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coldgirl [10]
3 years ago
5

X^4-10x^2+21=0 factor using quadratic techniques

Mathematics
2 answers:
Yuki888 [10]3 years ago
8 0

Answer:

(x - sqrt(7))(x + sqrt(7))(x - sqrt(3))(x + sqrt(3))

Step-by-step explanation:

x⁴ - 10x² + 21 = 0

Let t = x²

Then the equation becomes,

t² - 10t + 21 = 0

t² - 7t - 3t + 21 = 0

t(t - 7) -3(t - 7l

(t - 7)(t - 3)

Since t = x²,

(x² - 7)(x² - 3)

Using a² - b² = (a - b)(a + b)

(x - sqrt(7))(x + sqrt(7))(x - sqrt(3))(x + sqrt(3))

sqrt : square root

x = +/- sqrt(7) & +/- sqrt(3)

storchak [24]3 years ago
5 0

Answer:

Step-by-step explanation:

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Alvarez has $650 deposited into his bank account. The account earns simple interest of 5. 5% per year. No other money is added o
Elena-2011 [213]

Answer:

  $793

Step-by-step explanation:

The amount of money in an account earning simple interest is given by the formula ...

  A = P(1 +rt)

where P is the principal invested at rate r for t years.

__

Using the values given in the problem statement, the account balance can be found to be ...

  A = $650(1 +0.055×4) = $650×1.22 = $793

There will be $793 in the account after 4 years.

4 0
2 years ago
Find the dimensions of a deck which will have railings on only three sides. There is 28 m of railing available and the deck must
Roman55 [17]

Answer:

The largest possible area of the deck is 87.11 m² with dimensions;

Width = 9.33 m

Breadth = 9.33 m

Step-by-step explanation:

The area of a given dimension increases as the dimension covers more equidistant dimension from the center, which gives the quadrilateral with largest dimension being that of a square

Given that the railings will be placed on three sides only and the third side will cornered or left open, such that the given length of railing can be shared into three rather than four to increase the area

The length of the given railing = 28 m

The sides of the formed square area by sharing the railing into three while the fourth side is left open are then equal to 28/3 each

The area of a square of side s = s²

The largest possible area of the deck = (28/3)² = 784/9 = 87.11 m² with dimensions;

Width = 28/3 m = 9.33 m

Breadth = 28/3 m = 9.33 m.

5 0
3 years ago
–10 = –6 + 2c <br><br><br><br> –8<br><br><br> 1<br><br><br> –2<br><br><br> 2
guapka [62]

–10 = –6 + 2c

+ 6     + 6          Add 6 to cancel out -6

-4 = 2c

/2    /2              Divide by 2 to get c variable alone

-2 = c               Choice C is the correct answer

6 0
3 years ago
Naila wants to use the Babylonian method to estimate the root of 58 to the neatest hundredth. Her initial estimate is 7.8. What
Zepler [3.9K]
The answer is 7.61, you could've found the answer for this if you used a calculator.
4 0
3 years ago
Read 2 more answers
I need help plzzzz!!!!!!!
svp [43]

Answer:

-8x² - 6

Step-by-step explanation:

-1 + 2 will give us "+1"

+1 - 7 will give us "-6"

The answers given already are correct as they are properly matched, so we are left with the following to complete:

Thus,

-4y³ + 4y³ will give us "0".

We would be left with:

-3x² - 6 - 5x²

Collect like terms again

-3x² - 5x² - 6

-3x² - 5x² will give us "-8x²"

Final result would be:

-8x² - 6

3 0
3 years ago
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