Find the discriminant, describe the types of roots, and find the solution for 3x^2-24x+12

1 answer:

4 0

The discriminant of a polynomial is given by:
b ^ 2-4ac
Substituting the values we have:
(-24) ^ 2-4 * (3) * (12) = 432
Since the discriminator is greater than zero, then the roots are real.
x = (- b +/- root (b ^ 2-4ac)) / (2a)
Substituting the values:
x = (- (- 24) +/- root (432) / (2 * (3))
x = (- (- 24) +/- root (432) / (2 * (3))
x = (- (- 24) +/- root (144 * 3) / (2 * (3))
x = (24 +/- 12raiz (3) / (6)
x = 4 +/- 2raiz (3)
The roots are:
x1 = 4 + 2raiz (3)
x2 = 4 - 2raiz (3)
Answer:
432
the roots are real.
x1 = 4 + 2raiz (3)
x2 = 4 - 2raiz (3)

You might be interested in

Roberto must make his costume for his school play. He needs a piece of fabric that is 2 2/3 yards long and 1 1/2 yards wide. Wha

erik [133]

Answer:

He will need 8.34 yards of fabric.

Step-by-step explanation:

Given that,

The length of the fabric, l = 2 2/3 yards = 8/3 yards

The width of the fabric, b = 1 1/2 yards = 3/2 yards

We need to find the piece of fabric Roberto needs. It is equal to the perimeter of the fabric such that,

$P=2(l+b)\\\\P=2(\dfrac{8}{3}+\dfrac{3}{2})\\\\P=2\times \dfrac{25}{6}\\\\P=8.34\ \text{yards}$

So, he will need 8.34 yards of fabric.

7 0

3 years ago

Jessica was trying to determine if her friends that had a two story house also had a minivan. She surveyed her

Naddik [55]

The answer should be C

6 0

3 years ago

Read 2 more answers

I scream for ice cream sells specialty ice cream in three flavors: rocky road, peanut butter, and fruity tooty. it sold 17,0

oksian1 [2.3K]

---------------------------------------------------------------------
Find Sales Price of 5 gallons of ice-cream:
---------------------------------------------------------------------
Sales price of Fruity Tooty = $6.00
Sales price of Peanut Butter = $5 x 2 = $10.00
Sales price of Rocky Road = $5.25 x 2 = $10.50
Total Sales Per 5 gallon = $6 + $10 + $10.50 = $26.50

---------------------------------------------------------------------
Find Variable Cost of 5 gallons of ice-cream:
---------------------------------------------------------------------
Variable Cost of Fruit Tooty = $5.25
Variable Cost of Peanut Butter = $4.50 x 2 = $9.00
Variable Cost of Rocky Road = $4 x 2 = $8.00
Total Variable Coast = $5.25 + $9 + $8 = $22.25

---------------------------------------------------------------------
Fixed Cost Given:
---------------------------------------------------------------------
Fixed Cost = $7500

---------------------------------------------------------------------
Define x:
---------------------------------------------------------------------
Let x be the number of 5 gallons that need to be sold to breakeven:

---------------------------------------------------------------------
Find x:
---------------------------------------------------------------------
26.50x = 7500 + 22.25x

26.50x - 22.25x = 7500

4.25x = 7500

x = 7500 ÷ 4.25

x = 1764.7 (Nearest tenth)

---------------------------------------------------------------------
Find the number of gallons of ice-cream needed:
---------------------------------------------------------------------
Total number of 5 gallons needed = 1764.7

Total gallons needed = 1764.7 x 5 =8823.5

---------------------------------------------------------------------
Answer: I sceam needs to sell 8823.5 gallons of ice cream to break even.
---------------------------------------------------------------------

8 0

3 years ago

1) 14 units2 2) 16 units2 3) 17 units2 4) 19 units2

horrorfan [7]

Answer:

<h2>4th option: 19 units2 </h2>

Step-by-step explanation:

<h3>The given figure can be divided as (i) upper rectangle, (ii) lower rectangle </h3>

Then,

(i) Breadth of upper rectangle = 2 units

Length of upper rectangle = 8 - 1 = 7 units

Therefore, 