Asked by Rayni

What number must be placed in the blank below so that the resulting quadratic is the square of a binomial:
x^2 - 36x + __
Answered by Steve
recall that (a+b)^2 = a^2 + 2ab + b^2
You have a^2 = x^2 so a=1
2ab = -36x
So, b = -18

x^2 - 36x + 324 = (x-18)^2
Answered by Rayni
Thank you!
Answered by Henry
c = (b/2)^2 = (-36/2)^2 = 324.
x^2 - 36x + 324 = (x-18)^2.






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