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100 + x2 = 181
x2 = 181 - 100
x2 = 81
x2 = 92 = (-9)2
=> \(x\in\left\{9;-9\right\}\)
\(100+x^2=181\)
\(x^2=181-100\)
\(x^2=81\)
=> x = 9 hay x = -9
ai k mk mk k lại
3B=3^1+3^2+3^3+.....+3^119+3^120
3B-B=(3^1+3^2+3^3+.....+3^119+3^120)-(1+3^1+3^2+3^3+.....+3^119)
2B=3^120-1
B=3^120-1/2
\(B=1+3^1+3^2+...+3^{118}+3^{119}\)
\(3B=3+3^2+3^3+..+3^{120}\)
\(3B-B=\left(3+3^2+...+3^{120}\right)-\left(1+3+3^2+...+3^{119}\right)\)
\(2B=1+3^{120}\)
a) \(\frac{x-3}{3}-1=\frac{x}{-4}\)
\(\Leftrightarrow\frac{x-3}{3}-\frac{3}{3}=\frac{x}{-4}\)
\(\Leftrightarrow\frac{x-6}{3}=\frac{x}{-4}\)
\(\Leftrightarrow-4\left(x-6\right)=3x\)
\(\Leftrightarrow-4x+24=3x\)
\(\Leftrightarrow24=3x+4x\)
\(\Leftrightarrow7x=24\)
\(\Leftrightarrow x=\frac{24}{7}\)
b) \(\frac{5}{8}-\left(x-\frac{1}{2}\right)=\frac{-3}{4}\)
\(\Leftrightarrow\frac{5}{8}-x+\frac{1}{2}=\frac{-3}{4}\)
\(\Leftrightarrow\frac{5}{8}+\frac{4}{8}-x=\frac{-3}{4}\)
\(\Leftrightarrow\frac{9}{8}-x=\frac{-3}{4}\)
\(\Leftrightarrow x=\frac{9}{8}+\frac{3}{4}\)
\(\Leftrightarrow x=\frac{15}{8}\)
= \(\frac{10}{3}.x-\frac{25}{4}=\frac{13}{4}\)
\(\frac{10}{3}.x=\frac{13}{4}+\frac{25}{4}\)\(=\frac{19}{2}\)
\(x=\frac{19}{2}:\frac{10}{3}\)
\(x=\frac{57}{20}\)
k mk mk k lại n_n
x2+25=150-25=125
x2=125-25=100
x2=102
x=10
lk giup anh nha anh lop8
\(x^2+25=150-5^2\Leftrightarrow x^2=125-25\Leftrightarrow x=\sqrt{100}=10\)
\(Vậy x=10\)
3x+1+1=82
=>3x+1 =82-1
=>3x+1=81
=>3x+1 = 34
=>x+1 =4
=>x=3
=> \(3^{x+1}\) = 82
=> \(3^{x+1}\) = 81
=> \(3^{x+1}\) = \(3^4\)
=> x+1 = 4
=> x = 3