Mathway | Problemas populares

Problemas populares

Classificação	Tópico	Problema	Problema formatado
207001	Determina se é um polinómio	- raiz quadrada de 2	$- \sqrt{2}$
207002	Simplifique a Expressão Radical	-4 raiz quadrada de 3+ raiz quadrada de 3	$- 4 \sqrt{3} + \sqrt{3}$
207003	Fatoriza por Agrupamento	x^4-3x^3-x^2+3x	$x^{4} - 3 x^{3} - x^{2} + 3 x$
207004	Simplifique	(3x)/(x-6)+(6x)/(4x-24)	$\frac{3 x}{x - 6} + \frac{6 x}{4 x - 24}$
207005	Löse die Absolutwert-Ungleichung nach w auf	\|5w+8\|=\|5w+7\|	$\| 5 w + 8 \| = \| 5 w + 7 \|$
207006	Escreva como um Logaritmo Único	2 base do logaritmo b de u+3 base do logaritmo b de v-1/2 base do logaritmo b de w	$2 \log_{b} (u) + 3 \log_{b} (v) - \frac{1}{2} \log_{b} (w)$
207007	Simplifique	(x+2)/3+4x	$\frac{x + 2}{3} + 4 x$
207008	Löse nach x auf	1=(3+x)^(1/2)	$1 = {(3 + x)}^{\frac{1}{2}}$
207009	Simplifique	(3x-1)(4x+3)(x-1)	$(3 x - 1) (4 x + 3) (x - 1)$
207010	Determina o valor exato	cos(pi/4)-cos(pi/4)	$\cos (\frac{π}{4}) - \cos (\frac{π}{4})$
207011	Avalie Usando o Valor Fornecido	x+5 if x=4	$x + 5$ if $x = 4$
207012	Simplifique	3-(2x-(1-(x+y))+(x-2y))	$3 - (2 x - (1 - (x + y)) + (x - 2 y))$
207013	Simplifique	raiz quadrada de 6x^4*5 raiz quadrada de 8x^5	$\sqrt{6 x^{4}} \cdot 5 \sqrt{8 x^{5}}$
207014	Avalia	1/( base do logaritmo 2 de 30)+1/( base do logaritmo 3 de 30)+1/( base do logaritmo 5 de 30)	$\frac{1}{\log_{2} (30)} + \frac{1}{\log_{3} (30)} + \frac{1}{\log_{5} (30)}$
207015	Löse nach x auf	4(x-2)^2+320=0	$4 {(x - 2)}^{2} + 320 = 0$
207016	Simplifique a Expressão Radical	raiz quadrada de 2^4	$\sqrt{2^{4}}$
207017	Determina as raízes (zeros)	x^4-5x^3+3x^2+x	$x^{4} - 5 x^{3} + 3 x^{2} + x$
207018	Löse die rationale Gleichung nach X auf	3 raiz quadrada de X=5	$3 \sqrt{X} = 5$
207019	Simplifique	(x^0y^2)/((xy^4)^-3)	$\frac{x^{0} y^{2}}{{(x y^{4})}^{- 3}}$
207020	Determina as raízes (zeros)	raiz quadrada de x^2=3	$\sqrt{x^{2}} = 3$
207021	Löse die Ungleichung nach r auf	(\|3+r\|)/7<=5	$\frac{\| 3 + r \|}{7} \leq 5$
207022	Representa a função num gráfico cartesiano	f(x)=-x^6+x^5-5x^4-x^3+3x^2-x	$f (x) = - x^{6} + x^{5} - 5 x^{4} - x^{3} + 3 x^{2} - x$
