describe the Transformation	g(x)=3(x-4)^2-2	$g (x) = 3 {(x - 4)}^{2} - 2$
126726	Describe the Transformation	h(x)=(-2x)^3	$h (x) = {(- 2 x)}^{3}$
126727	Describe the Transformation	f(x)=1/2x^3	$f (x) = \frac{1}{2} x^{3}$
126728	Describe the Transformation	y=1/2 square root of x-4-2	$y = \frac{1}{2} \sqrt{x - 4} - 2$
126729	Describe the Transformation	y=-1/5*6^x	$y = - \frac{1}{5} \cdot 6^{x}$
126730	Describe the Transformation	y=5/2 square root of x-3-5	$y = \frac{5}{2} \sqrt{x - 3} - 5$
126731	Describe the Transformation	h(x)=-2x-5	$h (x) = - 2 x - 5$
126732	Describe the Transformation	2 square root of -x	$2 \sqrt{- x}$
126733	Describe the Transformation	y=-1/2x^2-2	$y = - \frac{1}{2} x^{2} - 2$
126734	Describe the Transformation	g(x) = square root of 1/2x+1	$g (x) = \sqrt{\frac{1}{2} x} + 1$
126735	Describe the Transformation	y=1/4 square root of x	$y = \frac{1}{4} \sqrt{x}$
126736	Describe the Transformation	y=2 square root of x+7-4	$y = 2 \sqrt{x + 7} - 4$
126737	Describe the Transformation	y=-3\|x\|+1	$y = - 3 \| x \| + 1$
126738	Describe the Transformation	f(x)=x^2 , g(x)=-7x^2	$f (x) = x^{2}$ , $g (x) = - 7 x^{2}$
126739	Describe the Transformation	h(x)=1/2(x+3)^2+2	$h (x) = \frac{1}{2} {(x + 3)}^{2} + 2$
126740	Describe the Transformation	f(x)=- square root of x+3	$f (x) = - \sqrt{x} + 3$
126741	Describe the Transformation	y = cube root of x+4-3	$y = \sqrt[3]{x + 4} - 3$
126742	Describe the Transformation	h(x)=\|x-2\|+1	$h (x) = \| x - 2 \| + 1$
126743	Describe the Transformation	h(x)=3\|x+5\|	$h (x) = 3 \| x + 5 \|$
126744	Describe the Transformation	h(x)=- cube root of x-3	$h (x) = - \sqrt[3]{x - 3}$
126745	Find Where Increasing/Decreasing	y=pi-x^2	$y = π - x^{2}$
126746	Find the Circle Using the Diameter End Points	(2,5) , (0,0)	$(2, 5)$ , $(0, 0)$
126747	Describe the Transformation	g(x)=-\|x-2\|-4	$g (x) = - \| x - 2 \| - 4$
126748	Describe the Transformation	g(x)=3(x-1)^2-6	$g (x) = 3 {(x - 1)}^{2} - 6$
126749	Arrange in Order	2/3 , 3/5 , 5/7	$\frac{2}{3}$ , $\frac{3}{5}$ , $\frac{5}{7}$
126750	Find the Focus	(x-3)^2=-8(y+4)	${(x - 3)}^{2} = - 8 (y + 4)$
126751	Find the Focus	x=-1/5y^2	$x = - \frac{1}{5} y^{2}$
126752	Find the Focus	y^2-4y-x+3=2	$y^{2} - 4 y - x + 3 = 2$
126753	Expand the Trigonometric Expression	(4a-6)^3	${(4 a - 6)}^{3}$
126754	Expand the Trigonometric Expression	(4a-4)^3	${(4 a - 4)}^{3}$
126755	Expand the Trigonometric Expression	3/5(2d+3)	$\frac{3}{5} (2 d + 3)$
126756	Expand the Trigonometric Expression	(y-3)^7	${(y - 3)}^{7}$
126757	Expand the Trigonometric Expression	2(5x+1)	$2 (5 x + 1)$
126758	Expand the Trigonometric Expression	-4t^3(3r+2rt-5t^2)	$- 4 t^{3} (3 r + 2 r t - 5 t^{2})$
126759	Expand the Trigonometric Expression	(a-2b)^6	${(a - 2 b)}^{6}$
126760	Find the Midpoint	(-5/3,2/3) , (-7/3,-8/3)	$(- \frac{5}{3}, \frac{2}{3}) (- \frac{7}{3}, - \frac{8}{3})$
126761	Find the Midpoint	(0,9) , (5,4)	$(0, 9) (5, 4)$
126762	Expand the Trigonometric Expression	c(3a+b)	$c (3 a + b)$
126763	Expand the Trigonometric Expression	-2x(x+xy-3y^2)	$- 2 x (x + x y - 3 y^{2})$
126764	Expand the Trigonometric Expression	2ab^2(3a^2+6a-b^3)	$2 a b^{2} (3 a^{2} + 6 a - b^{3})$
