Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
21001	Find the Roots (Zeros)	f(x)=(3x+1)/(2x-5)	$f (x) = \frac{3 x + 1}{2 x - 5}$
21002	Find the Roots (Zeros)	f(x)=dx^2+ex+f	$f (x) = d x^{2} + e x + f$
21003	Find the Roots (Zeros)	f(x)=e^1.5	$f (x) = e^{1.5}$
21004	Find the Roots (Zeros)	f(x)=x^2(x-2)(x-1)	$f (x) = x^{2} (x - 2) (x - 1)$
21005	Find the Roots (Zeros)	f(x)=x^2-5	$f (x) = x^{2} - 5$
21006	Find the Roots (Zeros)	f(x)=x^2-6	$f (x) = x^{2} - 6$
21007	Find the Roots (Zeros)	f(x)=x^3+5x^2-22x+16	$f (x) = x^{3} + 5 x^{2} - 22 x + 16$
21008	Find the Roots (Zeros)	f(x)=x^4+10x^3-12x^2-10x+11	$f (x) = x^{4} + 10 x^{3} - 12 x^{2} - 10 x + 11$
21009	Find the Roots (Zeros)	f(x)=-10x-8+x(-4x+9)	$f (x) = - 10 x - 8 + x (- 4 x + 9)$
21010	Find the Roots (Zeros)	f(x)=192(16)^x	$f (x) = 192 {(16)}^{x}$
21011	Find the Roots (Zeros)	f(x)=2x^2-12	$f (x) = 2 x^{2} - 12$
21012	Find the Roots (Zeros)	f(x)=25e+2pe	$f (x) = 25 e + 2 p e$
21013	Find the Roots (Zeros)	f(x)=2-5xf*5	$f (x) = 2 - 5 x f \cdot 5$
21014	Find the Roots (Zeros)	f(x)=3(x-2)^2-48	$f (x) = 3 {(x - 2)}^{2} - 48$
21015	Find the Roots (Zeros)	f(x)=3(x-8)^2-27	$f (x) = 3 {(x - 8)}^{2} - 27$
21016	Find the Roots (Zeros)	f(x)=3x^2-6	$f (x) = 3 x^{2} - 6$
21017	Find the Roots (Zeros)	f(x)=3sin(3x)	$f (x) = 3 \sin (3 x)$
21018	Find the Roots (Zeros)	f(x)=(3x(dy))/(dx)	$f (x) = \frac{3 x (d y)}{d x}$
21019	Find the Roots (Zeros)	f(x)=3x-4+2x^2	$f (x) = 3 x - 4 + 2 x^{2}$
21020	Find the Roots (Zeros)	f(x)=75*4-48	$f (x) = 75 \cdot 4 - 48$
21021	Find the Roots (Zeros)	f(x)=85-3x	$f (x) = 85 - 3 x$
21022	Find the Roots (Zeros)	g(x)=x^2+2xg(3)+g(7)	$g (x) = x^{2} + 2 x g (3) + g (7)$
21023	Find the Roots (Zeros)	g(x)=-3x^2+15x-5	$g (x) = - 3 x^{2} + 15 x - 5$
21024	Find the Roots (Zeros)	h(x)=x^2+7	$h (x) = x^{2} + 7$
21025	Find the Roots (Zeros)	k(t)=13t-2	$k (t) = 13 t - 2$
21026	Find the Roots (Zeros)	P(x)=37(5)^(-18/6)	$P (x) = 37 {(5)}^{\frac{- 18}{6}}$
21027	Find the Roots (Zeros)	v(t)=48t^2	$v (t) = 48 t^{2}$
21028	Find the Roots (Zeros)	y=x^2+3	$y = x^{2} + 3$
21029	Find the Roots (Zeros)	y=3x^2	$y = 3 x^{2}$
21030	Find the Roots (Zeros)	(x^2-2)=49	$(x^{2} - 2) = 49$
21031	Find the Roots (Zeros)	((-x-1+4i)/(1+2i-ix))i(2-i)+1=4i-x(1-(-x-1+4i)/(1+2i-ix)i)	$(\frac{- x - 1 + 4 i}{1 + 2 i - i x}) i (2 - i) + 1 = 4 i - x (1 - \frac{- x - 1 + 4 i}{1 + 2 i - i x} i)$
21032	Find the Roots (Zeros)	(1+x)^2(1+0.5x)=1.2705	${(1 + x)}^{2} (1 + 0.5 x) = 1.2705$
21033	Find the Roots (Zeros)	(2m+10)^2+(3m)^2=(5m)^2	${(2 m + 10)}^{2} + {(3 m)}^{2} = {(5 m)}^{2}$
21034	Find the Roots (Zeros)	(3x+1)^2(3x-2)^3=0	${(3 x + 1)}^{2} {(3 x - 2)}^{3} = 0$