207023	Identifica os zeros e as suas multiplicidades	f(x)=-x^4-9x^3-24x^2-16x	$f (x) = - x^{4} - 9 x^{3} - 24 x^{2} - 16 x$
207024	Löse nach x auf	1/4(x-2)=3/5x+1/2	$\frac{1}{4} (x - 2) = \frac{3}{5} x + \frac{1}{2}$
207025	Löse nach r auf	5r-11s=k	$5 r - 11 s = k$
207026	Determina a expressão algébrica da função quadrática	x=-1/2y^2-4y-7	$x = - \frac{1}{2} y^{2} - 4 y - 7$
207027	Löse nach x auf	5/(x-3)+8/(3x+5)=2/(4x-12)	$\frac{5}{x - 3} + \frac{8}{3 x + 5} = \frac{2}{4 x - 12}$
207028	Escreve na Forma de um Radical	(125)^(-1/3)	${(125)}^{\frac{- 1}{3}}$
207029	Encontre os Interceptos em x e y	f(x)=x^3-4x^2+x+6	$f (x) = x^{3} - 4 x^{2} + x + 6$
207030	Löse das System von Equations	y=x-5 2x+y=-2	$y = x - 5$ $2 x + y = - 2$
207031	Fatorizar	kn-mn-n^2+mk	$k n - m n - n^{2} + m k$
207032	Simplifique	(4x+3/4)+(-3x-5/12)	$(4 x + \frac{3}{4}) + (- 3 x - \frac{5}{12})$
207033	Simplifique	(-3)(-1/5x)(-25)	$(- 3) (- \frac{1}{5} x) (- 25)$
207034	Simplifique	x^0+y^0+z^0	$x^{0} + y^{0} + z^{0}$
207035	Löse nach r auf	raiz cúbica de 7r+2 = raiz cúbica de 9r-24	$\sqrt[3]{7 r + 2} = \sqrt[3]{9 r - 24}$
207036	Löse nach t auf	2cos(3t)=-1	$2 \cos (3 t) = - 1$
207037	Löse nach x auf	x-3=2x-3-x	$x - 3 = 2 x - 3 - x$
207038	Multiplique	4 raiz quadrada de 310 raiz quadrada de 12 raiz quadrada de 6* raiz quadrada de 2	$4 \sqrt{3} \cdot 10 \sqrt{12} \cdot \sqrt{6} \cdot \sqrt{2}$
207039	Fatorizar	-1/2(32x-40)+(20x-4)	$- \frac{1}{2} (32 x - 40) + (20 x - 4)$
207040	Simplifique	( raiz quadrada de 8- raiz quadrada de 3)/( raiz quadrada de 6-2)	$\frac{\sqrt{8} - \sqrt{3}}{\sqrt{6} - 2}$
207041	Simplifique	raiz cúbica de (x^2)/(9y)	$\sqrt[3]{\frac{x^{2}}{9 y}}$
207042	Löse nach x auf	(12+2x)/2=13	$\frac{12 + 2 x}{2} = 13$
207043	Resolva Fatorando	10x^2+15x-9=2x^2+x-14	$10 x^{2} + 15 x - 9 = 2 x^{2} + x - 14$
207044	Simplifique	(x^(3/2)y^(-1/4))/(x^(3/4)y^(3/4))	$\frac{x^{\frac{3}{2}} y^{- \frac{1}{4}}}{x^{\frac{3}{4}} y^{\frac{3}{4}}}$
207045	Simplifique a Expressão Radical	-1/(3 raiz quadrada de 2)	$- \frac{1}{3 \sqrt{2}}$
207046	Löse die Ungleichung nach m auf	-7/8<=m-13/8	$- \frac{7}{8} \leq m - \frac{13}{8}$
207047	Löse nach x auf	64=4*4^(4x)	$64 = 4 \cdot 4^{4 x}$
