Giải:

Ta có:

\(\frac{x}{3}=\frac{y}{4}=\frac{z}{5}\)

\(\Rightarrow\frac{x^2}{3^2}=\frac{y^2}{4^2}=\frac{z^2}{5^2}\)

\(\Rightarrow\frac{-2x^2}{-2.9}=\frac{y^2}{16}=\frac{3z^2}{3.25}\)

\(\Rightarrow\frac{-2x^2}{-18}=\frac{y^2}{16}=\frac{3z^2}{75}\)

Theo tính chất dãy tỉ số bằng nhau, ta có:

\(\frac{-2x^2}{-18}=\frac{y^2}{16}=\frac{3z^2}{75}=\frac{-2x^2+y^2-3z^2}{-18+16-75}=\frac{-77}{-77}=1\)

+ \(\frac{-2x^2}{-18}=1\Rightarrow x=3\)

+ \(\frac{y^2}{16}=1\Rightarrow y=4\)

+ \(\frac{3z^2}{75}=1\Rightarrow z=5\)

Vậy x=4; y=4; z=5

cái này mik có lm r mà

????

Câu a:

2.(3\(x\) - \(\frac12\)) - 2\(x\) = \(\frac12\).(2\(x\) - 3)

6\(x\) - 1 - 2\(x\) = \(x\) - \(\frac32\)

6\(x\) - 2\(x\) - \(x\) = 1 - \(\frac32\)

4\(x\) - \(x\) = - \(\frac12\)

3\(x\) = - \(\frac12\)

\(x\) = - \(\frac12\) : 3

\(x=-\frac16\)

Vậy \(x=-\frac16\)

Câu b:

(2\(x\) - \(\frac35\))\(^2\) = \(\frac{4}{25}\)

(2\(x-\frac35\))\(^2\) = \(\left(\frac{2}{25}\right)\)\(^2\)

2\(x\) - \(\frac35\) = \(\frac25\) hoặc 2\(x\) - \(\frac35\) = - \(\frac25\)

TH: 2\(x\) - \(\frac35\) = \(\frac25\)

2\(x\) = \(\frac25+\frac35\)

2\(x\) = 1

\(x=\frac12\)

2\(x\) - \(\frac35\) = - \(\frac25\)

2\(x\) = - \(\frac25\) + \(\frac35\)

2\(x\) = \(\frac15\)

\(x\) = \(\frac{13}{25}\) : 2

\(x\) = \(\frac15\)

Vậy \(x\) ∈ {1/5; 1/2}

a) x - 3x + 5 = 57x - 3x + 5 + 57

=>  x - 3x - 57x + 3x = 5 + 57 - 5

-56x = 57

x = -57/56

b) x - 1x + 2 = x -2x + 3

=> x - 1x - x + 2x = 3 - 2

x = 1