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( X + 5 ) + ( X - 5 ) + ( X x 5 ) + ( X : 5 ) = 52
X + 5 + X - 5 + ( X x 5 ) + ( X : 5 ) = 52
( X + X ) + ( 5 - 5 )+ 5X + X/5=52
2X+(5X+X/5)=52
2X=52
X=52/2=26
\(52:x=\frac{1}{4}+\frac{1}{28}+\frac{1}{70}+\frac{1}{130}\)
\(52:x=\frac{1}{1\times4}+\frac{1}{4\times7}+\frac{1}{7\times10}+\frac{1}{10\times13}\)
\(52:x=\frac{1}{3}\times\left(\frac{3}{1\times4}+\frac{3}{4\times7}+\frac{3}{7\times10}+\frac{3}{10\times13}\right)\)
\(52:x=\frac{1}{3}\times\left(1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+\frac{1}{10}-\frac{1}{13}\right)\)
\(52:x=\frac{1}{3}\times\left(1-\frac{1}{13}\right)\)
\(52:x=\frac{1}{3}\times\frac{12}{13}\)
\(52:x=\frac{4}{13}\)
\(x=52:\frac{4}{13}\)
\(x=169\)
52 :x =1/4 + 1/28 +1/70 + 1/130
52 : x = 4/13
x = 52 : 4/13
x = 169
679+679x123-679x24
=679x1+679x123+679x24
=679x(1+123-24)
=679x100
=67900
245x327-245x18-9x245
=245x(327-18-9)
=245x300
=73500
679 +679 x 123 - 679 x 24
= 679 x ( 1 + 123 - 24 )
= 679 x 100
= 67900
245 x 327 - 245 x 18 - 9 x 245
= 245 x ( 327 - 18 - 9 )
= 245 x 300
= 73500
A : 196 x 56 + 196 x 41 + 4 x 196 - 196 x 1
= 196 x ( 56 + 41 + 4 - 1 )
= 196 x 100
= 19 600
B : 132 x 19 + 132 x 18 + 64 x 132 - 132 x 1
= 132 x ( 19 + 18 + 64 - 1 )
= 132 x 100
= 13 200
C : 145 x 69 + 145 x 32 - 145 x 1
= 145 x ( 69 + 32 - 1 )
= 145 x 100
= 14 500
A = 196 x 56 + 196 x 41 + 4 x 196 - 196
A = 196 x ( 56 + 41 + 4 - 1 )
A = 196 x 100 = 19600
B = 132 x 19 + 132 x 18 + 64 x 132 - 132
B = 132 x ( 19 + 18 + 64 - 1 )
B = 132 x 100 = 13200
C = 145 x 69 + 145 x 32 - 145
C = 145 x ( 69 + 32 - 1 )
C = 145 x 100 = 14500
Ta có: ( 145 x 99 + 145 ) - ( 143 x 102 - 143 )
= [145.(99 + 1)] - [143.(102 - 1)]
= (145.100) - (143.101)
= .........................
\(x+\frac{145}{245}=\frac{52}{70}\)
\(\Leftrightarrow x+\frac{29}{49}=\frac{26}{35}\)
\(x=\frac{26}{35}-\frac{29}{49}\)
\(x=\frac{182}{245}-\frac{145}{245}\)
\(x=\frac{37}{245}\)
x+145/245 =52/70
⇔x+29/49 =26/35
x=26/35 −294/9
x=182/245 −145/245
x=37/245