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Harlamova29_29 [7]
3 years ago
11

Can i get some help. hate homework

Mathematics
1 answer:
omeli [17]3 years ago
5 0
If a sequence is defined recursively by f(0)=2and f(n+1)=-2f(n)+3 for n> 0 then f(2) is equal to what
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Complete the square x^2-10=16<br><br>​
Hatshy [7]

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(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

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- 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

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∴ 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

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∴ (x - 5)² = 41

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3 years ago
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