Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
61101	Simplify	(x^2+2x-3)/(x^2-9)	$\frac{x^{2} + 2 x - 3}{x^{2} - 9}$
61102	Find All Complex Solutions	square root of 8-7x=x	$\sqrt{8 - 7 x} = x$
61103	Simplify	( fourth root of 3)/( fourth root of 6)	$\frac{\sqrt[4]{3}}{\sqrt[4]{6}}$
61104	Find All Complex Solutions	square root of 8x+17=2x-1	$\sqrt{8 x + 17} = 2 x - 1$
61105	Simplify	( fifth root of t^2)/( sixth root of t^2)	$\frac{\sqrt[5]{t^{2}}}{\sqrt[6]{t^{2}}}$
61106	Find All Complex Solutions	square root of x-1=x-3	$\sqrt{x - 1} = x - 3$
61107	Find All Complex Solutions	\|x^2-2x\|=24	$\| x^{2} - 2 x \| = 24$
61108	Multiply	18*18	$18 \cdot 18$
61109	Find All Complex Solutions	\|x+3\|=12	$\| x + 3 \| = 12$
61110	Find All Complex Solutions	\|x+3\|=7x-4	$\| x + 3 \| = 7 x - 4$
61111	Multiply	18*2	$18 \cdot 2$
61112	Find All Complex Solutions	\|x-1\|=5x+2	$\| x - 1 \| = 5 x + 2$
61113	Multiply	square root of 10* square root of 14	$\sqrt{10} \cdot \sqrt{14}$
61114	Find All Complex Solutions	0=-3x^2-4x+5	$0 = - 3 x^{2} - 4 x + 5$
61115	Simplify	( square root of 2a-5)(7 square root of 2a-5)	$(\sqrt{2 a} - 5) (7 \sqrt{2 a} - 5)$
61116	Find All Complex Solutions	121x^-4-483x^-2-4=0	$121 x^{- 4} - 483 x^{- 2} - 4 = 0$
61117	Simplify	( square root of x+3 square root of 2)( square root of x-3 square root of 2)	$(\sqrt{x} + 3 \sqrt{2}) (\sqrt{x} - 3 \sqrt{2})$
61118	Find All Complex Solutions	2(6x^2+5x)=12	$2 (6 x^{2} + 5 x) = 12$
61119	Simplify	( square root of x+3 square root of 3)( square root of x-3 square root of 3)	$(\sqrt{x} + 3 \sqrt{3}) (\sqrt{x} - 3 \sqrt{3})$
61120	Find All Complex Solutions	2(x+5)^2=18	$2 {(x + 5)}^{2} = 18$
61121	Simplify	(5 square root of x- square root of 2)(5 square root of x+ square root of 2)	$(5 \sqrt{x} - \sqrt{2}) (5 \sqrt{x} + \sqrt{2})$
61122	Find All Complex Solutions	2cos(x)+ square root of 3=0	$2 \cos (x) + \sqrt{3} = 0$
61123	Find All Complex Solutions	2sin(x)- square root of 2=0	$2 \sin (x) - \sqrt{2} = 0$
61124	Simplify	(2 square root of x+5)^2	${(2 \sqrt{x} + 5)}^{2}$
61125	Simplify	(10 square root of x)^2	${(10 \sqrt{x})}^{2}$
61126	Find All Complex Solutions	3(x+10)+6=3(x+12)	$3 (x + 10) + 6 = 3 (x + 12)$
61127	Simplify	(3+ square root of 18)/(4 square root of 12)	$\frac{3 + \sqrt{18}}{4 \sqrt{12}}$
61128	Simplify	( cube root of x)^12	${(\sqrt[3]{x})}^{12}$
61129	Simplify	(m^2-7m-11)/(m-8)	$\frac{m^{2} - 7 m - 11}{m - 8}$
61130	Find All Complex Solutions	34x^2+1=6x	$34 x^{2} + 1 = 6 x$
61131	Find All Complex Solutions	36x^2-12x+1=4	$36 x^{2} - 12 x + 1 = 4$
61132	Find All Complex Solutions	3r^2+4r+8=0	$3 r^{2} + 4 r + 8 = 0$
