3.5x+2 +4.5x-3 = 19.510
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a) \(\left(5x+1\right)^2=\frac{36}{49}\)
\(\Rightarrow\left(5x+1\right)^2=\left(\frac{6}{7}\right)^2=\left(\frac{-6}{7}\right)^2\)
\(\Rightarrow\hept{\begin{cases}5x+1=\frac{6}{7}\\5x+1=\frac{-6}{7}\end{cases}}\Rightarrow\hept{\begin{cases}5x=\frac{-1}{7}\\5x=\frac{-13}{7}\end{cases}\Rightarrow\hept{\begin{cases}x=\frac{-1}{35}\\x=\frac{-13}{35}\end{cases}}}\)
b) \(\left(x-\frac{2}{9}\right)^3=\left(\frac{2}{3}\right)^6\)
\(\left(x-\frac{2}{9}\right)^3=\left(\frac{2}{3}^2\right)^3\)
\(\left(x-\frac{2}{9}\right)^3=\left(\frac{4}{9}\right)^3\)
\(x-\frac{2}{9}=\frac{4}{9}\)
\(x=\frac{4}{9}+\frac{2}{9}\)
\(x=\frac{6}{9}=\frac{2}{3}\)
\(a.\left(5x+1\right)^2=\frac{36}{49}\)
\(\left(5x+1\right)^2=\frac{6^2}{7^2}\)
\(\left(5x+1\right)^2=\left(\frac{6}{7}\right)^2\)
\(\Rightarrow5x+1=\frac{6}{7}\)
\(\Rightarrow5x=\frac{6}{7}-1\)
\(\Rightarrow5x=-\frac{1}{7}\)
\(\Rightarrow x=-\frac{1}{7}:5\)
\(\Rightarrow x=-\frac{1}{35}\)
Vậy \(x=-\frac{1}{35}\)
\(b\left(x-\frac{2}{9}\right)^3=\left(\frac{2}{3}\right).^6\)
\(\left(x-\frac{2}{9}\right)^3=\frac{\left(2^2\right)^3}{\left(3^2\right)^3}\)
\(\left(x-\frac{2}{9}\right)^3=\frac{4^3}{9^3}\)
\(\left(x-\frac{2}{9}\right)^3=\left(\frac{4}{9}\right)^3\)
\(\Rightarrow x-\frac{2}{9}=\frac{4}{9}\)
\(\Rightarrow x=\frac{4}{9}+\frac{2}{9}\)
\(\Rightarrow x=\frac{6}{9}=\frac{2}{3}\)
Vậy \(x=\frac{2}{3}\)
a) (519:517+3):7
=(52+3):7
=(25+3):7
=28:7
=4
b) 79:77–32+23.52
=72–9+8.25
=49–9+8.25
=48+200
=248
c) 1200:2+62.21+18
=600+36.2+18
=600+72+18
=690
d) 59.57+12.3+70
=516+36+1
=516+37
=...
2.
a) 200–(2x+6)=43
200–(2x+6)=64
2x+6=200–64
2x+6=136
2x=136–6
2x=130
x=130:2
x=65
b) 2x—72=5–32
2x—49=5–9
2x—49=—4
2x=-4+49
2x=45
x=45:2
x=22,5
c) 4.(x+41)=22.102
.......
3.
Ta có: Để 199* chia hết cho 2
Thì 199* là số chẵn
==> * € {0;2;4;6;8}
Do đó: 199*=1990;1992;1994;1996;1998
Mà 199* chia hết cho 3
Nên 199*€{1992;1998}
Vậy các số cần tìm là 1992;1998
3.2x—3=45
3.2x=45+3
3.2x=48
2x=48:3
2x=16
x=16:2
x=8
4x .3+12=120
4x.3=120–12
4x.3=108
4x=108:3
4x=36
x=36:4
x=9
\(3.2x-3=45\)
\(3.2x=45+3\)
\(3.2x=48\)
\(2x=\frac{48}{3}\)
\(2x=16\)
\(x=8\)
Vậy \(x=8\)
\(1500:\left[\left(36x+40\right):x\right]=30\)
\(\left(36x+40\right):x=1500:30\)
\(36x+40=50x\)
\(50x-36x=40\)
\(14x=40\)
\(x=\frac{40}{14}\)
\(x=\frac{20}{7}\)
Vậy \(x=\frac{20}{7}\)