Answer:
2x2−x2 2 x 2 - x 2. Subtract x2 x 2 from 2x2 2 x 2 . x2 x 2. 2x2−x2 2 x 2 - x 2. (. [. ([. ) ] )] |. |. √. √... > ≥. >≥.......... 7. 7. 8. 8. 9. 9.
Step-by-step explanation:
work it out dude
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
6²/2(3) +4
6²=36
2(3)=6
So now we have
36/6 + 4 which is 6 + 4 which is 10.
Since simple interest doesn't involve compounding, the same amount gets added on every year. So, the equation for the simple interest received is
, where
is the total interest,
is the original deposit (or "principal"),
is the interest rate, and
is the time passed in years.
Plugging in our values, we can solve for the interest rate:
x 20 - 2q40 = 8
x 20 - 2q40 = 8
- 2q40 = 8
= 1.018