1/Tìm x :
a) x10 = 25.x8
b)( 2x + 32 ) =\(\frac{9}{121}\)
2/ Chứng minh rằng : 106 - 57 chia hết cho 59
3/ Rút gọn : \(\frac{8^{20}+4^{20}}{4^{25}+64^5}\)
Tìm x
(x+4/2014)+(x+3/2015)=(x+2/2016)+(x+1/2017)
Tìm x biết : \(\dfrac{x+4}{2014}\)+\(\dfrac{x+3}{2015}=\dfrac{x+2}{2016}+\dfrac{x+1}{2017}\)
x-1/2017 + x-2/2016 = x-3/2015 + x-4/2014
Bài 1 : Rút gọn
\(M=\dfrac{1^{2016}+2^{2016}+3^{2016}+...+10^{2016}}{2^{2016}+4^{2016}+6^{2016}+...+20^{2016}}\)
Bài 2 : Tính
\(N=\left(\dfrac{1}{4.9}+\dfrac{1}{9.14}+\dfrac{1}{14.19}+...+\dfrac{1}{44.49}\right).\dfrac{1-3-5-7-...-9}{89}\)
\(P=\dfrac{2^{12}.3^5-4^6.9^2}{\left(2^2.3\right)^6-8^4.3^5}-\dfrac{5^{10}.7^3-25^5.7^3-25^5.49^2}{\left(125.7\right)^3+5^9.14^3}\)
Bài 3: Rút gọn
a) A = |2x + 4,6| - 2x + 15,4
b) B = |x + 7,2| - |x - 1,2|
c) C = 8,5x - 19, 5 - |1,5x + 4,5|
d) D = 8,5 + x - |8,5 - x|
Bài 4 : Tìm x và y \(\in\) N.Biết 25 - y2 = 8(x - 2009)2
Bài 5 ; Cho :
\(A=\left(\dfrac{1}{2^2}-1\right)\left(\dfrac{1}{3^2}-1\right)\left(\dfrac{1}{4^2}-1\right)...\left(\dfrac{1}{100^2}-1\right)\)
So sánh phân số sau vs \(\dfrac{-1}{2}\)
x-1/2012+x-2/2013 +x-3/2014=x-4/2015+x-5/2016+x-6/2017
x+5/2012+x+4/2013+x+3/2014=x+2/2015+x+1/2016+x/2017
Tìm x,biết:
\(\frac{x+4}{2014}+\frac{x+3}{2015}=\frac{x+2}{2016}+\frac{x+1}{2017}\)
Tìm x biết:
\(\frac{x-1}{2017}+\frac{x-2}{2016}-\frac{x-3}{2015}=\frac{x-4}{2014}\)