(1+1/2)x(1+1/3)x...(1+1/2005)
Tìm x,y biết
a,\(\left(2^3\right)^{1^{2005}}\cdot x+2005^0\cdot x=994-15:3+1^{2025}\)
b,\(2^x+2^{x+1}+2^{x+2}+2^{x+3}=480\)
c,\(2024^{|x-1|+y^2-1}\cdot3^{2024}=9^{1012}\)
a, 2\(^3\) . x + 2005\(^0\) . x = 994-15:3+1\(^{2025}\)
8 .x + 1 . x = 990
x . [ 8 +1 ] = 990
x . 9 = 990
x = 990 : 9
x = 110
tìm x,y biết
a,\(\left(2^3\right)^{1^{2005}}\cdot x+2005^0\cdot x=9915:3+1^{2025}\)
b,\(2^x+2^{x+1}+2^{x+2}+2^{x+3}=480\)
c,\(2024^{\left|x-1\right|=y^2-1}\cdot3^{2024}=9^{1012}\)
a: \(\left(2^3\right)^{1^{2005}}\cdot x+2005^0\cdot x=9915:3+1^{2025}\)
=>\(8\cdot x+1\cdot x=3305+1\)
=>\(9x=3306\)
=>\(x=\dfrac{3306}{9}=\dfrac{1102}{3}\)
b: \(2^x+2^{x+1}+2^{x+2}+2^{x+3}=480\)
=>\(2^x+2^x\cdot2+2^x\cdot4+2^x\cdot8=480\)
=>\(2^x\left(1+2+4+8\right)=480\)
=>\(2^x\cdot15=480\)
=>\(2^x=32\)
=>\(2^x=2^5\)
=>x+5
giai cac phuong trinh sau :
a, 1/x^2+5x+4+1/x^2+11x+28+1/x^2+17x+70=3/6x-2005
b, x+1/x-1+x-2/x+2+x-3/x+3+x+4/x-4=4
c, 1/4x-2006+1/5x+2004=1/15x-2007-1.6x-2005
d, 4x+16/x+6-3/x+1=5/x+3+7/x+5
(1+1/2) x (1+1/3) x ..... x ( 1 x 1/2005)
3 4 2006
_x _x ......x____=2006/2=1003
2 3 2005
(1+1/2)x (1+1/3)x....x(1+1/2005)
(1 - 1/5 ) x (1 - 2/5) x (1 x 3/5) ... (1 x 2005/5)
A = ( 1 - \(\dfrac{1}{5}\)).(1 - \(\dfrac{2}{5}\)).(1 - \(\dfrac{3}{5}\))...(1 - \(\dfrac{2005}{5}\))
A = (1- \(\dfrac{1}{5}\)).(1 - \(\dfrac{2}{5}\)).(1-\(\dfrac{3}{5}\)).(1 - \(\dfrac{4}{5}\)).(1 - \(\dfrac{5}{5}\))....(1 - \(\dfrac{2005}{5}\))
A = (1 - \(\dfrac{1}{5}\)).(1- \(\dfrac{2}{5}\)).(1- \(\dfrac{3}{5}\)).(1- \(\dfrac{4}{5}\)).(1-1)....(1- \(\dfrac{2005}{5}\))
A = (1- \(\dfrac{1}{5}\)).....0...(1- \(\dfrac{2005}{5}\))
A =0
a) tính nhanh
( 1 + \(\dfrac{1}{2}\) ) x ( 1 + \(\dfrac{1}{3}\) ) x ..... x ( 1 + \(\dfrac{1}{2005}\) )
b) tính bằng cách thuận tiện
\(\dfrac{2}{3}\) x \(\dfrac{1}{2}\) + \(\dfrac{1}{3}\) x \(\dfrac{1}{2}\)
a)\(=\left(\dfrac{2}{2}+\dfrac{1}{2}\right)\times\left(\dfrac{3}{3}+\dfrac{1}{3}\right)\times...\times\left(\dfrac{2005}{2005}+\dfrac{1}{2005}\right)\)
\(=\dfrac{3}{2}\times\dfrac{4}{3}\times...\times\dfrac{2006}{2005}=\dfrac{2006}{2}=1003\)
b)\(=\left(\dfrac{2}{3}+\dfrac{1}{3}\right)\times\dfrac{1}{2}=\dfrac{3}{3}\times\dfrac{1}{2}=\dfrac{1}{2}\)
b)
\(\dfrac{1}{2}x\left(\dfrac{2}{3}+\dfrac{1}{3}\right)=\dfrac{1}{2}x1=\dfrac{1}{2}\)
bài 1 : tính hợp lí:
a) 2/8 nhân 51 1/5 - 27 1/5 nhân 3/8 + 19 ( 51 1/5 và 27 1/5 là hỗn số )
c) 2006 x 2005 + 1 / 2004 x 2006 + 2005
bài 2 : tìm x :
5 nhân x + 1 1/2 = 3 nhân x = 7 1/2 ( 1 1/2 và 7 1/2 là hỗn số )
tim x 1+1/3+1/6+1/10+...+2/x(x+1)=1 va 2003/2005