275,531 views
45 votes
45 votes
fill in the blank with a number to make the expression a perfect square. type only a numberw^2 - 12w=

User Cinthiaro
by
2.6k points

1 Answer

7 votes
7 votes

We will solve as follows:


w^2-12w+\alpha=0

Here alpha is the blank space, we then will solve by factoring:


(w+b)(w+c)=w^2-12w+\alpha

*Two numbers that added equal -12 can be -10 and -2 and when multiplied they equal to 20, then we will have that alpha will be equal to:


w^2-12w+20=0

Then, the final expression is:


w^2-12w=-20