21035	Find the Roots (Zeros)	(x+5)^2-12(x+5)+32=0	${(x + 5)}^{2} - 12 (x + 5) + 32 = 0$
21036	Find the Roots (Zeros)	(-x^2)/((1+4x)^2)=5/4	$\frac{- x^{2}}{{(1 + 4 x)}^{2}} = \frac{5}{4}$
21037	Find the Roots (Zeros)	1/3*(9-2x)=x+1	$\frac{1}{3} \cdot (9 - 2 x) = x + 1$
21038	Find the Roots (Zeros)	1/60+1/90=1/x	$\frac{1}{60} + \frac{1}{90} = \frac{1}{x}$
21039	Find the Roots (Zeros)	2/(11x)+1/4=81/(2x)-1/3	$\frac{2}{11 x} + \frac{1}{4} = \frac{81}{2 x} - \frac{1}{3}$
21040	Find the Roots (Zeros)	3/(x-3)+3=15/(x-3)	$\frac{3}{x - 3} + 3 = \frac{15}{x - 3}$
21041	Find the Roots (Zeros)	4/x=4x	$\frac{4}{x} = 4 x$
21042	Find the Roots (Zeros)	4^x+7*2^x=44	$4^{x} + 7 \cdot 2^{x} = 44$
21043	Find the Roots (Zeros)	(4t)/4 = log of 1.02	$\frac{4 t}{4} = \log (1.02)$
21044	Find the Roots (Zeros)	8^(-1/3)	$8^{- \frac{1}{3}}$
21045	Find the Roots (Zeros)	c^2=9+25	$c^{2} = 9 + 25$
21046	Find the Roots (Zeros)	n^2 = square root of 10^5	$n^{2} = \sqrt{10^{5}}$
21047	Find the Roots (Zeros)	p^4-16=0	$p^{4} - 16 = 0$
21048	Find the Roots (Zeros)	s^3-3s^2+10s=3s^3+30	$s^{3} - 3 s^{2} + 10 s = 3 s^{3} + 30$
21049	Find the Roots (Zeros)	square root of 2x+169- square root of x+1=12	$\sqrt{2 x + 169} - \sqrt{x + 1} = 12$
21050	Find the Roots (Zeros)	square root of 3x+1 = square root of 5x-8	$\sqrt{3 x + 1} = \sqrt{5 x - 8}$
21051	Find the Roots (Zeros)	- square root of 3x-2=4	$- \sqrt{3 x - 2} = 4$
21052	Find the Roots (Zeros)	square root of 7x+1=1+ square root of 5x	$\sqrt{7 x + 1} = 1 + \sqrt{5 x}$
21053	Find the Roots (Zeros)	square root of 9x+27=2x+7	$\sqrt{9 x + 27} = 2 x + 7$
21054	Find the Roots (Zeros)	square root of x-3=4	$\sqrt{x - 3} = 4$
21055	Find the Roots (Zeros)	x^2-18x+56=0	$x^{2} - 18 x + 56 = 0$
21056	Find the Roots (Zeros)	x^2+10x-8=(x-h)^2-33	$x^{2} + 10 x - 8 = {(x - h)}^{2} - 33$
21057	Find the Roots (Zeros)	x^2+4x-5=0	$x^{2} + 4 x - 5 = 0$
21058	Find the Roots (Zeros)	x^2-20=0	$x^{2} - 20 = 0$
21059	Write in Standard Form	(6-5i-6i^2)/(-3-2i)	$\frac{6 - 5 i - 6 i^{2}}{- 3 - 2 i}$
21060	Write in Standard Form	(9+3i)/(9+7i)	$\frac{9 + 3 i}{9 + 7 i}$
21061	Write in Standard Form	(3+3i)/(4+9i)	$\frac{3 + 3 i}{4 + 9 i}$
21062	Write in Standard Form	(4+4i)/(2-9i)	$\frac{4 + 4 i}{2 - 9 i}$
21063	Write in Standard Form	(-5+i)/(-4-5i)	$\frac{- 5 + i}{- 4 - 5 i}$
21064	Write in Standard Form	8+18/(1+2/0.185i)+7/(1+2/9i)+26/(1+2/12i)-0.68/(0.0562)*i	$8 + \frac{18}{1 + \frac{2}{0.185} \cdot i} + \frac{7}{1 + \frac{2}{9} \cdot i} + \frac{26}{1 + \frac{2}{12} \cdot i} - \frac{0.68}{0.056 \cdot 2} \cdot i$
21065	Write in Standard Form	((4i)^2+11)/(3-(4i))	$\frac{{(4 i)}^{2} + 11}{3 - (4 i)}$
21066	Write in Standard Form	((3+6i)^2)/(2i)	$\frac{{(3 + 6 i)}^{2}}{2 i}$
