(1-1/3)x(1-1/6)x(1-1/15)x...x(1-1/1225)
(1/3-1)x(1/6-1)x(1/10-1)x(1/15-1)x...x(1/1225-1)x(1/1275-1)
Ai trả lời nhanh và đúng mk cho người đó like
\(\left(1-\dfrac{1}{3}\right)x\left(1-\dfrac{1}{6}\right)x\left(1-\dfrac{1}{15}\right)x.....x\left(1-\dfrac{1}{1225}\right)xa=1\\\)
tìm a ghi chú(\(x\)) = nhân
P=P=(1-1/3)x(1-1/6)x(1-1/10)x...x(1-1/1225)x(1-1/1275)
\(P=\left(1-\dfrac{1}{3}\right)\left(1-\dfrac{1}{6}\right)\left(1-\dfrac{1}{10}\right)...\left(1-\dfrac{1}{1225}\right)\left(1-\dfrac{1}{1275}\right)\)
\(=\dfrac{2}{3}.\dfrac{5}{6}.\dfrac{9}{10}...\dfrac{1224}{1225}.\dfrac{1274}{1275}\)
\(=\dfrac{2.2}{3.2}.\dfrac{5.2}{6.2}.\dfrac{9.2}{10.2}...\dfrac{1224.2}{1225.2}.\dfrac{1274.2}{1275.2}\)
\(=\dfrac{4}{9}.\dfrac{10}{12}.\dfrac{18}{20}...\dfrac{2448}{2450}.\dfrac{2548}{2550}\)
\(=\dfrac{1.4}{2.3}.\dfrac{2.5}{3.4}.\dfrac{3.6}{4.5}...\dfrac{48.51}{49.50}.\dfrac{49.52}{50.51}\)
\(=\dfrac{1.2.3...48.49}{2.3.4...49.50}.\dfrac{4.5.6...51.52}{3.4.5...50.51}\)
\(=\dfrac{1}{50}.\dfrac{52}{3}\)
\(=\dfrac{26}{75}\).
tìm số nguyên x biết
a, 2x+1/3=x-5/2 b, 4(x-2) ^2/3=12
25/30=2x+3/6 -7/x+1=6/x+27
a: =>2x-x=-5/2-1/3
=>x=-17/6
b: =>4(x-2)2=36
=>(x-2)2=9
=>x-2=3 hoặc x-2=-3
hay x=5 hoặc x=-1
c: =>2x+1/2=5/6
=>2x=1/3
hay x=1/6
a: =>2x-x=-5/2-1/3
=>x=-17/6
b: =>4(x-2)2=36
=>(x-2)2=9
=>x-2=3 hoặc x-2=-3
hay x=5 hoặc x=-1
c: =>2x+1/2=5/6
=>2x=1/3
hay x=1/6
Bài 1 : Tìm x biết:
a)1 + 3 + 5 + ... (2x - 1) = 1225
b)(x + 1 ) + ( x + 2 ) + ... + (x + 100)
c)( 5 -x ) + ( 10 - x ) + (15 - x ) + ... + ( 80 - x) + ( 85 - x)=102
Đag cần gấp , ai lm tk 2 tk nhắ!Mơn
a, (2.x-1)+(2.x-2) + (2.x-3) + ........+(2.x-200) = 5+10+15+.......+1000
b, 1+3+5+7+......+ (2x-1) =1225
1 + 3 + 5 + .................. + ( 2 x X - 1 ) = 1225
BT1:
1) 1 + 2 + 3 +..... + X = 1225
2) 2 + 4 + 6 +........ + 2X = 210
1) 1 + 2 + 3 + ... + x = 1225
=> (1 + x).x:2 = 1225
=> (1 + x).x = 1225.2
=> (1 + x).x = 2450
=> (1 + x).x = 50.49 = (-49).(-50)
Vậy \(x\in\left\{50;-49\right\}\)
2) 2 + 4 + 6 + ... + 2x = 210
=> 2.(1 + 2 + 3 + ... + x) = 210
=> 2.(1 + x).x:2 = 210
=> (1 + x).x = 15.14 = (-14).(-15)
Vậy \(x\in\left\{15;-14\right\}\)
a)
\(1+2+......+x=1225\)
\(\Rightarrow\frac{\left(x+1\right)x}{2}=1225\)
\(\Rightarrow\left(x+1\right)x=2450\)
\(\Rightarrow\left(x+1\right)x=49.50\)
=> x = 49
Vậy x = 49
b)
\(2+4+....+2x=210\)
\(\Rightarrow2\left(1+2+....+x\right)=210\)
\(\Rightarrow2.\frac{\left(x+1\right)x}{2}=210\)
\(\Rightarrow x\left(x+1\right)=210\)
\(\Rightarrow x\left(x+1\right)=210\)
\(\Rightarrow x\left(x+1\right)=14.15\)
=> x = 14
Vậy x = 14
1) 1 + 2 + 3 +..... + X = 1225
Đặt A= 1 + 2 + 3 +..... + X
Tổng A có số số hạng theo x là:
\(\left(x-1\right):1+1=x\) (số)
Tổng A theo x là:
\(\left(x+1\right)\cdot x:2=\frac{x^2+x}{2}\)
Thay A vào ta đc:
\(\frac{x^2+x}{2}=1225\)\(\Leftrightarrow x^2+x-2450=0\)
\(\Leftrightarrow x^2-49x+50x-2450=0\)
\(\Leftrightarrow x\left(x-49\right)+50\left(x-49\right)=0\)
\(\Leftrightarrow\left(x-49\right)\left(x+50\right)=0\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}x=49\left(tm\right)\\x=-50\left(loai\right)\end{array}\right.\)
2)Đặt B= 2 + 4 + 6 +........ + 2X
Tổng B có số số hạng theo x là:
\(\left(2x-2\right):2+1=x\) (số)
Tổng B theo x là:
\(\left(2x+2\right)\cdot x:2=x^2+x\)
Thay B vào ta dc:
\(x^2+x=210\)\(\Leftrightarrow x^2+x-210=0\)
\(\Leftrightarrow x^2-14x+15x-210=0\)
\(\Leftrightarrow x\left(x-14\right)+15\left(x-14\right)=0\)
\(\Leftrightarrow\left(x+15\right)\left(x-14\right)=0\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}x=14\left(tm\right)\\x=-15\left(loai\right)\end{array}\right.\)
tìm x biết (x - 1) + (x - 2) + (x - 3) + ⋯ + (x - 50) = 1225
(x - 1) + (x - 2) + (x - 3) + ⋯ + (x - 50) = 1225
x-1+x-2+x-3+....+x-50=1225
50x-(1+2+3+...+50)=1225
50x-1275=1225
50x=1225+1275
50x=2500
x=2500:50
x=50
(x-1)+(x-2)+...+(x-50)=1225
(x+x+x+...+x)-(1+2+3+4+...+50)=1225
(x*50)-1275=1225
x*50=1225+1275
x=2500:50
x=50