61133	Find All Complex Solutions	3x^2-11x-4=0	$3 x^{2} - 11 x - 4 = 0$
61134	Multiply	( square root of 2+1)( square root of 2-1)	$(\sqrt{2} + 1) (\sqrt{2} - 1)$
61135	Find All Complex Solutions	3x^3-2x^2-15x+10=0	$3 x^{3} - 2 x^{2} - 15 x + 10 = 0$
61136	Multiply	( square root of 6+4i)( square root of 6-4i)	$(\sqrt{6} + 4 i) (\sqrt{6} - 4 i)$
61137	Find All Complex Solutions	3x-10(x+2) = square root of 13-7x	$3 x - 10 (x + 2) = \sqrt{13} - 7 x$
61138	Multiply	( square root of 6- square root of 5)( square root of 6+ square root of 5)	$(\sqrt{6} - \sqrt{5}) (\sqrt{6} + \sqrt{5})$
61139	Find All Complex Solutions	4 square root of x+2=-16	$4 \sqrt{x + 2} = - 16$
61140	Find All Complex Solutions	4\|x+1/3\|=20	$4 \| x + \frac{1}{3} \| = 20$
61141	Multiply	( square root of 7+i)( square root of 7-i)	$(\sqrt{7} + i) (\sqrt{7} - i)$
61142	Find All Complex Solutions	-4cos(x)=-sin(x)^2+1	$- 4 \cos (x) = - \sin^{2} (x) + 1$
61143	Find All Complex Solutions	-4x^2+3x-4=0	$- 4 x^{2} + 3 x - 4 = 0$
61144	Multiply	(-3+2i square root of 5)(8-3i square root of 5)	$(- 3 + 2 i \sqrt{5}) (8 - 3 i \sqrt{5})$
61145	Find All Complex Solutions	-4x^2-2x-1=0	$- 4 x^{2} - 2 x - 1 = 0$
61146	Find All Complex Solutions	4x^2-7x+8=0	$4 x^{2} - 7 x + 8 = 0$
61147	Multiply	(1+ square root of 6)(5- square root of 7)	$(1 + \sqrt{6}) (5 - \sqrt{7})$
61148	Find All Complex Solutions	4x^3-27x^2-11x-1=0	$4 x^{3} - 27 x^{2} - 11 x - 1 = 0$
61149	Multiply	( square root of x+8)( square root of x-8)	$(\sqrt{x} + 8) (\sqrt{x} - 8)$
61150	Find All Complex Solutions	5x^2+10=2x	$5 x^{2} + 10 = 2 x$
61151	Find All Complex Solutions	5x^2+20=16x	$5 x^{2} + 20 = 16 x$
61152	Multiply	(x^2+x+6)(x-6)	$(x^{2} + x + 6) (x - 6)$
61153	Find All Complex Solutions	6x^4+x^3-5=0	$6 x^{4} + x^{3} - 5 = 0$
61154	Multiply	(7x-2)^2	${(7 x - 2)}^{2}$
61155	Find All Complex Solutions	7r^2+4r+8=0	$7 r^{2} + 4 r + 8 = 0$
61156	Find All Complex Solutions	7x^2-28x-60=0	$7 x^{2} - 28 x - 60 = 0$
61157	Multiply	(a+b)^2	${(a + b)}^{2}$
61158	Find All Complex Solutions	89x^2+1=16x	$89 x^{2} + 1 = 16 x$
61159	Multiply	(2x-7y)^2	${(2 x - 7 y)}^{2}$
61160	Find All Complex Solutions	-8x^2+6x-3=0	$- 8 x^{2} + 6 x - 3 = 0$
61161	Multiply	(x-3)(x+7)	$(x - 3) (x + 7)$
61162	Multiply	(x-2)(x-5)	$(x - 2) (x - 5)$
61163	Multiply	(x+3)(x-1)	$(x + 3) (x - 1)$
61164	Find All Complex Solutions	8x^3-10x^2-7x-1=0	$8 x^{3} - 10 x^{2} - 7 x - 1 = 0$
61165	Multiply	(x+7)(x+8)	$(x + 7) (x + 8)$
61166	Find All Complex Solutions	x^2+10x=-89	$x^{2} + 10 x = - 89$
61167	Multiply	(4+3i)(4-3i)	$(4 + 3 i) (4 - 3 i)$
61168	Find All Complex Solutions	x^2+4x=2x-7	$x^{2} + 4 x = 2 x - 7$
