
giải hộ mình bài 2 nhé cảm ơn trước
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<=> 10x-9,9=0,1.x+9,9
<=> 100x-99=x+99
<=> 99x=99+99
<=> 99x=198 => x=198:99 => x=2
Đáp số: x=2
<=> 10x-9,9=0,1.x+9,9
<=> 100x-99=x+99
<=> 99x=99+99
<=> 99x=198 => x=198:99 => x=2
Đáp số: x=2
Câu 1:
0,9 x 218 x 2 + 0,18 x 4290 + 0,6 x 353 x 3
= 9/10 x 436 + 9/50 x 4290 + 6/10 x 1059
= 9 x 43,6 + 9 x 85,8 + 6 x 105,9
= 3 x 130,8 + 3 x 257,4 + 3 x 211,8
= 3 x ( 130,8 + 257,4 + 211,8 )
= 3 x 600
= 1800
Câu 2:
3/4 x X + 1/2 x X - 15 = 35
X x ( 3/4 + 1/2 ) - 15 = 35
X x ( 3/4 + 1/2 ) = 50
X x 5/4 = 50
X = 40
VẬy X = 40
Bài 22:
1: \(\sqrt{3-\sqrt5}=\frac{\sqrt{6-2\sqrt5}}{\sqrt2}\)
\(=\frac{\sqrt{\left(\sqrt5-1\right)^2}}{\sqrt2}=\frac{\sqrt5-1}{\sqrt2}=\frac{\sqrt{10}-\sqrt2}{2}\)
2: \(\sqrt{7+3\sqrt5}\)
\(=\frac{\sqrt{14+6\sqrt5}}{\sqrt2}\)
\(=\frac{\sqrt{\left(3+\sqrt5\right)^2}}{\sqrt2}=\frac{3+\sqrt5}{\sqrt2}=\frac{3\sqrt2+\sqrt{10}}{2}\)
3: \(\sqrt{9+\sqrt{17}}-\sqrt{9-\sqrt{17}}-2\)
\(=\frac{1}{\sqrt2}\left(\sqrt{18+2\sqrt{17}}-\sqrt{18-2\sqrt{17}}\right)-2\)
\(=\frac{1}{\sqrt2}\left(\sqrt{\left(\sqrt{17}+1\right)^2}-\sqrt{\left(\sqrt{17}-1\right)^2}\right)-2\)
\(=\frac{1}{\sqrt2}\left(\sqrt{17}+1-\sqrt{17}+1\right)-2=\frac{2}{\sqrt2}-2=\sqrt2-2\)
Bài 26:
1: \(\left|3-2x\right|=2\sqrt5\)
=>\(\left[\begin{array}{l}2x-3=2\sqrt5\\ 2x-3=-2\sqrt5\end{array}\right.\Rightarrow\left[\begin{array}{l}2x=3+2\sqrt5\\ 2x=3-2\sqrt5\end{array}\right.\Rightarrow x=\frac{3\pm2\sqrt5}{2}\)
2: \(\sqrt{x^2}=12\)
=>|x|=12
=>x=12 hoặc x=-12
3: \(\sqrt{x^2-2x+1}=7\)
=>\(\sqrt{\left(x-1\right)^2}=7\)
=>|x-1|=7
=>\(\left[\begin{array}{l}x-1=7\\ x-1=-7\end{array}\right.\Rightarrow\left[\begin{array}{l}x=8\\ x=-6\end{array}\right.\)
a) \(3\dfrac{1}{4}=\dfrac{2}{3}:\left(\dfrac{-x}{2}\right)\Leftrightarrow\dfrac{13}{4}=\dfrac{2}{3}.\dfrac{-2}{x}\Leftrightarrow\dfrac{-2}{x}=\dfrac{39}{8}\Leftrightarrow x=-\dfrac{16}{39}\)
b) \(1-2\left(x+\dfrac{1}{3}\right)=\left|-\dfrac{2}{3}+\dfrac{1}{5}\right|\Leftrightarrow1-2x-\dfrac{2}{3}=\dfrac{7}{15}\Leftrightarrow2x=-\dfrac{2}{15}\Leftrightarrow x=-\dfrac{1}{15}\)
c) \(\left(2x-1\right)\left(\dfrac{2}{5}-\dfrac{1}{3}x\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}2x-1=0\\\dfrac{2}{5}-\dfrac{1}{3}x=0\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{2}\\\dfrac{1}{3}x=\dfrac{2}{5}\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{2}\\x=\dfrac{6}{5}\end{matrix}\right.\)
d) \(-4\dfrac{3}{5}.2\dfrac{4}{23}\le x\le-2\dfrac{3}{5}:1\dfrac{6}{15}\Leftrightarrow-10\le x\le-\dfrac{13}{7}\Leftrightarrow x\in\left\{-10;-9;-8;-7;-6;-5;-4;-3;-2;-1\right\}\)(do \(x\in Z\))
Bài 2:
c: Ta có: \(\left(2x-1\right)\left(\dfrac{2}{5}-\dfrac{1}{3}x\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}2x-1=0\\\dfrac{2}{5}-\dfrac{1}{3}x=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}2x=1\\\dfrac{1}{3}x=\dfrac{2}{5}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{2}\\x=\dfrac{6}{5}\end{matrix}\right.\)