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
kow [346]
3 years ago
9

Part 1. Create two radical equations: one that has an extraneous solution, and one that does not have an extraneous solution. Us

e the equation below as a model.
a√x+b+c=d

Use a constant in place of each variable a, b, c, and d. You can use positive and negative constants in your equation.

Part 2. Show your work in solving the equation. Include the work to check your solution and show that your solution is extraneous.

Part 3. Explain why the first equation has an extraneous solution and the second does not.
Mathematics
2 answers:
love history [14]3 years ago
8 0

Answer:

1)a) \sqrt{2x+3}=x b)\sqrt{x+5}=3 2) Solving and Checking on section 1 3) Commonly when we square both sides and there's an x on the right side outside the radical equation, an extraneous solution arises.

Step-by-step explanation:

1 &2) An extraneous solution does not satisfy an equation. So let's evaluate:

a=1,b=3,c=0, d=x}

\sqrt{2x+3}=x

\sqrt{2x+3}=x\\\left ( \sqrt{2x+3} \right )^{2}=\left (x\right)^{2}\\2x+3=x^{2}\\-x^{2}+2x+3=0\:*(-1)\\x^{2}-2x-3=0\\(x-3)(x+1)=0\\x'=-1, x''=3 \\S=\left \{ -1,3 \right \}

Checking for extraneous solution:

\sqrt{2(-1)+3}=-1\\\sqrt{3-2}=-1\\\sqrt{1}\neq-1\\1\neq -1\\\therefore -1 \:is \:an\:extraneous\:solution

\sqrt{2(3)+3}=3\\\sqrt{6+3}=3\\\sqrt{9}=3\\3= 3\\\therefore 3 \:satisfies\:the\:equation.

1 and 2) Another radical equation:

a=1, b=5,c=0, d=3

\sqrt{x+5}=3\\\left ( \sqrt{x+5}\right )^{2}=3^{2}\\x+5=9\\x=9-5\\x=4\\S=\left \{ 4\right \}

Checking:

\sqrt{x+5}=3\\\left ( \sqrt{4+5} \right )^{2}=3^{2}\\4+5=9\\9=9\\

4 satisfies the equation.

3) Because when we change the radical equation into quadratic one, and both sides are squared, very often the second solution does not satisfy the equation. That happened when we squared x.

Airida [17]3 years ago
6 0
A+x=bxc
bc=aa 
bc=a
esa es la respuesta final
You might be interested in
You have 636.3 g of pennies and each penny weighs 3.03g. how many pennies do you have
nalin [4]
Total weight=number of pennies times weight of 1 penny
total weight/weight of 1 penny=number of pennies
636.3/3.03=210

210 pennies
8 0
3 years ago
There are 180 students going on a class field trip. Of those students, 40% are boys. How many students on the field trip are boy
Rufina [12.5K]

Answer:72 are boys.

Step-by-step explanation:

40%of 180 is 72.

3 0
3 years ago
Read 2 more answers
Which expression is equivalent to 4 (x+3)?
Reika [66]

Answer:

B

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Leanne Raymond Montel and Emily body gift for their soccer coach the total cost of the gift including tax was $55.80 Montel paid
Flauer [41]

Solution: The total cost of the gift including the tax = $55.80

The amount paid by Montel = $14

The amount paid by Raymond is

\frac{1}{3} \times 55.80

18.6

Therefore, Raymond paid $18.6

The amount paid by Emily is

25% of 55.80

0.25 \times 55.80 = 13.95

Therefore, Emily paid $13.95

We also know that the remaining amount is paid by Leanne.

Therefore, the remaining amount is:

Total amount - Amount paid by Montel, Raymond and Emily

55.80 -(14+18.6+13.95)

55.80 - 46.55

9.25

The amount paid by Leanne is $9.25

We clearly see, Raymond has paid $18.6, which is the greatest part of the cost $55.80

7 0
3 years ago
How do you simplify this problem
Aleonysh [2.5K]
The answer is 1/r to the power of 9
7 0
3 years ago
Other questions:
  • Identify the mapping diagram that represents the relation and determine whether the relation is a function. {(-8, -6), (-5, 2),
    11·2 answers
  • Your friend is 1.2 times taller than you. Your friend is 64.5 inches tall. How tall are you?
    8·1 answer
  • How do logarithmic equations relate to exponential equations?
    6·1 answer
  • A helicopter is flying from Hong Kong to Jakarta. The latitude of Jakarta is -6.20°, and its longitude is 106.80°. The latitude
    7·2 answers
  • Ill mark brainlist plss help
    14·2 answers
  • Apples come in bags of 4. Oranges come in bags of 6.
    8·2 answers
  • A line has a slope of negative 3 and a y-intercept of 3 what is the x intercept of the line​
    15·1 answer
  • 4
    8·1 answer
  • A cyclist travels 12 km from home to the park.
    11·2 answers
  • 3.PS-15
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!