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a) Ta có: X-1,25x4= 2,5
=)X-1,25= 2,5:4= 0,625
=)X= 0,625+1,25= 1,875
Vậy X= 1,875
b) Ta có: (X+1)+(X+2)+(X+3)+...+(X+20) = 750
=)X+1+X+2+X+3+...+X+20(20 chữ số X) = 750
=)20X+(1+2+3+...+20) = 750
=)20X+[(1+20)+(2+19)+...+(10+11)] = 750 (10 cặp số hạng)
=)20X+(21+21+21+...+21) = 750
=)20X+21x10 = 750
=)20X+210 = 750
=)20X = 750-210 = 540
=)X = 540:20 = 27
Vậy X = 27
Câu C bạn nhìn phần B rồi tự nghĩ nha. Luời quá rồi
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BÀI \(1\):
\(\left(-1005\right).\left(x+2\right)=0\)
\(x+2=0:\left(-1005\right)\)
\(x+2=0\)
\(x=0-2\)
\(x=-2\)
BÀI \(2\):
\(x+x+x+91=-2\)
\(3x=\left(-2\right)-91\)
\(3x=-93\)
\(x=\left(-93\right):3\)
\(x=-31\)
BÀI \(3\):
\(\left|5x+1\right|=11\)
Có hai trường hợp:
\(TH^{ }1:_{ }5x+1=11\)
\(5x=11-1\)
\(5x=10\)
\(x=10:5\)
\(x=2\)
\(TH2:^{ }5x+1=-11\)
\(5x=\left(-11\right)-1\)
\(5x=-12\)
\(x=\left(-12\right):5\)
\(x=-2,4\)
\(k\)\(minh\)\(nhe\)\(.\)
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c) \(\frac{x-\frac{1}{2}}{\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}}=\frac{1}{3}\)
Đặt \(S=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}\)
\(S=\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}\)
\(S=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{4}-\frac{1}{5}\)
\(S=1-\frac{1}{5}=\frac{4}{5}\)
Do đó \(\frac{x-\frac{1}{2}}{S}=\frac{1}{3}\)
=> \(x-\frac{1}{2}=\frac{1}{3}S=\frac{1}{3}\cdot\frac{4}{5}=\frac{4}{15}\)
=> \(x=\frac{4}{15}+\frac{1}{2}=\frac{23}{30}\)
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Ta có: 3x +3x+1+3x+2= 3x x 30 +3x x 31 +3x x 32=1053
Suy ra: 3x x(30+31+32)=3x x(1+3+9)=3x x 13=1053
Suy ra: 3x =1053:13=81
Mà 34 = 81
Vậy x = 4
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Bài làm
a) \(41-2\times\left(X-7\right)=13\)
\(41-2X+14=13\)
\(2x+14=41-13\)
\(2x+14=28\)
\(2x=14\)
\(x=7\)
Vậy x = 7.
b) \(\frac{5}{3}-\frac{2}{3}\times\left(x+1\right)=1\)
\(\frac{2}{3}\times\left(x+1\right)=\frac{5}{3}-1\)
\(\frac{2}{3}\times\left(x+1\right)=\frac{2}{3}\)
\(x+1=\frac{2}{3}:\frac{2}{3}\)
\(x+1=1\)
\(x=0\)
Vậy x = 0
c) \(10+11+12+...+x=5106\)
Ta có biểu thức của tổng trên là:
( x + 10 ) . [ ( x - 10 ) : 1 + 1 ] : 2 = 5106
( x + 10 ) . [ ( x - 10 ) : 1 + 1 ] = 5106 . 3
( x + 10 ) . ( x - 10 + 1 ) = 15318
( x + 10 ) . ( x - 9 ) = 15318
Từ đây kẻ bảng nhé, mik lười.
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