Answer:
[tex](x-12)^2[/tex] & [tex] 144[/tex]
Step-by-step explanation:
The Equation given to us is ,
[tex]\implies x^2 -24x + \cdots [/tex]
Here we need to find the value of the blank such that it is a perfect square.
This can be in the form of ,
[tex]\implies (a-b)^2 = a^2+b^2-2ab [/tex]
On looking at equation ,
[tex]\implies x^2 -2(12)x + \cdots [/tex]
For the whole equation to be whole square , the number that should replace the blank is 12² .
[tex]\implies x^2 -2(12)x + 12^2\\\\\implies (x-12)^2[/tex]
Therefore 144 should be added .
