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
worty [1.4K]
3 years ago
12

After eliminating radicals, what quadratic equation can you solve to find the potential solutions of sqrt 2x+3 - sqrt x+1 = 1

Mathematics
2 answers:
timofeeve [1]3 years ago
5 0

Answer:

Quadratic Equation:  x²-2x-3 = 0

Solutions (Next Question): (3, -1)

Step-by-step explanation:

Absor201 is correct! (look at the BOLDED text in their answer)

aniked [119]3 years ago
3 0

Answer:

Step-by-step explanation:

We have given:

√2x+3 - √x+1  = 1

First of all isolate the square root of the left hand side:

√2x+3 = √x+1 +1

Now take square on both sides.

(√2x+3)^2 = (√x+1 +1)^2

Open the R.H.S by squaring formula.

∴(a+b)^2 = a^2+2ab+b^2

2x+3 = (√x+1)^2 + 2(√x+1)(1)+(1)^2

2x+3 = x+1 +2√x+1 +1

2x+3 = x+2 +2√x+1

Combine the like terms:

2x-x+3-2 = 2√x+1

x+1 = 2√x+1

Take square on both sides

(x+1)^2 = (2√x+1)^2

x²+2x+1 = 4x+4

x²+2x-4x+1-4 = 0

x²-2x-3 = 0

Now solve the quadratic equation:

a = 1 , b= -2 , c = -3

x = -b+/-√b²-4ac/2a

x = -(-2)+/-√(-2)² - 4(1)(-3) / 2(1)

x = 2 +/- √4+12 / 2

x = 2+/- √16/2

x = 2+/- 4 /2

x = 2+4/2     , x = 2-4/2

x = 6/2      , x = -2/2

x = 3      , x = -1

The solutions we get is (3, -1).

You might be interested in
You own a townhome valued at $232,088, but still owe $165,111 on the loan. You also have $7,342 in savings and a balance of $2,1
olya-2409 [2.1K]

232088-165111+7342-2145-22260+31034=$89048

4 0
1 year ago
PLS HELP ME ASAP!!!!!!!!! ill give thanks, and five stars
docker41 [41]

Answer:

A

Step-by-step explanation:

The additive inverse property states that if we have a number a, then:

a+(-a)=0

Here, we have the equation:

2x=542

And we divide both sides by 2:

2x/2=542/2

To acquire:

x=271

So, we did <em>not</em> use the additive inverse property since we didn't add anything.

Instead, we used the<em> division property of equality</em> by dividing both sides by 2.

So, our answer is A.

And we're done!

7 0
3 years ago
Read 2 more answers
Please help me solve this !<br> will mark brainliest !<br> (spammers reported)
lions [1.4K]

Answer

-10

Step-by-step explanation:

-8w-7=9

add 7 to both sides

-8w=16

divide by negative 8 on both sides

w=-2

w-8=-10

3 0
3 years ago
Read 2 more answers
Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800. A researcher from the a
Doss [256]

Using the z-distribution, it is found that she should take a sample of 46 students.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

The margin of error is:

M = z\frac{\sigma}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • z is the critical value.
  • n is the sample size.
  • \sigma is the standard deviation for the population.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800, hence, by the Empirical Rule the standard deviation is found as follows:

6\sigma = 800 - 200

6\sigma = 600

\sigma = 100

The sample size is n when M = 29, hence:

M = z\frac{\sigma}{\sqrt{n}}

29 = 1.96\frac{100}{\sqrt{n}}

29\sqrt{n} = 196

\sqrt{n} = \frac{196}{29}

(\sqrt{n})^2 = \left(\frac{196}{29}\right)^2

n = 45.67.

Rounding up, a sample of 46 students should be taken.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

4 0
2 years ago
Complete the following equation using &lt;,&gt;,or =.57%_1
nata0808 [166]
0.57 is less than 1
4 0
3 years ago
Other questions:
  • Stephen got a new job through an employment agency. The job pays $41,236 per year. The agency fee is 15% of the first 5 weeks pa
    7·1 answer
  • How do I find the slant height of a square pyramid? The base length is 4 inches and the area of it is 136 square inches. Thank y
    6·1 answer
  • Which of the following statements is true about the number 30/2
    11·1 answer
  • The weight of and object on the moon, m, is about 1/6 of the object's weight on earth, e. Which equation represent the approxima
    7·1 answer
  • Mr. Marquis had a metal pipe that was 1,000 cm in length. He cut the pipe into 16 shorter pieces of equal length. How long was e
    13·2 answers
  • Which of the following is the factored form of the quadratic *
    7·1 answer
  • Picture `: what is the value of x?
    11·1 answer
  • HELP ME WITH MATH HOMEWORK
    9·2 answers
  • **i would appreciate it if someone helped! ** Here is a number pyramid puzzle.
    7·1 answer
  • A convenience store manager notices that sales of soft drinks are higher on hotter days, so he assembles the data in a table, sh
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!