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leonid [27]
3 years ago
14

Find the value of x^2+1/x^2 if x-1/x=root 3.

Mathematics
1 answer:
daser333 [38]3 years ago
8 0

Observe that


\left(x-\frac{1}{x}\right)^2 = x^2 + \frac{1}{x^2} - 2


but since \x-\frac{1}{x} = \sqrt{3}, we can rewrite it as


(\sqrt{3})^2 = x^2+\frac{1}{x^2}-2 \iff x^2+\frac{1}{x^2} = 3+2 = 5


So, the answer is 5

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7 0
3 years ago
1 - 10x = 81 <br> Value of X?
igomit [66]

x = -8

Step-by-step explanation:

Step 1: Subtract 1 from both sides

1 - 10x - 1 = 81 - 1 \\  - 10x = 80

Divide both sides of the equation by -10

\frac{ - 10x}{ - 10}  =  \frac{80}{ - 10}  \\  \\ x =  - 8

4 0
3 years ago
Read 2 more answers
Like terms that have the same __________, with each variable raised to the same exponent.
fenix001 [56]
From the given options, the correct word that comes in the blank is variables.
Because l<span>ike terms are the terms that have the same variables with each variable raised to the same exponent. 
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3 0
3 years ago
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On any given day, the number of users, u, that access a certain website can be represented by the inequality 125-4530
Masteriza [31]

Answer:

Step-by-step explanation:

Our inequality is |125-u| ≤ 30. Let's separate this into two. Assuming that (125-u) is positive, we have 125-u ≤ 30, and if we assume that it's negative, we'd have -(125-u)≤30, or u-125≤30.

Therefore, we now have two inequalities to solve for:

125-u ≤ 30

u-125≤30

For the first one, we can subtract 125 and add u to both sides, resulting in

0 ≤ u-95, or 95≤u. Therefore, that is our first inequality.

The second one can be figured out by adding 125 to both sides, so u ≤ 155.

Remember that we took these two inequalities from an absolute value -- as a result, they BOTH must be true in order for the original inequality to be true. Therefore,

u ≥ 95

and

u ≤ 155

combine to be

95 ≤ u ≤ 155, or the 4th option

4 0
3 years ago
Which statement is true about the expression?
zysi [14]

Answer:

Your number is (3 sqrt(2)) / sqrt(2) = 3, and is a rational number indeed. I don't know exactly how to interpret the rest of the question. If r is a positive rational number and p is some positive real number, then sqrt(r^2 p) / sqrt(p) is always rational, being equal r. Possibly your question refers to situtions in which sqrt(c) is not uniquely determined, as for c negative real number or complex non-real number. In those situations a discussion is necessary. Also, in general expressions the discussion is necesary, because the denominator must be different from 0, and so on.

Step-by-step explanation:

7 0
3 years ago
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