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Anvisha [2.4K]
3 years ago
5

If x=3+2root2,find the value of xsquare+1/xsquare​

Mathematics
1 answer:
shutvik [7]3 years ago
4 0

Answer:

34.

Step-by-step explanation:

x = 3 + 2√2

x^2 = (3+2√)^2

=  9 + 8 + 12√2

= 17 + 12√2

x^2 + 1 /x^2

= (17 + 12√2)^2 +  (1 / (17 + 12√2)

= 34.

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(81/16)1/4 +(81/16)0<br>​
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Step-by-step explanation:

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3 years ago
What quadrant is (6,-8) in
Oliga [24]

Answer:

quadrant 2

Step-by-step explanation:

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3 0
3 years ago
what is the 18th term in an arithmetic sequence with the first term equal to 6 and the constant difference equalto 17?​
Vinil7 [7]

Answer: The 18th term is 295.

Step-by-step explanation: By using the arithmetic sequence formula:

a(n): nth term

a(1): first term

n: term position

d: common/constant difference

a(n) = a(1) + (n - 1)d

You should get an equation of a(n) = 6+(18 - 1)17. By following the order of operations, you should receive an 18th term of 295.

7 0
3 years ago
Determine whether the sequence converges or diverges. If it converges, find the limit. [Hint:
Zepler [3.9K]

(a) converges; consider the function <em>f(x)</em> = <em>a</em> ˣ, which converges to 0 as <em>x</em> gets large for |<em>a</em> | < 1. Then the limit is 2.

(b) converges; we have

4ⁿ / (1 + 9ⁿ) = (4ⁿ/9ⁿ) / (1/9ⁿ + 9ⁿ/9ⁿ) = (4/9)ⁿ × 1/(1/9ⁿ + 1)

As <em>n</em> gets large, the exponential terms vanish; both (4/9)ⁿ → 0 and 1/9ⁿ → 0, so the limit is 1.

(c) converges; we know ln(<em>n</em> ) → ∞ and arctan(<em>n</em> ) → <em>π</em>/2 as <em>n</em> → ∞. So the limit is <em>π</em>/2.

6 0
3 years ago
The hypotenuse of a right triangle is 13ft long. The shorter leg is 7ft shorter than the longer leg. Find the side lengths of th
Alla [95]
The short leg is 7ft and the longer leg in 14, i believe because if im not mistaken the long leg in a right triangle is 2 times the short one
6 0
3 years ago
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