207048	Simplifique	subtract -9x-7 from 8x^2-5x+9	subtract $- 9 x - 7$ from $8 x^{2} - 5 x + 9$
207049	Simplifique	(1-sin(theta)^2)(1+tan(theta)^2)	$(1 - \sin^{2} (θ)) (1 + \tan^{2} (θ))$
207050	Löse nach x auf	e^(-6x)=(e^8)^(x+14)	$e^{- 6 x} = {(e^{8})}^{x + 14}$
207051	Racionalize o Denominador	raiz quíntupla de (5m^7)/(16m^2)	$\sqrt[5]{\frac{5 m^{7}}{16 m^{2}}}$
207052	Löse nach x auf	2(x^2-12x-4)^(1/2)-3=15	$2 {(x^{2} - 12 x - 4)}^{\frac{1}{2}} - 3 = 15$
207053	Simplifique	(8xy^3*2x^3y^4)/((-7x^3y)^2-x^6y^2)	$\frac{8 x y^{3} \cdot 2 x^{3} y^{4}}{{(- 7 x^{3} y)}^{2} - x^{6} y^{2}}$
207054	Simplifique	-(16^0x^9y^3)/(96x^4y^5)	$- \frac{16^{0} x^{9} y^{3}}{96 x^{4} y^{5}}$
207055	Avalia	2/1-1^2	$\frac{2}{1} - 1^{2}$
207056	Simplifique	(5/7x-1/3y)(5/7x+1/3y)	$(\frac{5}{7} x - \frac{1}{3} y) (\frac{5}{7} x + \frac{1}{3} y)$
207057	Divide utilizando a Divisão Inteira Polinomial	Use the long division method to find the result when 6x^3+11x^2+9x+2 is divided by 3x+1	Use the long division method to find the result when $6 x^{3} + 11 x^{2} + 9 x + 2$ is divided by $3 x + 1$
207058	Simplifique	-2+6.45z-6+(-3.25z)	$- 2 + 6.45 z - 6 + (- 3.25 z)$
207059	Simplifique	( raiz quadrada de a^5)/( raiz cúbica de a^2)	$\frac{\sqrt{a^{5}}}{\sqrt[3]{a^{2}}}$
207060	Löse nach H auf	w=Q/(H-Q)	$w = \frac{Q}{H - Q}$
207061	Avalia	8-4*3(-2)^3	$8 - 4 \cdot 3 {(- 2)}^{3}$
207062	Determina as raízes (zeros)	x^4-5x^3+x^2+3x=0	$x^{4} - 5 x^{3} + x^{2} + 3 x = 0$
207063	Löse die Ungleichung nach x auf	1/3(x-6)>2	$\frac{1}{3} (x - 6) > 2$
207064	Simplifique	1/(-2/3)	$\frac{1}{- \frac{2}{3}}$
207065	Simplifique	4n(2n^3p^2-3np^2+5n)+4p(6n^2p-2np^2+3p)	$4 n (2 n^{3} p^{2} - 3 n p^{2} + 5 n) + 4 p (6 n^{2} p - 2 n p^{2} + 3 p)$
207066	Löse nach x auf	4x^(6/5)-16x^(4/5)=0	$4 x^{\frac{6}{5}} - 16 x^{\frac{4}{5}} = 0$
207067	Escreva na Forma Exponencial	raiz quadrada de x^3 raiz cúbica de y	$\sqrt{x^{3}} \sqrt[3]{y}$
207068	Determina a equação com um ponto e declive conhecidos	What is the equation of the line that passes through the point (-1,6) and has a slope of 1 ?	What is the equation of the line that passes through the point $(- 1, 6)$ and has a slope of $1$ ?
