\(2^x.2^2.2^2=2^3\Rightarrow2^{x+2+2}=2^3\Rightarrow x+4=3\Rightarrow x=-1\)-1

\(\left(5^2+3^2\right).x+\left(5^2-3^2\right).x-40.x=10^2\)

\(\Rightarrow x.\left(5^2+3^2+5^2-3^2-40\right)=10^2\)

\(\Rightarrow x.\left(2.5^2-40\right)=10^2\)

\(\Rightarrow x.10=10^2\Rightarrow x=10^2:10\Rightarrow x=10\)

Nhầm kết quả đầu x= -1 nhá

đánh mũ bị lỗi sorry

<=> 48x^2 - 12x - 20x + 5 + 3x - 48x^2 - 7 + 112x = 81 
<=> -32x + 115x = 81 + 2 
<=> 83x = 83 
<=> x = 1

=06052015

a) 4x(x - 5) - (x - 1)(4x - 3) = 5

4x² - 20x - (4x² - 3x - 4x + 3) = 5

4x² - 20x - 4x² + 3x + 4x - 3 = 5

-13x - 3 = 5

\(\Rightarrow\) -13x = 8

\(\Rightarrow\) x = \(\dfrac{-8}{13}\)

b) (3x - 4)(x - 2) = 3x(x - 9) - 3

3x² - 6x - 4x + 8 = 3x² - 27x - 3

3x² - 10x + 8 - 3x² + 27x + 3 = 0

17x + 11 = 0

\(\Rightarrow\) 17x = -11

\(\Rightarrow\) x = \(\dfrac{-11}{17}\)

c) x² - 81 = 0

\(\Rightarrow\) x² = 81

\(\Rightarrow\) x = \(\pm\) 9

d) 3x² - 75 = 0

3(x² - 25) = 0

\(\Rightarrow\) x² - 25 = 0

\(\Rightarrow\) x² = 25

\(\Rightarrow\) x = \(\pm\)5

e) x² - 4x + 3 = 0

x² - x - 3x + 3 = 0

(x² - x) - (3x - 3) = 0

x(x - 1) - 3(x - 1) = 0

(x - 3)(x - 1) = 0

\(\Leftrightarrow\left\{{}\begin{matrix}x-3=0\\x-1=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=3\\x=1\end{matrix}\right.\)

xin lỗi vì chữa đề

Đặt \(A=\frac{3}{5.8}+\frac{3}{8.11}+\frac{3}{11.14}+...+\frac{3}{32.35}\)

\(A=\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+\frac{1}{11}-\frac{1}{14}+...+\frac{1}{32}-\frac{1}{35}\)

\(A=\frac{1}{5}-\frac{1}{35}=\frac{6}{35}\)

\(\Rightarrow x+\frac{6}{35}=-\frac{2}{7}\Rightarrow x=-\frac{2}{7}-\frac{6}{35}=-\frac{16}{35}\)

<=> 48x^2 - 12x - 20x + 5 + 3x - 48x^2 - 7 + 112x = 81 
<=> -32x + 115x = 81 + 2 
<=> 83x = 83 
=>x = 1

hc tốt

(12x - 5)* (4x - 1) + ( 3x - 7) * ( 1 - 16x ) = 81

 <=> 48x^2 - 12x - 20x + 5 + 3x - 48x^2 - 7 + 112x = 81
<=> -32x + 115x = 81 + 2 
<=> 83x = 83 
<=> x = 1

<=> 48x^2 - 12x - 20x + 5 + 3x - 48x^2 - 7 + 112x = 81 
<=> -32x + 115x = 81 + 2 
<=> 83x = 83 
<=> x = 1

hc tốt

a)\(8\sqrt{x}-3\sqrt{\frac{4}{81}}=5,2\)

\(\Rightarrow8\sqrt{x}-3.\frac{2}{9}=5,2\)

\(\Rightarrow8\sqrt{x}-\frac{2}{3}=5,2\)

\(\Rightarrow8\sqrt{x}=5,2+\frac{2}{3}\)

\(\Rightarrow8\sqrt{x}=\frac{40}{3}\)

\(\Rightarrow\sqrt{x}=\frac{40}{3}:8\)

\(\Rightarrow\sqrt{x}=\frac{5}{3}\)

\(\Rightarrow x=\frac{25}{9}\)

b)\(12-3x^2=10+\sqrt{\frac{25}{16}}\)

\(\Rightarrow12-3x^2=10+\frac{5}{4}\)

\(\Rightarrow12-3x^2=11,25\)

\(\Rightarrow3x^2=12-11,25\)

\(\Rightarrow3x^2=0,75\)

\(\Rightarrow x^2=0,25\)

\(\Rightarrow x=\sqrt{0,25}\)

\(\Rightarrow x=0,5\)