Answer:
(x - 5)² = 41
Step-by-step explanation:
* Lets revise the completing square form
- the form x² ± bx + c is a completing square if it can be put in the form
(x ± h)² , where b = 2h and c = h²
# The completing square is x² ± bx + c = (x ± h)²
# Remember c must be positive because it is = h²
* Lets use this form to solve the problem
∵ x² - 10x = 16
- Lets equate 2h by -10
∵ 2h = -10 ⇒ divide both sides by 2
∴ h = -5
∴ h² = (-5)² = 25
∵ c = h²
∴ c = 25
- The completing square is x² - 10x + 25
∵ The equation is x² - 10x = 16
- We will add 25 and subtract 25 to the equation to make the
completing square without change the terms of the equation
∴ x² - 10x + 25 - 25 = 16
∴ (x² - 10x + 25) - 25 = 16 ⇒ add 25 to both sides
∴ (x² - 10x + 25) = 41
* Use the rule of the completing square above
- Let (x² - 10x + 25) = (x - 5)²
∴ (x - 5)² = 41
Answer:
1
Step-by-step explanation:
36 - 30 - 5
6 - 5
1
So for this, we can simplify √63 as such:
Using the simplified version of √63, we can solve it:
Zero is your final answer.
Answer:
It's D
Step-by-step explanation:
2t - 30(
) = 20
2t - 
() = 20
2t - 
= 20
2t - 6 = 20
2t - 6 + 6 = 20 +6
2t = 26
= 
t = 13
Answer:
D. 804.2
Step-by-step explanation:
The area equation is πr^2 so
16^2 = 256
256 × π (or 3.14) = 803.84
which is ≈ 804.2
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