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Stolb23 [73]
3 years ago
12

A quadratic equation is shown below: 3x^2 − 15x + 20 = 0 Part A: Describe the solution(s) to the equation by just determining th

e radicand. Show your work. Part B: Solve 3x^2 + 5x − 8 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used.
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
4 0
These are two questions and two answers:

Question 1:

<span>A quadratic equation is shown below: 3x^2 − 15x + 20 = 0 Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work.

Answer: </span><span>The negative value of the radicand means that the equation does not have real solutions.

Explanation:

1) With radicand the statement means the disciminant of the quadratic function.

2) The discriminant is: b² - 4ac, where a, b, and c are the coefficients of the quadratic equation: ax² + bx + c

3) Then, for 3x² - 15x + 20, a = 3, b = - 15, and c = 20

and the discriminant (radicand) is: (-15)² - 4(3)(20) = 225 - 240 = - 15.

4) The negative value of the radicand means that the equation does not have real solutions.

Question 2:

Part B: Solve 3x^2 + 5x − 8 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used.

Answer:
</span> two solutions x = 1 and x = - 8/3x

Explanation:

1) I choose factoring (you may use the quadratic formula if you prefer)

2) Factoring

Given: 3x² + 5x − 8 = 0

Make 5x = 8x - 3x: 3x² + 8x - 3x - 8 = 0

Group: (3x² - 3x) + (8x - 8) = 0

Common factors for each group: 3x(x -1) + 8(x - 1) = 0

Coomon factor x - 1: (x - 1) (3x + 8) = 0

The two solutions are for each factor equal to zero:

x - 1 = 0 ⇒ x = 1
3x + 8 = 0 ⇒ x = -8/3

Those are the two solutions. x = 1 and x = - 8/3
You might be interested in
How do you find the ratio of 2:5...
LuckyWell [14K]

Answer:

total number of parts of a 2:5 ratio are 7 as 2+5 = 7

let us assume are number to be 49

the first part will be 49/7 × 2 = 14

the second part will be 49/7 × 5 = 35

4 0
3 years ago
Someone please<br> help me
gizmo_the_mogwai [7]
(3/20)^3

27/8000

..............
8 0
4 years ago
So we’re doing these segment ratios things in my math period and I need help on problem two thank you!! :3
iragen [17]

Answer:


Step-by-step explanation:

There could be 2 3 4 6 or 12. You can use any number that divides evenly into 12. I don't think you can use 1 because the question says members. The next question is, do you include Sharon in the group (so she gives herself a share) and again I will answer yes. She has to get something out of the deal.

2: each member gets 3 red and 3 white. ( don't say 6 red and 6 white.)

3: Each member gets 4 in total 2 red and 2 white each

4: Each member gets 4 in total. This can be split 2 ways.

6: Each member gets 2 in total: 1 red and 1 white.

12: Each member gets 1. 6 get red and the others get white.


5 0
3 years ago
What is the answer for 1 + 2(p + 10
Harman [31]
2p + 21 is what it equals hope it helps and have a great day!
7 0
2 years ago
Please help me with this questions and please shoe your work. Thank you very much
Katena32 [7]
D
E
F


Work
So the answer to the original problem:
6-4.5 +(-8) equals -1.5
D,E,and F all yeild this answer.

Another way to do it is to simply rearrange the equation 

D:
6-4.5 +(-8)
6-4.5-8
your just removing the parenthesis and swapping the sign

E:
6+(-4.5) -8
is the exact same as
6-4.5 +(-8)
you're just moving the parenthesis

F:
This one you're just adding a parenthesis and flipping the of
6-4.5 +(-8)
which turns it into
6+(-4.5)+(-8)

Hope this helps!

6 0
3 years ago
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