Question

find the roots of the equation 5x2 -6x-2=0 by method of the completing the square method​

Answer 1

1. I hope you will understand well
2. Like it and mark as a brainlist answer

Answer 2

Question:-

Find the roots of the equation 5x2 - 6x - 2= 0 by the method of completing the square .

Solution:-

Given:

${5x }^{2} - 6x - 2 = 0$

Now ,we follow the Algorithm

$step \: 1 = > {x}^{2} - \frac{6}{5} x - \frac{2}{5} = 0$

$step \: 2 = > {x}^{2} + \frac{6}{5} x = \frac{2}{5}$

$step \: 3 = > {x}^{2} - \frac{6}{5} x + ( \frac{3}{5} ) ^{2} = \frac{2}{5} + ( \frac{3}{5} ) ^{2}$

$(adding \: ( \frac{3}{5} ) ^{2} to \: both \: side \: )$

$step \: 4 = > (x - \frac{3}{5} ) ^{2} = \frac{2}{5} + \frac{9}{25}$

$step \: 5 = > (x - \frac{3}{5} ) ^{2} = \frac{19}{25}$

$x - \frac{3}{5} = + - \sqrt{ \frac{19}{25} }$

$x = \frac{3}{5} + \sqrt{ \frac{19}{5} } or \: x = \frac{3}{5} - \sqrt{ \frac{19}{5} }$

Answer:

$x = \frac{3 + \sqrt{19} }{5} or \: x = \frac{3 - \sqrt{19} }{5}$

☠︎ Ok bro ☠︎