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
Deffense [45]
2 years ago
13

Solve for x if sqrt (3x-8) + 1 = sqrt (x+5)

Mathematics
1 answer:
In-s [12.5K]2 years ago
5 0

The solution of x in the given expression \mathbf{\sqrt{(3x-8)}+1 = \sqrt{(x+5)}} is 4. However, if it is \mathbf{\sqrt{(3x-8)+1} = \sqrt{(x+5)}}, it is 6.

<h3>What is the solution to algebraic expression?</h3>

The solution to the given algebra expression involving surds can be seen in the steps below.

Given that:

\mathbf{\sqrt{(3x-8)}+1 = \sqrt{(x+5)}}

Remove the square roots, we have:

12x - 32 = 4x² - 48x + 144

Solving the quadratic equation at the RHS and equating it to LHS, we have:

x = 11, x = 4

Verifying the solutions by replacing the value of x with the given equation:

  • x = 11 False
  • x = 4 True

Therefore, we can conclude that the value of x = 4

NOTE:

Given that:

\mathbf{\sqrt{(3x-8+1)} = \sqrt{(x+5)}}

Square both sides

3x - 7 = x +5

Solve for x

3x - x = 5 + 7

2x = 12

x = 6

Learn more about solving to algebraic expressions here:

brainly.com/question/4344214

#SPJ1

You might be interested in
What is the gradient of the graph shown? <br><br> Give your answer in its simplest form.
harina [27]

1/3

Step-by-step explanation:

I used the points (0,2) and (-6,0). I hope this helps!

6 0
2 years ago
Select the correct answer.<br> Which function is the inverse of function<br> f(x) = -2
Artemon [7]

Answer:

B

Step-by-step explanation:

let f(x) = y and rearrange making x the subject

y = \frac{x+2}{7} ( multiply both sides by 7 to clear the fraction )

7y = x + 2 ( subtract 2 from both sides )

7y - 2 = x

Change y back into terms of x with x the inverse function, that is

p(x) = 7x - 2

8 0
2 years ago
Read 2 more answers
Using the order of Operations, find the soultion. Evaluate the Expression 17 + 32 - 5 x 4
Ludmilka [50]

Answer:

19

Step-by-step explanation:

49 - 20

19

hope it helps u

5 0
2 years ago
Read 2 more answers
Eli is exploring a career choices. After randomly surveying 40 companies,he determines that the annual median salary for a compu
nata0808 [166]

Answer:

The answer is A 50% of computer technicians earn more than $72,000 annually.             Step-by-step explanation:

dont have 1 i cheated

6 0
2 years ago
Read 2 more answers
Which of these is a correct step in constructing an angle bisector? (6
Phoenix [80]
Answer is D, use a straightedge to draw arces which intersect at a point
6 0
1 year ago
Other questions:
  • Simplify.<br><br> 6^2+3^2????
    11·2 answers
  • A fur pillow costs $50 and sells for $80. What is the rate of markup based on the selling price?
    12·1 answer
  • MAD of 16, 13, 22, 15, 20, 21, 19
    10·1 answer
  • Which of the following is 7/18 closest to? <br> 1/2<br> 0<br> 1
    9·2 answers
  • By the third day of a particular week, 2 accidents have already occurred in the intersection. What is the probability that there
    15·1 answer
  • Susan has a piggy bank with 28 coins in it, all dimes and quarters. She has been collecting state quarters and so far has no rep
    10·1 answer
  • Write the following statement in its If-Then form.<br> A polygon with four sides is a quadrilateral.
    5·1 answer
  • What is the value of X?
    14·1 answer
  • Is it true or false??
    8·1 answer
  • Rounded to the nearest tenth, approximately how many kilometers is 4,170,000 inches?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!