Answer :

Take the coefficient of  x which is  20 and divide divide by two giving you   10 Now square that to get 100.

You would need to add 100 to both sides to complete the square.

To make given equation complete square, add 100 on both sides.

To understand more, check below explanation.

Quadratic equation:

If a quadratic equation [tex]x^{2} +bx+c=0[/tex] is given. Then, to make it  complete square add and subtract [tex](\frac{b}{2} )^{2}[/tex].

Given equation is,

                  [tex]x^{2} -20x=5[/tex]

To make complete square add both side [tex](\frac{20}{2} )^{2}=100[/tex]

                [tex]x^{2} -20x+100=5+100\\\\(x-10)^{2} =105[/tex]

Hence, to make given equation complete square, add 100 on both sides

Learn more about the complete square here:

https://brainly.com/question/24860429

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