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umka2103 [35]
2 years ago
7

Find one value of x that is a solution to the

Mathematics
1 answer:
maksim [4K]2 years ago
7 0

Answer: x = {+-sqrt(3), +-2*sqrt(3)}.

Step-by-step explanation:

(x^2 - 8)^2 + (x^2 - 8) = 20

▪︎ Let (x^2 - 8) be y.

Then,

y^2 + y = 20

y^2 + y - 20 = 0

D = b^2 - 4ac = 1 + 20*4 = 81 = 9^2

y1 = (-b - sqrt(D))/(2a) = (-1 - 9)/2 = -10/2 = -5

y2 = (-b + sqrt(D))/(2a) = (-1 + 9)/2 = 8/2 = 4

1) x^2 - 8 = -5

x^2 = 8 - 5

x^2 = 3

x = +-sqrt(3)

2) x^2 - 8 = 4

x^2 = 8 + 4

x^2 = 12

x = +-sqrt(12)

x = +-2*sqrt(3)

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I need help with number 1
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Cora new puppy gains weight at a rate of 2 pounds every 5 days. At this rate, how many days will it take for the puppy to gain 2
lidiya [134]

Answer:

62.5 days

Step-by-step explanation:

First, we have to divide 25 pounds by 2 pounds.

25 / 2 = 12.5

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What is the fraction 2/5 divided by 3/35?
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4 years ago
Which expression has the fewest significant figures?
yanalaym [24]

Hello!

Here are some rules to determine the number of significant figures.

  1. Numbers that are not zero are significant (45 - all are sigfigs)
  2. Zeros between non-zero digits are significant (3006 → all are sigfigs)
  3. Trailing zeros are not significant (0.067 → the first two zeros are not sigfigs)
  4. Trailing zeros after a decimal point are always significant (1.000 → all are sigfigs)
  5. Trailing zeros in a whole number are not significant (7800 → the last two zeros are not sigfigs)
  6. In scientific notation, the exponential digits are not significant, known as place holders (6.02 x 10² → 10² is not a sigfig)

Now, let's find the number of significant figures in each given number.

A). 296.54

Since these digits are all <em>non-zero</em>, there are 5 significant figures.

B). 5003.1

Since the two <em>zeros are between non-zero digits</em>, they are significant figures. Thus, there are 5 significant figures.

C). 360.01

Again, the two zeros are between non-zero digits. There are 5 significant figures.

D). 18.3

All of these digits are non-zero, hence, there are 3 significant figures.

Therefore, expression D has the fewest number of significant figures being 3.  

4 0
3 years ago
Read 2 more answers
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