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kaheart [24]
3 years ago
12

Obtain all zeros of x^4-7x^2+12, if two numbers of its zeros are √3 and -√3

Mathematics
1 answer:
iogann1982 [59]3 years ago
4 0

Answer:

Step-by-step explanation:

x^2=u

u^2-7u+12=0

(u-3)(u-4)=0

u=3,4

x^2=3,4

x^2=3                                    

x = ±√3

x^2 = 4

x=±2

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Solve please. Correctly<br> 3(1 - 2a) = -3a - 18
True [87]

Answer:

a = 7

Step-by-step explanation:

3(1 - 2a) = -3a - 18

3 - 6a = - 3a - 18

Add 18 to each side:

3 + 18 - 6a = - 3a - 18 + 18

21 - 6a = - 3a

Add 6a to each side:

21 - 6a + 6a = - 3a + 6a

21 = 3a

3a = 21

Divide each side by 3:

3a ÷ 3 = 21 ÷ 3

a = 7

6 0
3 years ago
How many different whole numbers will divide into 168 without a remainder
Fiesta28 [93]

Answer:

16

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

3 0
3 years ago
Which line has the equation 2x - 3y = 6?<br> (Please explain how you got your answer)
notsponge [240]
First, isolate y:
2x - 3y = 6
-3y = -2x + 6
3y = 2x - 6
y = 2/3x - 2
That means that the line passes through the point (0, -2) and has a positive slope of 2/3. So it would be choice A because the line in choice A passes through the point (1, -2) and has a positive slope. Choice D also passes through the point (0, -2) but has a negative slope so it cannot be the correct answer.
Choice A is correct.
3 0
4 years ago
Solve the following system of equations. Write each of your answers as a fraction reduced to lowest terms. In other words, write
morpeh [17]

Answer:

x = 57/28

y = -95/84

z = 97/168

Step-by-step explanation:

Use the application in the next link: https://www.zweigmedia.com/RealWorld/tutorialsf1/scriptpivotold.html

Start with the expanded array:

\left[\begin{array}{cccc}1&5&8&1\\3&2&2&5\\-2&-7&2&5\\\end{array}\right]

then using the tool provided, make row operations until you find the solution:

r2 = r2-3r1

\left[\begin{array}{cccc}1&5&8&1\\0&-13&-22&2\\-2&-7&2&5\\\end{array}\right]

r3 = r3+2r1

\left[\begin{array}{cccc}1&5&8&1\\0&-13&-22&2\\0&3&18&7\\\end{array}\right]

r2 = r2*(-1/13)

\left[\begin{array}{cccc}1&5&8&1\\0&1&22/13&-2/13\\0&3&18&7\\\end{array}\right]

r1 = r1- r2*5

\left[\begin{array}{cccc}1&0&-6/13&23/13\\0&1&22/13&-2/13\\0&3&18&7\\\end{array}\right]

r3 = r3+ r2*-3

\left[\begin{array}{cccc}1&0&-6/13&23/13\\0&1&22/13&-2/13\\0&0&168/13&97/13\\\end{array}\right]

r3 = r3*13/168

\left[\begin{array}{cccc}1&0&-6/13&23/13\\0&1&22/13&-2/13\\0&0&1&97/168\\\end{array}\right]

r2 = r2- r3*22/13

\left[\begin{array}{cccc}1&0&-6/13&23/13\\0&1&0&-95/84\\0&0&1&97/168\\\end{array}\right]

r2 = r2+ r3*6/13

\left[\begin{array}{cccc}1&0&0&57/28\\0&1&0&-95/84\\0&0&1&97/168\\\end{array}\right]

Here you have a reduced array an therefore the answers to each variable are on each row:

\left[\begin{array}{c}x\\y\\z\end{array}\right]

8 0
3 years ago
Find cot theta if csc theta = <br><br>sqrt17/4 and tan theta &gt;0.​
Lorico [155]

Answer:

tan \theta = 4

Step-by-step explanation:

We know that

cosec \theta = \frac{hypotenuse }{opposite }

Given :

cosec \theta =\frac{\sqrt{17}}{4}\\

So 4 is the opposite side of theta.

tan \theta = \frac{opposite}{adjacent}

We use the Pythagorean theorem to find for the adjacent side.

a = \sqrt{17 - 4^2} = \sqrt{17-16} = 1

Therefore, \ tan \theta = \frac{4}{1} = 4

7 0
3 years ago
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