207069	Determina o valor exato	arcsin(cos(-pi/4))	$\arcsin (\cos (- \frac{π}{4}))$
207070	Determina a expressão da função inversa	f(x)=1/2(x+3)^2-4	$f (x) = \frac{1}{2} {(x + 3)}^{2} - 4$
207071	Simplifique	x+5<=-4	$x + 5 \leq - 4$
207072	Avalia	5/8+(3/4)÷(-2/3)-5/6	$\frac{5}{8} + \frac{3}{4} \div \frac{- 2}{3} - \frac{5}{6}$
207073	Simplifique	(3c^2d(2c^3d^5))/(15c^4d^2)	$\frac{3 c^{2} d (2 c^{3} d^{5})}{15 c^{4} d^{2}}$
207074	Escreva a Fração na Forma Mais Simples	(4 raiz quarta de y^5)^(1/2)	${(4 \sqrt[4]{y^{5}})}^{\frac{1}{2}}$
207075	Löse nach x auf	raiz quadrada de 3x-3 = raiz quadrada de x+12	$\sqrt{3 x - 3} = \sqrt{x + 12}$
207076	Escreva na Forma Exponencial	raiz quarta da raiz quíntupla de x	$\sqrt[4]{\sqrt[5]{x}}$
207077	Simplifique a Expressão Radical	(2^(2/3)*16^(2/3))/(4^(2/3))	$\frac{2^{\frac{2}{3}} \cdot 16^{\frac{2}{3}}}{4^{\frac{2}{3}}}$
207078	Löse die Ungleichung nach t auf	24<=-6t	$24 \leq - 6 t$
207079	Subtraia	(6y^2+8y^4-5y)-(9y^4-7y+2y^2)	$(6 y^{2} + 8 y^{4} - 5 y) - (9 y^{4} - 7 y + 2 y^{2})$
207080	Simplifique a Expressão Radical	( raiz quadrada de 40x^5)/( raiz quadrada de 10x)	$\frac{\sqrt{40 x^{5}}}{\sqrt{10 x}}$
207081	Simplifique	20+13x-5+5x+9	$20 + 13 x - 5 + 5 x + 9$
207082	Simplifique	3/4x+9(1/4x+2)	$\frac{3}{4} x + 9 (\frac{1}{4} x + 2)$
207083	Löse die rationale Gleichung nach x auf	raiz quadrada de 11-x = raiz quadrada de x-7	$\sqrt{11 - x} = \sqrt{x - 7}$
207084	Simplifique	x-9/(x-3)-3	$x - \frac{9}{x - 3} - 3$
207085	Löse nach x auf	2^x=2^(2x)-12	$2^{x} = 2^{2 x} - 12$
207086	Simplifique	3x+2x^2-4x+3x^2-5x	$3 x + 2 x^{2} - 4 x + 3 x^{2} - 5 x$
207087	Avalia	3^( base do logaritmo 3 de 5- base do logaritmo 3 de 4)	$3^{\log_{3} (5) - \log_{3} (4)}$
207088	Simplifique a Expressão Radical	raiz cúbica da raiz quadrada de 100	$\sqrt[3]{\sqrt{100}}$
207089	Simplifique	(1/4x-3)+(3/16x+5)	$(\frac{1}{4} x - 3) + (\frac{3}{16} x + 5)$
207090	Resolva Usando a Fórmula Quadrática	4(5x+9)^2-17=7	$4 {(5 x + 9)}^{2} - 17 = 7$
207091	Representa a função num gráfico cartesiano	y<=1/2x+2 y>=5x	$y \leq \frac{1}{2} x + 2$ $y \geq 5 x$
207092	Determina o m.m.c.	x^5-x , x^5-x^2 , x^5-x^3	$x^{5} - x$ , $x^{5} - x^{2}$ , $x^{5} - x^{3}$
207093	Converta em uma Fração Simplificada	((3^5)^2)/(3^-2)	$\frac{{(3^{5})}^{2}}{3^{- 2}}$
207094	Simplifique	((2v)/(x^4))(-(4x^4)/(v^6))	$(\frac{2 v}{x^{4}}) (- \frac{4 x^{4}}{v^{6}})$
207095	Avalia	x^(1/2)*x^(1/2)	$x^{\frac{1}{2}} \cdot x^{\frac{1}{2}}$
207096	Simplifique	2a^(1/m)*4^ma^(5+m)	$2 a^{\frac{1}{m}} \cdot 4^{m} a^{5 + m}$
207097	Löse nach x auf	F=kx-kx_0 for x	$F = k x - k x_{0}$ for $x$
207098	Determina o valor exato	tan(450 graus )	$\tan (450 °)$
207099	Simplifique	(5/4+( raiz quadrada de 5)/2i)^2	${(\frac{5}{4} + \frac{\sqrt{5}}{2} i)}^{2}$
207100	Löse nach x auf	15(x-1)=-5(3-x)+10x	$15 (x - 1) = - 5 (3 - x) + 10 x$