Trang chủ » Hỏi đáp » Môn Toán (2x-1)^2=4/9 /////////////////////////////////////////////////// 20/05/2024 (2x-1)^2=4/9 ///////////////////////////////////////////////////
(2x-1)^2 = 4/9 => (2x-1)^2 = ( 2/3 )^2 hoặc ( 2x-1)^2 = (-2/3)^2 => $\left[\begin{matrix} 2x-1=\dfrac{2}{3}\\ 2x-1=-\dfrac{2}{3}\end{matrix}\right.$ => $\left[\begin{matrix} 2x=\dfrac{5}{3}\\ 2x=\dfrac{1}{3}\end{matrix}\right.$ => $\left[\begin{matrix} x=\dfrac{5}{6}\\ x=\dfrac{1}{6}\end{matrix}\right.$ Vậy x ∈ { 5/6 ; 1/6 } Trả lời
Giải đáp: x in {5/6;1/6} Lời giải và giải thích chi tiết: (2x-1)^2=4/9 =>(2x-1)^2=(2/3)^2=(- 2/3)^2 =>\(\left[ \begin{array}{l}2x-1=\dfrac{2}{3}\\2x-1=-\dfrac{2}{3}\end{array} \right.\) =>\(\left[ \begin{array}{l}2x=\dfrac{2}{3}+1\\2x=-\dfrac{2}{3}+1\end{array} \right.\) =>\(\left[ \begin{array}{l}2x=\dfrac{2}{3}+\dfrac{3}{3}\\2x=-\dfrac{2}{3}+\dfrac{3}{3}\end{array} \right.\) =>\(\left[ \begin{array}{l}2x=\dfrac{5}{3}\\2x=\dfrac{1}{3}\end{array} \right.\) =>\(\left[ \begin{array}{l}x=\dfrac{5}{3}.\dfrac{1}{2}\\x=\dfrac{1}{3}.\dfrac{1}{2}\end{array} \right.\) =>\(\left[ \begin{array}{l}x=\dfrac{5}{6}\\x=\dfrac{1}{6}\end{array} \right.\) $Vậy$ x in {5/6;1/6} Trả lời
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