Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
61101	Find All Complex Solutions	(6-2x)(3-2x)x=40	$(6 - 2 x) (3 - 2 x) x = 40$
61102	Simplify	(x^2-9)/(x^2+5x+6)	$\frac{x^{2} - 9}{x^{2} + 5 x + 6}$
61103	Find All Complex Solutions	(x-4)^2=36	${(x - 4)}^{2} = 36$
61104	Simplify	(x^2-5x-14)/(x^2+4x+4)	$\frac{x^{2} - 5 x - 14}{x^{2} + 4 x + 4}$
61105	Simplify	(x^-1-y^-1)/(x^-2-y^-2)	$\frac{x^{- 1} - y^{- 1}}{x^{- 2} - y^{- 2}}$
61106	Find All Complex Solutions	(x-2)^(1/2)=(28-2x)^(1/4)	${(x - 2)}^{\frac{1}{2}} = {(28 - 2 x)}^{\frac{1}{4}}$
61107	Find All Complex Solutions	(x-2)^(3/2)=125	${(x - 2)}^{\frac{3}{2}} = 125$
61108	Find All Complex Solutions	(x-5)(6x+36)=0	$(x - 5) (6 x + 36) = 0$
61109	Simplify	(x^-2-y^-2)/(x^-1-y^-1)	$\frac{x^{- 2} - y^{- 2}}{x^{- 1} - y^{- 1}}$
61110	Find All Complex Solutions	(x-5)^2=25	${(x - 5)}^{2} = 25$
61111	Find All Complex Solutions	square root of 63-2x=x	$\sqrt{63 - 2 x} = x$
61112	Simplify	(x^2+2x-3)/(x^2-9)	$\frac{x^{2} + 2 x - 3}{x^{2} - 9}$
61113	Find All Complex Solutions	square root of 8-7x=x	$\sqrt{8 - 7 x} = x$
61114	Simplify	( fourth root of 3)/( fourth root of 6)	$\frac{\sqrt[4]{3}}{\sqrt[4]{6}}$
61115	Find All Complex Solutions	square root of 8x+17=2x-1	$\sqrt{8 x + 17} = 2 x - 1$
61116	Simplify	( fifth root of t^2)/( sixth root of t^2)	$\frac{\sqrt[5]{t^{2}}}{\sqrt[6]{t^{2}}}$
61117	Find All Complex Solutions	square root of x-1=x-3	$\sqrt{x - 1} = x - 3$
61118	Find All Complex Solutions	\|x^2-2x\|=24	$\| x^{2} - 2 x \| = 24$
61119	Multiply	18*18	$18 \cdot 18$
61120	Find All Complex Solutions	\|x+3\|=12	$\| x + 3 \| = 12$
61121	Find All Complex Solutions	\|x+3\|=7x-4	$\| x + 3 \| = 7 x - 4$
61122	Multiply	18*2	$18 \cdot 2$
61123	Find All Complex Solutions	\|x-1\|=5x+2	$\| x - 1 \| = 5 x + 2$
61124	Multiply	square root of 10* square root of 14	$\sqrt{10} \cdot \sqrt{14}$
61125	Find All Complex Solutions	0=-3x^2-4x+5	$0 = - 3 x^{2} - 4 x + 5$
61126	Simplify	( square root of 2a-5)(7 square root of 2a-5)	$(\sqrt{2 a} - 5) (7 \sqrt{2 a} - 5)$
61127	Find All Complex Solutions	121x^-4-483x^-2-4=0	$121 x^{- 4} - 483 x^{- 2} - 4 = 0$
61128	Simplify	( square root of x+3 square root of 2)( square root of x-3 square root of 2)	$(\sqrt{x} + 3 \sqrt{2}) (\sqrt{x} - 3 \sqrt{2})$
61129	Find All Complex Solutions	2(6x^2+5x)=12	$2 (6 x^{2} + 5 x) = 12$
61130	Simplify	( square root of x+3 square root of 3)( square root of x-3 square root of 3)	$(\sqrt{x} + 3 \sqrt{3}) (\sqrt{x} - 3 \sqrt{3})$
61131	Find All Complex Solutions	2(x+5)^2=18	$2 {(x + 5)}^{2} = 18$