61169	Multiply	(8-3 square root of 2)(8+3 square root of 2)	$(8 - 3 \sqrt{2}) (8 + 3 \sqrt{2})$
61170	Find All Complex Solutions	x^2+7=0	$x^{2} + 7 = 0$
61171	Multiply	(6+4 cube root of 4)(3+6 cube root of 36)	$(6 + 4 \sqrt[3]{4}) (3 + 6 \sqrt[3]{36})$
61172	Find All Complex Solutions	x^2+8x-1=19	$x^{2} + 8 x - 1 = 19$
61173	Find All Complex Solutions	x^2-18x+145=0	$x^{2} - 18 x + 145 = 0$
61174	Graph	2x+5y>=10	$2 x + 5 y \geq 10$
61175	Find All Complex Solutions	x^2-22x+121=100	$x^{2} - 22 x + 121 = 100$
61176	Factor	f(x)=3x^3-5x^2-12x+20	$f (x) = 3 x^{3} - 5 x^{2} - 12 x + 20$
61177	Add	2/(a^2b^3)+-2/(ab)	$\frac{2}{a^{2} b^{3}} + \frac{- 2}{a b}$
61178	Find All Complex Solutions	x^2-4x+4=2x-1-x^2	$x^{2} - 4 x + 4 = 2 x - 1 - x^{2}$
61179	Find All Complex Solutions	x^2-4x+85=0	$x^{2} - 4 x + 85 = 0$
61180	Simplify	(4x^2y^3)/(4y^3x^2)	$\frac{4 x^{2} y^{3}}{4 y^{3} x^{2}}$
61181	Find All Complex Solutions	x^2-6x=15	$x^{2} - 6 x = 15$
61182	Simplify	3/x+1/(xyz)+2/(xy)	$\frac{3}{x} + \frac{1}{x y z} + \frac{2}{x y}$
61183	Find All Complex Solutions	x^3+x^2-17x+15=0	$x^{3} + x^{2} - 17 x + 15 = 0$
61184	Find All Complex Solutions	x^3-x^2-17x-15=0	$x^{3} - x^{2} - 17 x - 15 = 0$
61185	Find All Complex Solutions	x^4+11x^3+24x^2-23x+35=0	$x^{4} + 11 x^{3} + 24 x^{2} - 23 x + 35 = 0$
61186	Find All Complex Solutions	x^4=64	$x^{4} = 64$
61187	Find All Complex Solutions	x^4-4x^3+20x^2-100x-125=0	$x^{4} - 4 x^{3} + 20 x^{2} - 100 x - 125 = 0$
61188	Find All Complex Solutions	x=1+- square root of 5	$x = 1 + - \sqrt{5}$
61189	Find All Complex Solutions	y^3-125=0	$y^{3} - 125 = 0$
61190	Use the Rational Roots Test to Find All Possible Roots	h(x)=4x^4+9x^3+2x-6	$h (x) = 4 x^{4} + 9 x^{3} + 2 x - 6$
61191	Use the Rational Roots Test to Find All Possible Roots	n(t)=25t^3-75t^2+49t+13	$n (t) = 25 t^{3} - 75 t^{2} + 49 t + 13$
61192	Divide	x/(x-3)	$\frac{x}{x - 3}$
61193	Use the Rational Roots Test to Find All Possible Roots	n(t)=25t^3-85t^2+67t+17	$n (t) = 25 t^{3} - 85 t^{2} + 67 t + 17$
61194	Simplify	12^-312^1012^0	$12^{- 3} \cdot 12^{10} \cdot 12^{0}$
61195	Use the Rational Roots Test to Find All Possible Roots	p(x)=5x^2+19x-4	$p (x) = 5 x^{2} + 19 x - 4$
61196	Divide	(x^2+8x+16)/(x^2-2x-24)	$\frac{x^{2} + 8 x + 16}{x^{2} - 2 x - 24}$
61197	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3-11x^2-29x+39	$f (x) = x^{3} - 11 x^{2} - 29 x + 39$
61198	Simplify	(p^6q^(3/2))^(1/3)	${(p^{6} q^{\frac{3}{2}})}^{\frac{1}{3}}$
61199	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+7x^2-137x-143	$f (x) = x^{3} + 7 x^{2} - 137 x - 143$
61200	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+7x^2-16x-22	$f (x) = x^{3} + 7 x^{2} - 16 x - 22$