21067	Write in Standard Form	\|x\|=2	$\| x \| = 2$
21068	Write in Standard Form	1/(3-2i)	$\frac{1}{3 - 2 i}$
21069	Write in Standard Form	(1+i)/(1-2i)	$\frac{1 + i}{1 - 2 i}$
21070	Write in Standard Form	(-1-5i)/(7i)	$\frac{- 1 - 5 i}{7 i}$
21071	Write in Standard Form	(3+2i)/(5-i)	$\frac{3 + 2 i}{5 - i}$
21072	Write in Standard Form	(-4+7i)/(-7-2i)	$\frac{- 4 + 7 i}{- 7 - 2 i}$
21073	Write in Standard Form	(5+2i)/(2-3i)	$\frac{5 + 2 i}{2 - 3 i}$
21074	Write in Standard Form	(6+3i)/(7-5i)	$\frac{6 + 3 i}{7 - 5 i}$
21075	Write in Standard Form	(6-5i)/(4+2i)	$\frac{6 - 5 i}{4 + 2 i}$
21076	Write in Standard Form	(6i)/(2i*(3i))	$\frac{6 i}{2 i \cdot (3 i)}$
21077	Cancel the Common Factors	(x^2-2x+1)/(x-1)	$\frac{x^{2} - 2 x + 1}{x - 1}$
21078	Cancel the Common Factors	1/3*(12x-3(x-18)+3)	$\frac{1}{3} \cdot (12 x - 3 (x - 18) + 3)$
21079	Cancel the Common Factors	10/( square root of 320)	$\frac{10}{\sqrt{320}}$
21080	Cancel the Common Factors	(12x^3-18x^2+9x)/(9x)	$\frac{12 x^{3} - 18 x^{2} + 9 x}{9 x}$
21081	Cancel the Common Factors	(1280- square root of -1280-41201500)/240	$\frac{1280 - \sqrt{- 1280 - 4 \cdot 120 \cdot 1500}}{240}$
21082	Cancel the Common Factors	(15 square root of 226)/2	$\frac{15 \sqrt{226}}{2}$
21083	Cancel the Common Factors	(15- square root of 75)/35	$\frac{15 - \sqrt{75}}{35}$
21084	Cancel the Common Factors	(15+30)/(5-20/(x^2))	$\frac{15 + 30}{5 - \frac{20}{x^{2}}}$
21085	Cancel the Common Factors	(2.0310^20N)/(7.3510^22kg)	$\frac{2.03 \cdot (10^{20} N)}{7.35 \cdot (10^{22} kg)}$
21086	Cancel the Common Factors	(-20+ square root of -45)/24	$\frac{- 20 + \sqrt{- 45}}{24}$
21087	Cancel the Common Factors	(-8+ square root of -12)/40	$\frac{- 8 + \sqrt{- 12}}{40}$
21088	Cancel the Common Factors	(-c+2cd+3d^2)/(5c-15d)	$\frac{- c + 2 c d + 3 d^{2}}{5 c - 15 d}$
21089	Cancel the Common Factors	(f(x+h)-f(x))/h	$\frac{f (x + h) - f (x)}{h}$
21090	Cancel the Common Factors	x/( square root of 15- square root of 5)	$\frac{x}{\sqrt{15} - \sqrt{5}}$
21091	Write in Standard Form	(13i)/(3+2i)	$\frac{13 i}{3 + 2 i}$
21092	Reduce	(g(0))/(h(-4))	$\frac{g (0)}{h (- 4)}$
21093	Reduce	pi/f*(x)	$\frac{π}{f} \cdot (x)$
21094	Reduce	( square root of 4/9)÷( square root of 3/5)	$\sqrt{\frac{4}{9}} \div \sqrt{\frac{3}{5}}$
21095	Reduce	x/(x-1)	$\frac{x}{x - 1}$
21096	Reduce	(x+1)/(x^2(6x-5)^2)	$\frac{x + 1}{x^{2} {(6 x - 5)}^{2}}$
21097	Reduce	(x+7)/(2/((5x-1)/8))	$\frac{x + 7}{\frac{2}{\frac{5 x - 1}{8}}}$
21098	Reduce	(x-1)/(x-2)	$\frac{x - 1}{x - 2}$
21099	Reduce	(x-4)/(x^2+6x+8)	$\frac{x - 4}{x^{2} + 6 x + 8}$
21100	Reduce	(1.96( square root of 0.6*0.4))/650	$\frac{1.96 (\sqrt{0.6 \cdot 0.4})}{650}$