Tìm x:39-975:x=123
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a) x - 363 = 975
x = 975 + 363
x = 1338
b) 207 + x = 815
x = 815 - 207
x = 608
\(\frac{x-971}{972}+\frac{x-973}{970}+\frac{x-975}{968}+\frac{x-977}{966}=\frac{x-972}{971}+\frac{x-970}{973}+\frac{x-968}{975}+\frac{x-966}{977}\)
\(\Rightarrow\frac{x-971}{972}-1+\frac{x-973}{970}-1+\frac{x-975}{968}-1+\frac{x-977}{966}-1=\frac{x-972}{971}-1+\frac{x-970}{973}-1+\frac{x-968}{975}-1+\frac{x-966}{977}-1\)\(\Rightarrow\frac{x-1943}{972}+\frac{x-1943}{970}+\frac{x-1943}{968}+\frac{x-1943}{966}=\frac{x-1943}{971}+\frac{x-1943}{973}+\frac{x-1943}{975}+\frac{x-966}{977}\)
\(\Leftrightarrow\frac{x-1943}{972}+\frac{x-1943}{970}+\frac{x-1943}{968}+\frac{x-1943}{966}-\frac{x-1943}{971}-\frac{x-1943}{973}-\frac{x-1943}{975}-\frac{x-966}{977}=0\)
\(\Leftrightarrow\left(x-1943\right).\left(\frac{1}{972}+\frac{1}{970}+\frac{1}{968}+\frac{1}{966}-\frac{1}{971}-\frac{1}{973}+\frac{1}{975}+\frac{1}{977}\right)=0\)
\(\Leftrightarrow\left(x-1943\right)=0\Leftrightarrow x=1943\)
Vậy...
`@` `\text {Ans}`
`\downarrow`
\(39 \times 123 + 26 \times 47 - 13 \times 163\)
`= 3 \times 13 \times 123 + 2 \times 13 \times 47 - 13 \times 163`
`= 13 \times (3 \times 123 + 2 \times 47 - 163)`
`= 13 \times (369 + 94 - 163)`
`= 13 \times 300`
`=3900`
\(39\times123+26\times47-13\times163\)
\(=13\times\left(3\times123+2\times47-163\right)\)
\(=13\times300\)
\(=3900\)
x + 123 = 123 - 123 + 123
x + 123 = 123
x = 123 - 123
x = 0
x + 123 = 123 - 123 + 123
x + 123 =0 + 123
x + 123 =123
x = 123 - 123
x = 0
K MIK NHÉ!
39 - 975 : x = 123
975 : x = 39 - 123
975 : x = -84
x = 975 : (-84)
x = \(\dfrac{-319}{28}\)