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
Julli [10]
3 years ago
12

what is the solution of sqrt(2x+4)-sqrt(x)=2 A. x = 0 B. x = 0 and x = 16 C. x = 0 and x = –16 D. x = 16 and x = –16

Mathematics
2 answers:
Charra [1.4K]3 years ago
5 0
We want to solve
√(2x+4) - √(x) = 2

Write equation as
√(2x+4) = √x + 2
Square each side.
2x + 4 = x + 4√x + 4
x = 4√x
x - 4√x = 0
√x (√x - 4) = 0

Either 
√x = 0 => x = 0
or
√x = 4 => x = 16

Test for extraneous solutions.
When x = 0:
√(2x+4) - √x = 2  (Correct)
When x = 16:
√(2x+4) - √x = √(36) - √(16) = 6 - 4 = 2 (Correct)

A plot of f(x) = √(2x+4) - √x - 2 = 0 confirms hat the solutions are correct.

Answer: B. x = 0 and x = 16.

levacccp [35]3 years ago
3 0
The answer is a, x is 0
You might be interested in
Please i need help im very confused
arlik [135]

Answer:

a

Step-by-step explanation:

something are very complex

7 0
2 years ago
Read 2 more answers
The sine of 49° is equal to the cosine of what angle?
Digiron [165]
Sinα=cos(90-α)  this is an identity which you need to know...

in this case:

sin49°=cos41°
6 0
3 years ago
What is 5 divided by-6/5
klasskru [66]
-25/6. hope this helps!

6 0
3 years ago
The diameter of a tire is 2.5 ft. Use this measurement to answer parts a and b. Show all work to receive full credit.
Alex787 [66]
Divide them all together.
8 0
3 years ago
Please solve this with explanation, don’t just give the answer please explain too.
Gemiola [76]

Answer: 30x⁴

Step-by-step explanation:

2x⁴ + (-3x²)² + 10(x²)² + (-3x²)²

2x⁴ + (9x⁴) + 10 (x⁴) + (9x⁴)

2x⁴ + 9x⁴ + 10x⁴ + 9x⁴

2x⁴ + 10x⁴ 9x⁴ + 9x⁴

12x⁴ + 18x⁴

30x⁴

(-x)² = x²

(xᵃ)ᵇ = xᵃᵇ

Hope I helped!

3 0
3 years ago
Other questions:
  • Please Help!! ASAP!!!! I will mark you brainiest!!!!!
    14·1 answer
  • Write an expression that computes the average of the values 12 and 40.
    13·1 answer
  • Two triangular roofs are similar. The ratio of the corresponding sides of these roofs is 2:3. If the altitude of the bigger roof
    6·1 answer
  • According to a certain golf​ association, the weight of the golf ball ball shall not be greater than 1.620 ounces​ (45.93 grams)
    6·1 answer
  • A random number is selected from the interval [6.35, 10]. Find the probability that the number is within a distance of 0.25 from
    13·1 answer
  • In ΔDEF, the measure of ∠F=90°, the measure of ∠D=10°, and EF = 94 feet. Find the length of DE to the nearest tenth of a foot.
    9·1 answer
  • Plss help... Dalvin's family took a road trip to Mount Rushmore. Dalvin fell asleep 44% of the way through the trip. If Dalvin f
    14·2 answers
  • How i do this and please give me answer too
    15·1 answer
  • Please answer the picture
    9·2 answers
  • If using the method of completing the square to solve the quadratic equation x^2 + 3x +21 =0?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!