Answer:
2562 - 960√5/11
Step-by-step explanation:
We are given here the value of x as 4 - √5. We need to find the value of x² + 1/x² . So let's find out 1/x
⇒ x = 4 - √5
⇒ 1/x = 1/4-√5
⇒ 1/x = (4 + √5) / ( 4 - √5) ( 4 + √5 )
⇒ 1/x = 4 + √5 / 4² - (√5)²
- [ using (a+b)(a-b) = a² - b²]
⇒ 1/x = 4+√5 / 16 - 5
⇒ 1/x = 4+√5/11
⇒ x² + 1/x² = (4-√5)² + (4+√5)²/11²
⇒ x² + 1/x² = 121( 16 + 5 -8√5 ) + 16 + 5 + 8√5 / 121
⇒ x² + 1/x² = 1936 + 605 - 968√5 + 21 + 8√5 / 121
⇒ x² + 1/x² = 2562 - 960√5/11
Answer:
x=13
y=5
13-5=8
13+5=18
Step-by-step explanation:
Answer:
6>5
Step-by-step explanation:
I know it is true
Answer:
4
Step-by-step explanation:
The period is the length of one cycle.
By cycle, I mean the smallest piece that can be traced and copied over and over to form the whole graph. If you notice the graph starts at x=0 and the curve makes a complete cycle by x=4. The cycle starts over again at x=4 and ends at x=8. I hope you are seeing the graph looks exactly the same from x=0 to x=4 as x=4 to x=8.
The length of one cycle of this graph is 4.
Please let me know if you have further questions about this question.
Thank you.