1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
max2010maxim [7]
3 years ago
10

Find the zeros of the function and 2x² + 72=0

Mathematics
1 answer:
Natalija [7]3 years ago
6 0

Answer:

x = ± 6i

Step-by-step explanation:

Given

2x² + 72 = 0 ( subtract 72 from both sides )

2x² = - 72 ( divide both sides by 2 )

x² = - 36 ( take the square root of both sides )

x = ± \sqrt{-36}

  = ±( \sqrt{36(-1)})

  = ±( \sqrt{36} × \sqrt{-1}) → \sqrt{-1} = i

  = ± 6i

You might be interested in
If alpha and beta are the zeroes of the polynomial f(x)= xsquare -8x +gamma such that alpha - beta = 2 find the value of gamma.
Komok [63]

Answer:

Γ = 15

Step-by-step explanation:

Given

f(x) = x² - 8x + Γ

with a = 1, b = - 8 and c = Γ , then

sum of zeros α + β = - \frac{b}{a} = - \frac{-8}{1} = 8

product of zeros = αβ = \frac{c}{a} = Γ

Given α - β = 2 , then

(α - β)² = 2²

α² - 2αβ + β² = 4 → (1)

and

(α + β)² = 8²

α² + 2αβ + β² = 64 → (2)

Add (1) and (2) term by term

2α² + 2β² = 68 ( divide through by 2 )

α² +β² = 34

Substitute α² + β² = 34 into (1)

34 - 2αβ = 4 ( subtract 34 from both sides )

- 2αβ = - 30 ( divide both sides by - 2 )

αβ = 15

Now

αβ = Γ = 15

Thus

f(x) = x² - 8x + 15

4 0
3 years ago
Choose the function that represents the data in the table.
viva [34]

y = 2 {x}^{2}  - 3

\huge\underline\mathtt\colorbox{cyan}{Explanation thing:}

Using hit and trial, you van find it pretty easily-

  • Putting x=0, we get y=-3
  • Putting x=1, we get y=-1
  • Putting x=2, we get y=5

You can try it for yourself as well, for me, I couldn't find any other option appropriate.

4 0
2 years ago
4xi + 5yi^8+ 6xi^3 + 2yi^4
Ad libitum [116K]

Answer:

The correct answer is,

7y - 2ix

5 0
3 years ago
Write an expression of the verbal phrase: the quotient of twelve and the product of three times x
Nitella [24]
So basically you're dividing 12 by 3 times x which is 12 over 3x. 12/3x
6 0
3 years ago
A model rocket is launched with an initial velocity of 250 ft per second. The height h, in feet, of the rocket t seconds after t
diamong [38]

9514 1404 393

Answer:

  {2.96, 12.66}

Step-by-step explanation:

A graph shows the rocket will be 600 feet up after 2.96 seconds, and again at 12.66 seconds.

__

You can solve the equation h = 600 to find the times.

  -16t^2 +250t = 600

  -16(t^2 -15.625t) = 600

  -16(t^2 -15.625t +7.8125²) = 600 -16(7.8125²)

  -16(t -7.8125)² = -376.5625

  t -7.8125 = √(376.5625/16) ≈ ±4.8513

  t = 7.8125 ± 4.8513 ≈ {2.9612, 12.6638}

The rocket will be 600 ft above the ground 2.96 and 12.66 seconds after launch.

4 0
3 years ago
Other questions:
  • Rectangle ABCD is dilated to create rectangle A'B'C'D' . The width of rectangle ABCD is 12 feet. The width of rectangle A'B'C'D'
    7·2 answers
  • you rent a canoe for 5$ per hour.Your cost before the tax is added is 12.50. write and solve an equation to find the total numbe
    7·1 answer
  • Two BLARBs equal one BLABB. Three BLABBs equal ten BLALBs, and one BLALB equals two BABs. How many BABs equal 6 BLARBs?
    5·1 answer
  • The area of the trapezoid shown below is equal to 270 square units. Find its perimeter and round your answer to the nearest unit
    13·1 answer
  • Can someone help me with this and show me the steps if you don't mind
    13·2 answers
  • Can someone please help me with this one, i would appreciate it if you can explain it to me if not then that’s okay
    10·1 answer
  • Which expression is equivalent to<br> 25a7b"?
    10·1 answer
  • A/4 − 5/6 = −1/2. Solve the equation.
    9·2 answers
  • The cardboard box below is used by a company to package new laptops of the company plans to increase the length of the Box by 2i
    7·1 answer
  • The equivalent matrices are <br> .
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!