3^4 . 2^2 + 2^3 ( x - 25 ) = 604
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\(3^4.2^2+2^3.\left(x-25\right)=604\)
\(\Rightarrow81.4+8.\left(x-25\right)=604\)
\(\Rightarrow8.\left(x-25\right)=604-81.4\)
\(\Rightarrow8\left(x-25\right)=604-324\)
\(\Rightarrow8\left(x-25\right)=280\)
\(\Rightarrow x-25=280:8\)
\(\Rightarrow x-25=35\)
\(\Rightarrow x=35+25\)
\(\Rightarrow x=60\)
\(3^4.2^2+2^3\left(x-25\right)=604\)
\(324+2^3\left(x-25\right)=604\)
\(2^3\left(x-25\right)=604-324\)
\(2^3\left(x-25\right)=280\)
\(\left(x-25\right)=280:2^3\)
\(\left(x-25\right)=35\)
\(x=35+25\)
\(x=60\)
1 - 2 - 3 + 4 + 5 - 6 - 7 + ...+ 601 - 603 + 604
= (1 - 2 - 3 + 4) + (5- 6 - 7 + 8) + ... + (601 - 602 - 603 + 604)
= 0 + 0 + ... + 0
= 0
P/s : Đề bạn viết thiếu 602 nhé
1-2 - 3 + 4 + 5 -6 - 7 +8 +...+601 - 602 -60 3 +604
= -4 + 4 +- 8 + 8 +..........+-604+604
=0
(l ikr cho mình nhe)
\(=( 1 - 2 - 3 + 4 ) + ( 5 - 6 - 7 + 8 ) + ....+ ( 601 - 602 - 603 + 604 ) = 0 + 0 + .. + 0 = 0 \)
=4+1-2-3+8+5-6-7+...+604+601-602-603
=5-(2+3)+13-(6+7)+...+1205-(602+603)
=0+0+...+0
=0
a) \(\left(-396\right)+2016+189+\left(-604\right)-109\)
\(=-396+2016+189-604-109\)
\(=-\left(396-2016\right)+189-604-109\)
\(=-\left(-1620\right)+189-604-109\)
\(=1620+189-604-109\)
\(=1809-604-109\)
\(=1205-109\)
\(=1096\)
b) \(10-\left|x+3\right|=-8-10\)
\(\Leftrightarrow10-\left|x+3\right|=-\left(8+10\right)\)
\(\Leftrightarrow10-\left|x+3\right|=-18\)
\(\Leftrightarrow\left|x+3\right|=10-\left(-18\right)\)
\(\Leftrightarrow\left|x+3\right|=10+18\)
\(\Leftrightarrow\left|x+3\right|=28\)
Xét trường hợp 1: \(x+3=28\)
\(\Rightarrow x=28-3\)
\(\Rightarrow x=25\)
Xét trường hợp 2: \(x+3=-28\)
\(\Rightarrow x=-28-3\)
\(\Rightarrow x=-\left(28+3\right)\)
\(\Rightarrow x=-31\)
Vậy \(x=25\) hoặc \(x=-31\)
B=5+52+53+54+...+560
=(5+52)+(53+54)+...+(559+560)
=5(1+5)+53(1+5)+...+559(1+5)
=(5+53+...+559)(5+1)
=(5+53+...+559)6 chia hết cho 6
=>đpcm
3^4.2^2+2^3.(x-25)=604
81.4+8.(x-25)=604
324+8.(x-25)=604
8.(x-25)=604-324
8.(x-25)=280
x-25=280:8
x-25=35
x=35+25
x=70
Vậy x=70
\(3^4.2^2+2^3\left(x-25\right)=604\)
\(324+2^3\left(x-25\right)=604\)
\(2^3\left(x-25\right)=604-324\)
\(2^3\left(x-25\right)=280\)
\(\left(x-25\right)=280:2^3\)
\(\left(x-25\right)=35\)
\(x=35+25\)
\(x=60\)