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
Solve for B.<br> R = x(A+B)
Aleonysh [2.5K]
Work:
Solve for B
R=x (A+B)
distribute
R=Ax+Bx
-Ax both sides
R-Ax=Bx
÷x both sides
(R-Ax)/x=B
Answer: B=(R-Ax)x or B= (R/x)-A
Check your work:
Plug in B
R=x (A+(R-Ax)/x)
R=x (A+R/x-A)
R=x (R/x)
R=R

Answer is correct
6 0
3 years ago
Help me asap 10 points
yarga [219]

Answer:

domain 22 range 43 .....

8 0
2 years ago
The perimeter of a rectangle is 28.8 centimeters. The length of the rectangle is twice as long as it’s with. Find the length and
Mazyrski [523]

Answer:

Length=9.6 cm\\\\Width=4.8 cm

Step-by-step explanation:

Length=2*Width

L=2*W

Perimeter=28.8 cm

Perimeter of a rectangle= 2(Length+Width)

28.8=2(2W+W)\\\\28.8=2(3W)\\\\3W=28.8/2\\\\3W=14.4\\\\W=14.4/3\\\\W=4.8 cm\\\\

Length=2*Width\\\\=2*4.8\\\\=9.6 cm\\\\

Length=9.6 cm\\\\Width=4.8 cm

6 0
2 years ago
Read 2 more answers
To the nearest cubic​ centimeter, what is the volume of the regular hexagonal​ prism? 3 cm 8 cm 2.6 cm The volume of the regular
blagie [28]
Divide multiple 478 by c to max
4 0
3 years ago
What is the percent of 16/25
Lelechka [254]
16/25 = 0.64 = 64%

Another way to do it is to multiply top and bottom by 4
16/25 = (16*4)/(25*4) = 64/100 = 64%

Either way, the answer is 64%
7 0
3 years ago
Read 2 more answers
Other questions:
  • ASAP Mario was given the following enlargement. Side A corresponds to a side with length 24 centimeters. A side with length 6 ce
    5·2 answers
  • Twenty-five cards are numbered from 1 to 25 and placed in a box. One card is selected at random and not replaced. Another card i
    15·1 answer
  • Each student needs 4 stencils and 6 colored pencils for a project. If a class uses 27 colored pencils for the project, how many
    8·2 answers
  • HELP!! HARDEST QUESTION EVER WILL MARK BRAINLIEST!
    15·2 answers
  • The surface area of a cube is 78 in2 . What is the volume of the cube?
    15·1 answer
  • After a discount of 20 %, Marjorie paid $ 180 for a dress. The original price of the dress was​
    7·1 answer
  • Which of the following is the solution to this system of equations?
    10·1 answer
  • I don't know how to evaluate an algebraic expression. How can I evaluate an algebraic expression?
    9·1 answer
  • A bag contains 5 red marbles, 6 white marbles, and 5 blue marbles. A marble is selected at random from a bag. Find P(red).
    15·1 answer
  • Please help!!!!!!!!!!!!!!!!!!!!!!
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!