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
OlgaM077 [116]
3 years ago
12

Which equation has the solutions x = (5 +- 2 \sqrt(7))/(3)?

Mathematics
2 answers:
asambeis [7]3 years ago
8 0
Recall the formula to find the solutions for an equation ax² + bx + c:
x₁₂ = (- b +/- √(b²-4ac) )/ 2a

Since at the denominator of our solution we have 3, which is an odd number, therefore it cannot be 2a, but only a, we should use the formula:

x₁₂ = <span>(-β +/- √(β²-ac) )/ a

Where </span>β = b/2

Hence, the only options that have an even number as b coefficient are C and D.

Now, we need to find what values give √(β² - ac) = 2√7 = √(4·7) = √28:

C) √(β² - ac) = √(25 - 3·6) = √7
D) √(β² - ac) = <span>√(25 - 3·(-1))</span> = √28

Hence, the correct answer is D) 3x² - 10x - 1 = 0
S_A_V [24]3 years ago
6 0

Answer:D

Step-by-step explanation:

You might be interested in
A piece of art weighing 30 pounds is hung from two wires as shown below. Each wire is supporting half of the weight of the pictu
fredd [130]

Answer:

30 pounds + 15 pounds is 45 pounds is your total force

5 0
3 years ago
Given f(x) = -3x - 1, solve for f(x)= -4​
Nikitich [7]

Answer:

its 11

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Elena made 10 ounces of apple chips. She puts the same amount of apple chips into each of 4 containers. How many ounces of apple
KiRa [710]

Answer:

2.5 ounces

Step-by-step explanation:

10 divided by 4 is 2.5

7 0
3 years ago
Jane bought 12 mangoes for $600 how many mangoes can she buy with $1000​
Ghella [55]

Answer:

20 mangos

Step-by-step explanation:

1. Divide $600 by 12. Your answer should be $50. This means that every mango costs $50.

2. You now need to solve the expression: 1000 ÷ 50 which equals 20. This means that with $1000 Jane can buy 20 mangos.

3 0
2 years ago
Three points are colinear.<br> always<br> sometimes <br> never
Novosadov [1.4K]
Three or more points are collinear, if slope of any two pairs of points is same. With three points A, B and C, three pairs of points can be formed, they are: AB, BC and AC. If Slope of AB = slope of BC = slope of AC, then A, B and C are collinear points
6 0
3 years ago
Other questions:
  • The length of a rectangle is 16 inches, and it's area is (32x + 48) square inches. Factor the expression for the area. Write an
    5·1 answer
  • V(t)=125t^2-3000t+22000
    9·1 answer
  • HELP!!!<br> Completing the plot
    12·1 answer
  • A recipe calls for 40 ounces of rice how many grams does the recipe require (one of the answers up there)
    15·1 answer
  • A graph titled Fast Freddy has time (minutes) on the x-axis and Distance (miles) on the y-axis. A line goes through points (0, 0
    8·3 answers
  • The money in Mrs.Finch's savings account earning 1.45% interest.Which number is below greater than 1.45%
    13·2 answers
  • You are going to sell your Samsung so you can get the new iPhone. You purchased your Samsung 2 years ago for $200. It's
    14·2 answers
  • 1 . Josie is taking a family vacation and she had to do a last minute grocery shop for the trip. She needs to buy graham cracker
    8·1 answer
  • <img src="https://tex.z-dn.net/?f=2a%20-%204%20%5C2a%20%5Cdiv%20a%20-%202%20%5C3%20" id="TexFormula1" title="2a - 4 \2a \div a -
    8·2 answers
  • Factor Completely 2x^3 + x^2 - 18x - 9.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!