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(X-1)+(X-2)+(X-3)+...+(X-100)=4950
=>(X+X+...+X)-(1+2+3+...+100)=4950
=>100X-[(100+1).100:2]=4950
=>100X-[101.100:2]=4950
=>100X-[10100:2]=4950
=>100X-5050=4950
=>100X=4950+5050
=>100X=10000
=>X=10000:100
=>X=100
a, | x+3 | = -27/11 × 22/-9
=> |x + 3| = 6
=> x + 3 = 6 hoặc x + 3 = -6
=> x = 3 hoặc x = -9
vậy_
b, (x-3) × (2x - 7) = 0
=> x - 3 = 0 hoặc 2x - 7 = 0
=> x = 3 hoặc x = 7/2
vậy_
c, (x-1) + (x-2) + (x-3) + ... + (x-100) = 4950
=> x - 1 + x - 2 + x - 3 + ... + x - 100 = 4950
=> 100x - (1 + 2 + 3 + ... + 100) = 4950
=> 100x - (1 + 100).100 : 2 = 4950
=> 100x - 5050 = 4950
=> 100x = 10000
=> x = 10
\(\left(x-1\right)+\left(x-2\right)+\left(x-3\right)+...+\left(x-100\right)=4950\\ \Leftrightarrow100x-\left(1+2+3+...+100\right)=4950\\ \Leftrightarrow100x-\frac{\left(100+1\right)100}{2}=4950\\ \Leftrightarrow100x-5050=4950\\ \Rightarrow100x=-100\\ \Rightarrow x=-1\)
tìm x biết
( x-1) + ( x-2) + (x-3) +....+ (x-100) = 4950
⇔\(\left(x+x+x+....+x\right)-\left(1+2+3+....+100\right)=4950\)
⇔\(\left(x.100\right)-\left(1+100\right).100:2=4950\)
⇔\(\left(x.100\right)-5050=4950\)
⇔\(100x=4950+5050\)
⇔\(100x=10000\)
⇔ \(x=100\)
cau b ta co9;(x+x+.....+x)-(1+2+....+100)=4950
100x - 5050 =4950
100x =4950+5050
100x =10000
x=10000 ;100
x=100
ta có 1+5+9+13+...+\(x\)=4950
\(\Rightarrow\) \(\frac{(x+1).x}{2}=4950\)
\(\Rightarrow\) \(x.(x+1)=9900\)
\(\Rightarrow\)\(x=99\)
Vậy x=99
chúc bạn học tốt
\(\left(x-1\right)+\left(x-2\right)+....+\left(x-100\right)=4950\)
\(\Leftrightarrow\left(x+x+....+x\right)+\left(1+2+...+100\right)=4950\)
\(\Leftrightarrow100x-\frac{\left(100+1\right)\left[\left(100-1\right):1+1\right]}{2}=4950\)
\(\Leftrightarrow100x-5050=4950\)
\(\Leftrightarrow x=100\)
Vậy ...
100x-(1+2+3+....+100)=4950
100x-5050=4950
100x=10000
x=100