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2.(x+1) + 3.(x+2) =108
2.3+ (x+1).(x+2) =108
2.3+ x(1+2) =108
6+x.3 =108
x.3 =108-6
x.3 = 102
x = 102:3
x = 34
\(b,\left(x+1\right)\times3=8\)
\(\Leftrightarrow x+1=\frac{8}{3}\)
\(\Leftrightarrow x=\frac{8}{3}-1\)
\(\Leftrightarrow x=\frac{5}{3}\)
\(c,\left(21-3\right)^3=-27\)
\(\Leftrightarrow\left(21-3\right)^3=\left(-3\right)^3\)
\(\Leftrightarrow21-3=-3\)\(???\)ĐỀ SAI RỒI BẠN
\(a,\left[12\times\left(-4^3\right)\right]\times8^3=4\times\frac{8}{7}\)
\(\left[12\times\left(-64\right)\right]\times512=\frac{32}{7}\)
\(-768\times512=\frac{32}{7}\)\(???\)ĐỀ SAI RỒI BẠN
\(A=20\times21+21\times22+...+99\times100\)
\(3\times A=20\times21\times\left(22-19\right)+21\times22\times\left(23-20\right)+...+99\times100\times\left(101-98\right)\)
\(=20\times21\times22-19\times20\times21+...+99\times100\times101-98\times99\times100\)
\(=99\times100\times101-19\times20\times21\)
Suy ra \(A=\frac{99\times100\times101-19\times20\times21}{3}=360640\)
\(B=3\times4\times5+4\times5\times6+...+98\times99\times100\)
\(4\times B=3\times4\times5\times\left(6-2\right)+4\times5\times6\times\left(7-3\right)+...+98\times99\times100\times\left(101-97\right)\)
\(=3\times4\times5\times6-2\times3\times4\times5+...+98\times99\times100\times101-97\times98\times99\times100\)
\(=98\times99\times100\times101-2\times3\times4\times5\)
Suy ra \(B=\frac{98\times99\times100\times101-2\times3\times4\times5}{4}=24497520\)
Ta có A= \(2+2^2+2^3+....+2^{21}\)
=> A= \(2+2^2\left(2^3+2^4\right)+2^5\left(2^3+2^4\right)+......+2^{18}\left(2^3+2^4\right)+2^{21}\)
=> A=\(2+2^2.14+2^5.14+.....+2^{18}.14+2^{21}\)
Vì trong A có thừa số 14 nên A chia hết cho 14
A=(2+22+23)+(24+25+26)+...+(219+220+221)=14+23(2+22+23)+...+218(2+22+23)
A=14+23.14+...+218.14=14(1+23+26+...+215+218) chia hết cho 14
a) x={0,1}
với x >1 thì x^2015 luôn lớn hơn 1 => vô nghiệm
Vậy x={0,1} là nghiêm
b)
con sô 1 trên mũ hay dưới
\(3^{x+1}+3^x=3^x\left(3+1\right)=108=>3^x=\frac{108}{4}=27=3^3\)
=> x=3
1, Ta có :
\(x+\frac{3}{5}=\frac{4}{7}\div\frac{8}{21}\)
\(x+\frac{3}{5}=\frac{4}{7}\times\frac{21}{8}\)
\(x+\frac{3}{5}=\frac{3}{2}\)
\(x=\frac{3}{2}-\frac{3}{5}\)
\(x=\frac{15}{10}-\frac{6}{10}\)
\(x=\frac{9}{10}\)
Vậy x = \(\frac{9}{10}\)
2, Ta có :
\(\frac{2}{3}+\frac{3}{4}\div x=-\frac{1}{6}\)
\(\frac{3}{4}\div x=-\frac{1}{6}-\frac{2}{3}\)
\(\frac{3}{4}\div x=-\frac{1}{6}-\frac{4}{6}\)
\(\frac{3}{4}\div x=-\frac{5}{6}\)
\(x=\frac{3}{4}\div\left(-\frac{5}{6}\right)\)
\(x=\frac{3}{4}\times\left(-\frac{6}{5}\right)\)
\(x=-\frac{9}{10}\)
Vậy x = \(-\frac{9}{10}\)
\(\left(x.3-21\right):4+108=114\)
\(\left(x.3-21\right):4=114-108\)
\(\left(x.3-21\right):4=6\)
\(x.3-21=6.4\)
\(x.3-21=24\)
\(x.3=24+21\)
\(x.3=45\)
\(x=45:3\)
\(x=15\)
(X.3-21):4+108=114
=>(X.3-21):4=114-108
=>(X.3-21):4=6
=>X.3-21=6.4
=>X.3-21=24
=>X.3=24+21
=>X.3=45
=>X=45:3
=>X=15