What number must be added to the expression below to complete the square x^2-x

Question

asked Oct 1, 2021 76.6k views

2 Answers

Shyam · Answer 1 · 2021-10-04T18:54:58+0000

Answer:

+1/4

Explanation:

We need a formula (a-b)^2=a^2-2ab+b^2

We have a=x and -2ab=x, so b=-1/2, then we add b^2 and it is 1/4.

(X^2-x+1/4)=(x-1/2)^2