how to take out the square root by completing the squares method

(a+b)

^{2}=a

^{2}+2ab+b

^{2}(or)

(a-b)

^{2}=a

^{2}-2ab+b

^{2}

I am providing two examples to undersatnd

Example -1:

find the roots of the equation x

^{2}- 8x -20 = 0 by the method of completing the square

Solution:

Example-2:

Solve the equation 5x^2 - 6x - 2 = 0 by the method of completing the square.

Solution:

**Given, ** 5x^{2} - 6x - 2 = 0

**
**