61132	Simplify	(5 square root of x- square root of 2)(5 square root of x+ square root of 2)	$(5 \sqrt{x} - \sqrt{2}) (5 \sqrt{x} + \sqrt{2})$
61133	Find All Complex Solutions	2cos(x)+ square root of 3=0	$2 \cos (x) + \sqrt{3} = 0$
61134	Find All Complex Solutions	2sin(x)- square root of 2=0	$2 \sin (x) - \sqrt{2} = 0$
61135	Simplify	(2 square root of x+5)^2	${(2 \sqrt{x} + 5)}^{2}$
61136	Simplify	(10 square root of x)^2	${(10 \sqrt{x})}^{2}$
61137	Find All Complex Solutions	3(x+10)+6=3(x+12)	$3 (x + 10) + 6 = 3 (x + 12)$
61138	Simplify	(3+ square root of 18)/(4 square root of 12)	$\frac{3 + \sqrt{18}}{4 \sqrt{12}}$
61139	Simplify	( cube root of x)^12	${(\sqrt[3]{x})}^{12}$
61140	Simplify	(m^2-7m-11)/(m-8)	$\frac{m^{2} - 7 m - 11}{m - 8}$
61141	Find All Complex Solutions	34x^2+1=6x	$34 x^{2} + 1 = 6 x$
61142	Find All Complex Solutions	36x^2-12x+1=4	$36 x^{2} - 12 x + 1 = 4$
61143	Find All Complex Solutions	3r^2+4r+8=0	$3 r^{2} + 4 r + 8 = 0$
61144	Find All Complex Solutions	3x^2-11x-4=0	$3 x^{2} - 11 x - 4 = 0$
61145	Multiply	( square root of 2+1)( square root of 2-1)	$(\sqrt{2} + 1) (\sqrt{2} - 1)$
61146	Find All Complex Solutions	3x^3-2x^2-15x+10=0	$3 x^{3} - 2 x^{2} - 15 x + 10 = 0$
61147	Multiply	( square root of 6+4i)( square root of 6-4i)	$(\sqrt{6} + 4 i) (\sqrt{6} - 4 i)$
61148	Find All Complex Solutions	3x-10(x+2) = square root of 13-7x	$3 x - 10 (x + 2) = \sqrt{13} - 7 x$
61149	Multiply	( square root of 6- square root of 5)( square root of 6+ square root of 5)	$(\sqrt{6} - \sqrt{5}) (\sqrt{6} + \sqrt{5})$
61150	Find All Complex Solutions	4 square root of x+2=-16	$4 \sqrt{x + 2} = - 16$
61151	Find All Complex Solutions	4\|x+1/3\|=20	$4 \| x + \frac{1}{3} \| = 20$
61152	Multiply	( square root of 7+i)( square root of 7-i)	$(\sqrt{7} + i) (\sqrt{7} - i)$
61153	Find All Complex Solutions	-4cos(x)=-sin(x)^2+1	$- 4 \cos (x) = - \sin^{2} (x) + 1$
61154	Find All Complex Solutions	-4x^2+3x-4=0	$- 4 x^{2} + 3 x - 4 = 0$
61155	Multiply	(-3+2i square root of 5)(8-3i square root of 5)	$(- 3 + 2 i \sqrt{5}) (8 - 3 i \sqrt{5})$
61156	Find All Complex Solutions	-4x^2-2x-1=0	$- 4 x^{2} - 2 x - 1 = 0$
61157	Find All Complex Solutions	4x^2-7x+8=0	$4 x^{2} - 7 x + 8 = 0$
61158	Multiply	(1+ square root of 6)(5- square root of 7)	$(1 + \sqrt{6}) (5 - \sqrt{7})$
61159	Find All Complex Solutions	4x^3-27x^2-11x-1=0	$4 x^{3} - 27 x^{2} - 11 x - 1 = 0$
61160	Multiply	( square root of x+8)( square root of x-8)	$(\sqrt{x} + 8) (\sqrt{x} - 8)$
61161	Find All Complex Solutions	5x^2+10=2x	$5 x^{2} + 10 = 2 x$
61162	Find All Complex Solutions	5x^2+20=16x	$5 x^{2} + 20 = 16 x$
