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( 2x - 15 ) ^5 = ( 2x - 15 ) ^3

=>( 2x - 15 ) ^5 - ( 2x - 15 ) ^3 = 0

=>( 2x - 15 ) ^2 =0

=> 2x-15 = 0

=> x = \(\frac{15}{2}\) =7 \(\frac{1}{2}\)

\(\left(2x-15\right)^5=\left(2x-15\right)^3\)

\(\Rightarrow\left(2x-15\right)^5-\left(2x-15\right)^3=0\)

\(\Rightarrow\left(2x-15\right)^3\left[\left(2x-15\right)^2-1=0\right]\)

\(\Leftrightarrow\orbr{\begin{cases}\left(2x-15\right)^3=0\\\left(2x-15\right)^2-1=0\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}2x-15=0\\\left(2x-15\right)^2=\left(\pm1\right)^2\end{cases}}\)

\(\Leftrightarrow\hept{\begin{cases}2x-15=0\\2x-15=1\\2x-15=-1\end{cases}}\)

\(\Leftrightarrow\hept{\begin{cases}x=\frac{15}{2}\\x=8\\x=7\end{cases}}\)

P/s : ở 2 dòng cuối đổi \(\hept{\begin{cases}\\\\\end{cases}}\)thành \(\orbr{\begin{cases}\\\end{cases}}\)

\(\frac{x-1}{-3}\)=\(\frac{2x+5}{5}\)\(\Rightarrow\)5(x-1)=-3(2x+5)

                                           \(\rightarrow\)5x-5=-6x-15

                                          \(\rightarrow\)5x+6x=5-15

                                         \(\rightarrow\)11x=-10\(\Rightarrow\)x=\(\frac{-10}{11}\)

vậy.........................

a,\(\left(1+x\right)^3=\left(2x\right)^3\)

=>\(1+x=2x\)

=>\(x-2x=-1\)

=>\(-x=-1\)

=>\(x=1\)

vậy ​\(x=1\)​

b,\(\left(x-1\right)^2=16\)

=>\(\left(x-1\right)^2=4^2\)

=>\(x-1=4\)

=>\(x=4+1\)

=>\(x=5\)

Vậy​\(x=5\)​

c,\(\left(x+1\right)^2=25\)

=>\(\left(x+1\right)^2=5^2\)

=>\(x+1=5\)

=>\(x=5-1\)

=>\(x=4\)

Vậy \(x=4\)

d,\(4x^3+15=47\)

=>\(4x^3=47-15\)

=>\(4x^3=32\)

=>\(x^3=32:4\)

=>\(x^3=8\)

=>\(x^3=2^3\)

=>\(x=2\)

Vậy\(x=2\)

e,\(\left(2x-1\right)^5=x^5\)

=>\(2x-1=x\)

=>\(2x-x=1\)

=>\(x=1\)

Vậy\(x=1\)

ĐÚNG K MÌNH NHA

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(24*5-5^2*2):(5*2)-3

=(120-50)/10-3

=7-3=4

\(\left(3x-6\right)-\left(2x+3\right)=15\)

\(\Leftrightarrow3x-6-2x-3=15\)

\(\Leftrightarrow x-9=15\)

\(\Leftrightarrow x=15+9\)

\(\Leftrightarrow x=24\)

\(\left(3x-6\right)-\left(2x+3\right)=15\)

\(3x-6-2x-3=15\)

\(x-3=15\)

\(x=18\)

(3x - 6) - (2x + 3) = 15

<=> 3x - 6 - 2x + 3 = 15

<=> 3x - 2x + 3 = 15 + 6

<=> 3x - 2x + 3 = 21

<=> 3x - (2x + 3) = 21

<=> x - 3 = 21

<=> x = 21 + 3

<=> x = 24

=> x = 24

K hiểu phần nào ib mình 

a/(x-5)^4=9x-5)^6\(\Rightarrow\) TH1:x-5=1\(\rightarrow\) x=6

                        \(\Rightarrow\) TH2:x-5=-1\(\rightarrow\) x=4

                       \(\Rightarrow\) TH3:x-5=0\(\rightarrow\) x=5

vậy....................

b/(2x-15)^5=(2x-15)^6\(\Rightarrow\) 2x-15=1\(\rightarrow\) 2x=16\(\rightarrow\)x=8

                              \(\Rightarrow\) 2x-15=0\(\rightarrow\)2x=15\(\rightarrow\)x=7.5

vậy................

a) Có : ( x-5 ) \(^4\) = ( x - 5 ) \(^6\)

\(\Rightarrow\left(x-5\right)^6:\left(x-5\right)^4=1\Rightarrow\left(x-5\right)^2=1\)

\(\Rightarrow x-5=1\) hoặc \(x-5=-1\)

\(\Rightarrow x=1+5\) hoặc \(x=-1+5\)

\(\Rightarrow x=6\) hoặc \(x=4\)

b) \(\left(2x-15\right)^5=\left(2x-15\right)^3\)

\(\Rightarrow\left(2x-15\right)^5:\left(2x-15\right)^3=1\Rightarrow\left(2x-15\right)^2=1\)

\(\Rightarrow2x-15=1\) hoặc \(2x-15=-1\)

\(\Rightarrow2x=16\) hoặc \(2x=14\)

\(\Rightarrow x=8\) hoặc \(x=7\)