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Áp dụng công thức tính dãy số ta có :
\(\frac{\left[\left(x-1\right):1+1\right].\left(x+1\right)}{2}=1711\) và \(\frac{\left[\left(x-1\right):1+1\right].\left(x+1\right)}{2}=5432\)
\(x.\left(x+1\right)=1711.2\) và \(x.\left(x+1\right)=5432.2\)
\(x\left(x+1\right)=3422=58.59\) và \(x.\left(x+1\right)=10864\)
x = 58 và x không có giá trị thõa mãn
a) 1 + 2 + 3 + ....... + x = 1275
<=> ( x + 1 ) . x : 2 = 1275
( x + 1 ) . x = 1275 .2
( x + 1 ) . x = 2550
( x + 1 ) . x = 51 . 50
( x + 1 ) . x = ( 50 + 1 ) . 50
<=> x = 50
b) ( x + 1 ) +( x + 2 ) +..... +( x + 99 ) = 6138
x + 1 + x + 2 + .........+ x + 99 = 6138
99x + ( 1 + 2 + .......... + 99 ) = 6138
99x + 4950 = 6138
99x = 1188
x = 1188 : 99
x = 12
c) x . 1 + x . 2 + ......... + x . 99 = 495
x. ( 1 + 2 + ...... + 99 ) = 495
x . 4950 = 495
x = 495 : 4950
x = 1/10
cau1 x= 1/2 + 3/4
x= 5 / 4
cau2 x = 8 x 1/4
x= 2
cau 3 x= 5/12 - 1/6
x = 1/4
cau 4 x = 4/5 - 1/10
x = 7/10
cau5 x= 2/5 : 1/3
x= 6/5
cau6 x =2/3 : 2/7
x = 7/3
x +\(\frac{1}{6}\)=\(\frac{1}{3}\)-\(\frac{1}{4}\)
x +\(\frac{1}{6}\)=\(\frac{1}{12}\)
x =\(\frac{1}{12}\)-\(\frac{1}{6}\)
x =\(-\frac{1}{12}\)
x -\(\frac{5}{12}\)=\(\frac{1}{3}+\frac{1}{4}\)
x -\(\frac{5}{12}\)=\(\frac{7}{12}\)
x =\(\frac{7}{12}\)+\(\frac{5}{12}\)
x = 1
x +\(\frac{1}{2}\)=\(\frac{4}{5}\)
x =\(\frac{4}{5}\)-\(\frac{1}{2}\)
x =\(\frac{3}{10}\)
x -\(\frac{1}{6}\)=\(\frac{1}{2}\)+\(\frac{1}{3}\)
x -\(\frac{1}{6}\)=\(\frac{5}{6}\)
x =\(\frac{5}{6}\)+\(\frac{1}{6}\)
x = 1
x +\(\frac{1}{8}\)=\(\frac{1}{2}\)-\(\frac{1}{3}\)
x +\(\frac{1}{8}\)=\(\frac{1}{6}\)
x =\(\frac{1}{6}\)-\(\frac{1}{8}\)
x =\(\frac{1}{24}\)
Học tốt!!!
\(3\times\left(x-\frac{1}{6}\right)-2\times\left(x-\frac{1}{3}\right)=\frac{2}{3}\)
\(3\times x-3\times\frac{1}{6}-2\times x+2\times\frac{1}{3}=\frac{2}{3}\)
\(3\times x-\frac{1}{2}-2\times x+\frac{2}{3}=\frac{2}{3}\)
\(3\times x-2\times x=\frac{2}{3}+\frac{1}{2}-\frac{2}{3}\)
\(x=\frac{4}{6}+\frac{3}{6}-\frac{4}{6}\)
\(x=\frac{3}{6}\)
\(x=\frac{1}{2}\).
Bài 1
1/2 x 3/4 : 4/5
= 3/8 : 4/5
= 3/8 x 5/4
= 15/32
2/3 + 1/6 - 1/2
= 4/6 + 1/6 - 3/6
= 5/6 - 3/6
= 1/3
3/5 + 4 : 2/3 - 3/2
= 3/5 + 4 x 3/2 - 3/2
= 3/5 + 6 - 3/2
= 3/5 + 30/5 - 3/2
= 33/5 - 3/2
= 66/10 - 15/10
= 28/5
Bài 2
x - 1/4 = 1/2
x = 1/2 + 1/4
x = 2/4 + 1/4
x = 3/4
2/3 + x = 1
x = 1 - 2/3
x = 3/3 - 2/3
x = 1/3
a x * 4 + [1/2 + 1/4 + 1/8 + 1/6] = 23/16
x * 4 + 25/24 = 23/16
x * 4 = 23/16 - 25/24
x * 4 = 38/96 = 19/48
x = 19/48 / 4
x = 19/172
b x * 1 = 425
x = 425 / 1
x = 425
\(X\times\dfrac{1}{2}=\dfrac{1}{3}\)
\(X=\dfrac{1}{3}:\dfrac{1}{2}\)
\(X=\dfrac{2}{3}\)
(Cấp 1 không dùng dấu \(\Rightarrow\) )
\(x\times\dfrac{1}{2}=\dfrac{1}{3}\\ \Rightarrow x=\dfrac{1}{3}:\dfrac{1}{2}\\ \Rightarrow x=\dfrac{2}{3}\)