Question

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2129602003​

Answer 1

Answer:

$x = \frac{11}{2}$ or $x = \frac{-9}{2}$

Step-by-step explanation:

$\frac{1}{5} (2x-1)^{2} = 20$

⇒$(2x-1)^{2} = 20$ × 5

⇒$(2x)^{2} + 1 - 4x = 100$

⇒$4x^{2} - 4x +1 - 100 =0$

⇒$4x^{2} - 4x - 99 = 0$

⇒$4x^{2} -22x +18x -99 =0$

⇒$2x( 2x-11) + 9 ( 2x-11) =0$

⇒$2x-11 = 0$ or $2x +9 =0$

⇒$x = \frac{11}{2} ,\frac{-9}{2}$