61163	Multiply	(x^2+x+6)(x-6)	$(x^{2} + x + 6) (x - 6)$
61164	Find All Complex Solutions	6x^4+x^3-5=0	$6 x^{4} + x^{3} - 5 = 0$
61165	Multiply	(7x-2)^2	${(7 x - 2)}^{2}$
61166	Find All Complex Solutions	7r^2+4r+8=0	$7 r^{2} + 4 r + 8 = 0$
61167	Find All Complex Solutions	7x^2-28x-60=0	$7 x^{2} - 28 x - 60 = 0$
61168	Multiply	(a+b)^2	${(a + b)}^{2}$
61169	Find All Complex Solutions	89x^2+1=16x	$89 x^{2} + 1 = 16 x$
61170	Multiply	(2x-7y)^2	${(2 x - 7 y)}^{2}$
61171	Find All Complex Solutions	-8x^2+6x-3=0	$- 8 x^{2} + 6 x - 3 = 0$
61172	Multiply	(x-3)(x+7)	$(x - 3) (x + 7)$
61173	Multiply	(x-2)(x-5)	$(x - 2) (x - 5)$
61174	Multiply	(x+3)(x-1)	$(x + 3) (x - 1)$
61175	Find All Complex Solutions	8x^3-10x^2-7x-1=0	$8 x^{3} - 10 x^{2} - 7 x - 1 = 0$
61176	Multiply	(x+7)(x+8)	$(x + 7) (x + 8)$
61177	Find All Complex Solutions	x^2+10x=-89	$x^{2} + 10 x = - 89$
61178	Multiply	(4+3i)(4-3i)	$(4 + 3 i) (4 - 3 i)$
61179	Find All Complex Solutions	x^2+4x=2x-7	$x^{2} + 4 x = 2 x - 7$
61180	Multiply	(8-3 square root of 2)(8+3 square root of 2)	$(8 - 3 \sqrt{2}) (8 + 3 \sqrt{2})$
61181	Find All Complex Solutions	x^2+7=0	$x^{2} + 7 = 0$
61182	Multiply	(6+4 cube root of 4)(3+6 cube root of 36)	$(6 + 4 \sqrt[3]{4}) (3 + 6 \sqrt[3]{36})$
61183	Find All Complex Solutions	x^2+8x-1=19	$x^{2} + 8 x - 1 = 19$
61184	Find All Complex Solutions	x^2-18x+145=0	$x^{2} - 18 x + 145 = 0$
61185	Graph	2x+5y>=10	$2 x + 5 y \geq 10$
61186	Find All Complex Solutions	x^2-22x+121=100	$x^{2} - 22 x + 121 = 100$
61187	Factor	f(x)=3x^3-5x^2-12x+20	$f (x) = 3 x^{3} - 5 x^{2} - 12 x + 20$
61188	Add	2/(a^2b^3)+-2/(ab)	$\frac{2}{a^{2} b^{3}} + \frac{- 2}{a b}$
61189	Find All Complex Solutions	x^2-4x+4=2x-1-x^2	$x^{2} - 4 x + 4 = 2 x - 1 - x^{2}$
61190	Find All Complex Solutions	x^2-4x+85=0	$x^{2} - 4 x + 85 = 0$
61191	Simplify	(4x^2y^3)/(4y^3x^2)	$\frac{4 x^{2} y^{3}}{4 y^{3} x^{2}}$
61192	Find All Complex Solutions	x^2-6x=15	$x^{2} - 6 x = 15$
61193	Simplify	3/x+1/(xyz)+2/(xy)	$\frac{3}{x} + \frac{1}{x y z} + \frac{2}{x y}$
61194	Find All Complex Solutions	x^3+x^2-17x+15=0	$x^{3} + x^{2} - 17 x + 15 = 0$
61195	Find All Complex Solutions	x^3-x^2-17x-15=0	$x^{3} - x^{2} - 17 x - 15 = 0$
61196	Find All Complex Solutions	x^4+11x^3+24x^2-23x+35=0	$x^{4} + 11 x^{3} + 24 x^{2} - 23 x + 35 = 0$
61197	Find All Complex Solutions	x^4=64	$x^{4} = 64$
61198	Find All Complex Solutions	x^4-4x^3+20x^2-100x-125=0	$x^{4} - 4 x^{3} + 20 x^{2} - 100 x - 125 = 0$
61199	Find All Complex Solutions	x=1+- square root of 5	$x = 1 + - \sqrt{5}$
61200	Find All Complex Solutions	y^3-125=0	$y^{3} - 125 = 0$