Answer:
x² - 9x + 14 by completing the square is (x - 9/2)² - 25/4
Step-by-step explanation:
Given x² - 9x + 14
To rewrite by completing the square, we need to write this in the form (a + b)² or (a - b)² without changing the value of the expression.
(a + b)² = a² + 2ab + b² (equation 1)
(a - b)² = a² - 2ab + b² (equation 2)
x² - 9x + 14 = x² - 2(x)(9/2) + (9/2)² - 25/4 (equation 3)
Comparing (equation 3) with (equation 1) and (equation 2), we can see that it takes the form of (equation 1), though, surplus of 25/4, where a = x, and b = 9/2.
So
x² - 2(x)(9/2) + (9/2)² = x² - 2(x)(9/2) + 81/4 = (x - 9/2)²
Which means
x² - 9x + 14
= x² - 2(x)(9/2) + 81/4 - 25/4
= x² - 2(x)(9/2) + (9/2)² - 25/4
= (x - 9/2)² - 25/4
And the square is completed.
Answer:
Step-by-step explanation:
1. division to multiplication 4r
2. subtraction to addition m+15
3. division to multiplication 21/k or k/21
4. subtraction to addition m-16 or 16-m
5 multiplication to division 17/g or g/17
6 subtraction to addition p+24
Step-by-step explanation:
(2b-3)/(b-2)(b+2) = 3b(b-2)/(b+2)(b-2)
2b²+4b-3b-6/b²-4=3b²-6b/b²-4
2b²+b- 6= 3b²-6b
move square to square unknown to unknown
-b²+7b-6/b²-4
i also dk this is true or false
Answer:
See attachment.
Step-by-step explanation:
See attachments.
