Math, asked by rajeshkumarchahar, 1 year ago

solve the equation 3 x square - 5 x + 2=0 by the method of completing the square

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Answered by ayeshakhan12
27
Hey friend
3 {x}^{2}  - 5x + 2 = 0 \\  {x}^{2}  -  \frac{5x}{3}  +  \frac{2}{3}  = 0 \\  {x}^{2}  -  \frac{5x}{3}  =  -  \frac{2}{3}   \\ {x}^{2}  -  \frac{5x}{3}   +    { (\frac{5}{6} })^{2}  =  -  \frac{2}{3}  + { (\frac{5}{6} })^{2}  \\  {(x -  \frac{5}{6} })^{2}  =  -  \frac{2}{3}  +  \frac{25}{36}  \\ ( {x -  \frac{5}{6} })^{2}  =   \frac{ - 24 + 25}{36}  \\  {(x -  \frac{5}{6} })^{2}  =  \frac{1}{36}  \\ x -  \frac{5}{6}  =  \sqrt{ \frac{1}{36} }   \\ x -  \frac{5}{6}  =  \frac{1}{6}   \\ x =  \frac{1}{6}  +  \frac{5}{6}  \\ x =  \frac{1 + 5}{6}  \\ x =  \frac{6}{6}  \\ x = 1
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Answered by 790sudha
7

please mark my answer as a brain list.......

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