126765	Expand the Trigonometric Expression	(x-4)^7	${(x - 4)}^{7}$
126766	Expand the Trigonometric Expression	(h+3k)^3	${(h + 3 k)}^{3}$
126767	Expand the Trigonometric Expression	(1+2i)^4	${(1 + 2 i)}^{4}$
126768	Expand the Trigonometric Expression	(21x^3+24)^22	${(21 x^{3} + 24)}^{22}$
126769	Find the Focus	16y-16=x^2+8x+16	$16 y - 16 = x^{2} + 8 x + 16$
126770	Find the Focus	-2y^2+x-4y+1=0	$- 2 y^{2} + x - 4 y + 1 = 0$
126771	Find the Focus	x^2-32y=0	$x^{2} - 32 y = 0$
126772	Find the Midpoint	(7,5) , (7,11)	$(7, 5) (7, 11)$
126773	Write with Rational (Fractional) Exponents	seventh root of v^6	$\sqrt[7]{v^{6}}$
126774	Write with Rational (Fractional) Exponents	seventh root of x^3y^2z^2	$\sqrt[7]{x^{3} y^{2} z^{2}}$
126775	Write with Rational (Fractional) Exponents	sixth root of p^5	$\sqrt[6]{p^{5}}$
126776	Write with Rational (Fractional) Exponents	fifth root of 17^4	$\sqrt[5]{17^{4}}$
126777	Write with Rational (Fractional) Exponents	fourth root of 81^5	$\sqrt[4]{81^{5}}$
126778	Write with Rational (Fractional) Exponents	fourth root of 81x^2y^5	$\sqrt[4]{81 x^{2} y^{5}}$
126779	Write with Rational (Fractional) Exponents	fourth root of 625x^2	$\sqrt[4]{625 x^{2}}$
126780	Write with Rational (Fractional) Exponents	ninth root of t square root of t	$\sqrt[9]{t} \sqrt{t}$
126781	Write with Rational (Fractional) Exponents	(4^2)^-8	${(4^{2})}^{- 8}$
126782	Write with Rational (Fractional) Exponents	1/(( fourth root of 5p)^7)	$\frac{1}{{(\sqrt[4]{5 p})}^{7}}$
126783	Write with Rational (Fractional) Exponents	cube root of 6m^2	$\sqrt[3]{6 m^{2}}$
126784	Write with Rational (Fractional) Exponents	cube root of ab^2	$\sqrt[3]{a b^{2}}$
126785	Write with Rational (Fractional) Exponents	(16 root of 2)/( eighth root of 2)	$\frac{\sqrt[16]{2}}{\sqrt[8]{2}}$
126786	Write with Rational (Fractional) Exponents	(16 root of 7)/( eighth root of 7)	$\frac{\sqrt[16]{7}}{\sqrt[8]{7}}$
126787	Write with Rational (Fractional) Exponents	(19 root of 19n)^2	${(\sqrt[19]{19 n})}^{2}$
126788	Write with Rational (Fractional) Exponents	( cube root of 3x)^2	${(\sqrt[3]{3 x})}^{2}$
126789	Write with Rational (Fractional) Exponents	( cube root of 5)^4	${(\sqrt[3]{5})}^{4}$
126790	Write with Rational (Fractional) Exponents	( fourth root of 3)/( square root of 3)	$\frac{\sqrt[4]{3}}{\sqrt[2]{3}}$
126791	Find the Difference Quotient	f(x)=9x^2-8	$f (x) = 9 x^{2} - 8$
126792	Find the Difference Quotient	f(x)=6x^2+4x-3	$f (x) = 6 x^{2} + 4 x - 3$
126793	Find the Difference Quotient	f(x)=6x^2+8x-11	$f (x) = 6 x^{2} + 8 x - 11$
126794	Find the Difference Quotient	f(x)=5x^2-7x+5	$f (x) = 5 x^{2} - 7 x + 5$
126795	Find the Difference Quotient	f(x)=4x^3-6	$f (x) = 4 x^{3} - 6$
126796	Find the Difference Quotient	f(x)=7/(x+3)	$f (x) = \frac{7}{x + 3}$
126797	Find the Difference Quotient	f(x) = square root of x-5x	$f (x) = \sqrt{x} - 5 x$
126798	Find the Difference Quotient	f(x)=5/(x+3)	$f (x) = \frac{5}{x + 3}$
126799	Find the Difference Quotient	f(x)=-x^2+5x+4	$f (x) = - x^{2} + 5 x + 4$
126800	Find the Vertex Form	y=x^2-6x+19	$y = x^{2} - 6 x + 19$