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
vfiekz [6]
3 years ago
7

What is the solution set of (3x - 1)^2 = 5? HEEEELLLLLLLLLLLPPPPPPPPP

Mathematics
2 answers:
djverab [1.8K]3 years ago
5 0

Answer:

The solution of the equation is x=\frac{1\pm\sqrt{5}}{3}

Step-by-step explanation:

Given : Equation (3x-1)^2=5

To find : What is the solution set of equation?

Solution :

Equation (3x-1)^2=5

Taking root both side,

\sqrt{(3x-1)^2}=\sqrt{5}

3x-1=\pm\sqrt{5}

Taking 3x-1=\sqrt{5}

3x=\sqrt{5}+1

x=\frac{\sqrt{5}+1}{3}

Taking 3x-1=-\sqrt{5}

3x=-\sqrt{5}+1

x=\frac{-\sqrt{5}+1}{3}

Therefore, the solution of the equation is x=\frac{1\pm\sqrt{5}}{3}

babunello [35]3 years ago
3 0

*I'll be keeping the solutions in exact form*

So firstly, square root both sides. This will split the equation into two:

3x-1=\sqrt{5} \\ 3x-1=-\sqrt{5}

Next, add 1 on each side: 3x=\sqrt{5}+1 \\ 3x=-\sqrt{5}+1

Next, divide 3 on both sides, and your answers will be x=\frac{\sqrt{5}+1}{3},\frac{-\sqrt{5}+1}{3}

You might be interested in
Callie has 2 cans of orange paint with 4.5 gallons in each can. She also has 910 of a gallon of black paint. Her brother took 0.
Solnce55 [7]

Answer:

The total amount of paint left is 1.6 gallon of paint remaining

Where she has:

1.5 gallon of orange paint left and 0.1 gallon of black paint left.

Step-by-step explanation:

Step 1

Callie has 2 cans of orange paint with 4.5 gallons in each can.

The total gallons of orange paint that she has is given as:

1 can = 4.5 gallons

2 cans = x gallons

Cross Multiply

x = 4.5 gallons × 2 cans

x = 9 gallons of orange paint.

She also has 9/10 of a gallon of black paint.

Her brother took 0.8 gallon of the black paint

and 3.75 gallons from each of the cans of orange paint.

Since there are 2 cans, the total gallons of orange paint that her brother took = 2 × 3.75 gallons

= 7.5 gallons

Step 2

For orange paint

The amount of orange paint that she has left = 9 gallons - 7.5 gallons

= 1.5 gallons of orange paint left.

For black paint

We are told that: She also has 9/10 of a gallon of black paint.

Converting to decimal

= 0.9 gallon of black paint.

Her brother took 0.8 gallon of the black paint

The total gallon of black paint that she has left =

0.9 gallon - 0.8 gallon

= 0.1 gallon of black paint left.

The total amount of paint Callie has remaining after her brother took the stated amounts is:

1.5 gallon of orange paint + 0.1 gallon of black paint = 1.6 gallon of paint remaining

4 0
3 years ago
Which of these questions can be answered with numbers?
Dmitrij [34]
The answer would be C.
4 0
3 years ago
Read 2 more answers
The perimeter of a semicircle is 15.42 kilometers. What is the semicircle's radius?
olya-2409 [2.1K]

Answer:

r = 4.9 km

Step-by-step explanation:

Perimeter of circle = πr

Where P=15.42 km , π = 3.14

15.42 = (3.14)(r)

r = 15.42 / 3.14

r = 4.9 km

4 0
3 years ago
A circle has a diameter with endpoints at –2 + i and –6 –11i. What is the center of the circle?
kotykmax [81]
Be more specific. Like what is it asking you to do ? I'm trying to help. :)
4 0
4 years ago
2.4/1.8=7.2/k <br> What does K equal
Furkat [3]

Answer:

k = 5.4

Step-by-step explanation:

I cross-multiplied then divided 12.96 by 2.4.

Can I get brainliest

7 0
3 years ago
Other questions:
  • When Richard works out, he spends 12 minutes doing cardio and 18 minutes doing resistance training. Cooper's workout consists of
    8·1 answer
  • You own Everything's Coming Up Roses flower shop. Your employee makes 4 deliveries per hour. The distance between the shop and t
    8·1 answer
  • 58.14 rounded to the nearest tenth
    13·2 answers
  • Statistics from Cornell's Northeast Regional Climate Center indicate that Ithaca, NY, gets an average of 35.4 inches of rain eac
    5·1 answer
  • I'll give brainliest if you show your work. Plz answer quickly in less than 45 minutes.
    14·2 answers
  • Three times a number equals 40 more than five times the number. What is the number
    7·1 answer
  • 7 + 2(1 + 6h) = -25<br>I need help pleasee<br>​
    8·1 answer
  • One year, the population of a city was 354,000. Several years later it was 407,100. Find the percent increase.
    8·2 answers
  • 2xy +1 = 1<br> solve for x
    5·2 answers
  • Please help they are separate questions please help me with this!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!