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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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Given the equation: y = 3 (2x - 1) Complete the table of values. y - 1 0 9​
Schach [20]

Answer:

Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.

Step-by-step explanation:

5 0
3 years ago
A card is drawn from a​ well-shuffled deck of 52 cards. find the probability that the card is a red card or a 10.
harina [27]

Total number of cards = 52

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<u>Find total number of red card or a 10:</u>

Total number of cards that are red = 26

Total number of cards that are 10 but not red = 2

Total number of cards that are red card or 10 = 26 + 2 = 28

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P(red card or a 10) = 28/52 = 7/13

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Answer: 7/13

6 0
3 years ago
The magnitude and direction of two vectors are shown in the diagram. What is the magnitude of their
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The answer is 20

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5 0
3 years ago
Which number line shows the solution set for |p-3|=9?
Mademuasel [1]

Answer:

Option b

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Step-by-step explanation:

The absolute value is a function that transforms any value x into a positive number.

Therefore, for the function f(x) = |x|  x> 0 for all real numbers.

Then the equation:

|p-3| = 9 has two cases

(p-3) = 9    if h > 3  (i)

-(p-3) = 9    if h < 3 (ii)

We solve the case (i)

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We solve the case (ii)

-p +3 = 9\\p = 3-9\\p = -6

Then the solution is:

p = -6 or p = 12

3 0
3 years ago
Write an equation of the parallel to 5x-6y=10 through the point (-6,-1) show all work
ioda

5x-6y=10

-5x       -5x

-6y=-5x + 10

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y+1 = -5x - 30

 -1            -   1

y= -5x -31

5 0
4 years ago
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