Question

c) ( 2x - 1)⁶ = 64²

Answer 1

\(\left(2x-1\right)^6=64^2\)

\(\Leftrightarrow\left(2x-1\right)^6=4^6\)

\(\Leftrightarrow\left[\begin{array}{nghiempt}2x-1=4\\2x-1=-4\end{array}\right.\)

\(\Leftrightarrow\left[\begin{array}{nghiempt}x=\frac{5}{2}\\x=-\frac{3}{2}\end{array}\right.\)

 

Answer 2

\(\left(2x-1\right)^6=64^2\)

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

\(\Rightarrow2x-1=\pm4\)

+) \(2x-1=4\Rightarrow x=\frac{5}{2}\)

+) \(2x-1=-4\Rightarrow x=\frac{-3}{2}\)

Vậy \(x=\frac{5}{2}\) hoặc \(x=\frac{-3}{2}\)

Answer 3

(2x-1)⁶ = 64²

<=> (2x-1)⁶ = 4⁶

<=> 2x -1 = 4

<=> 2x = 5

<=> x = \(\frac{5}{2}\)

Answer 4

x=5