To complete the square, you want to add a number that will allow the number to be factored into terms of the form (x + ?)^2
For x^2 + x + ?:
For (x + ?)(x + ?), we want both ? to add up the 1 (the number in front of x), and since both ? have to be the same number, ? must equal 1/2 (1/2 + 1/2 = 1).
Multiplying this out:
(x + 1/2)^2
(x + 1/2)<span>(x + 1/2)
</span>x^2 + x + 1/4
Answer: x^2 + x + 1/4
For x^2 + 6x + ?:
For (x + ?)(x + ?)<span>, we want both ? to add up the 6 (the number in front of x), and since both ? have to be the same number, ? must equal 3 (3 + 3 = 6). </span>
Multiplying this out:
(x + 3)^2
(x + 3)<span>(x + 3)
</span>x^2 + 6x + 9
Answer: <span>x^2 + 6x + 9</span>
8 goes into 74 nine times but there is a remainder of 2
9 and a remainder of 2 or 9 and 1/4
Answer:
3x + 8
Step-by-step explanation:
