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
mr_godi [17]
3 years ago
14

Solve the equation. Identify any extraneous solutions.

Mathematics
2 answers:
Brrunno [24]3 years ago
6 0
x=\sqrt{2x+24}\\
x\geq 0 \wedge 2x+24\geq0\\
x\geq 0 \wedge 2x\geq-24\\
x\geq 0 \wedge x\geq-12\\
x\geq0\\\\
x=\sqrt{2x+24}\\
x^2=2x+24\\
x^2-2x-24=0\\
x^2+4x-6x-24=0\\
x(x+4)-6(x+4)=0\\
(x-6)(x+4)=0\\
x=6 \vee x=-4\\\\
-4\not \geq 0

So, <span>6 is a solution to the original equation. The value –4 is an extraneous solution.</span>

Mice21 [21]3 years ago
5 0
x=\sqrt{(2x+24)}\\\\The\ domain:\\2x+24\geq0\to x\geq-12\\x\geq0\\D:x\geq0\\\\x=\sqrt{2x+24}\ \ \ \ |square\ both\ sides\\\\x^2=(\sqrt{2x+24)})^2\\\\x^2=2x+24\ \ \ |-2x-24\\\\x^2-2x-24=0\\\\x^2+4x-6x-24=0\\\\x(x+4)-6(x+4)=0\\\\(x+4)(x-6)=0\iff x+4=0\ \vee\ x-6=0\\\\x=-4\notin D\ \vee\ x=6\in D

Answer: 6 is a solution to the original equation. The value –4 is an extraneous solution.

You might be interested in
Determine whether the graphs of the given equations are parallel, perpendicular, or neither. y = 4x - 7
shtirl [24]

Answer:

Neither. If they were both place on a coordinate plane, they would cross, but not perpendicular. Since they cross, they cannot be parallel either. Hope that helped

Step-by-step explanation:

4 0
3 years ago
It’s number 37. Thanks!
joja [24]

Answer: 11 and 12

Step-by-step explanation:

4 0
3 years ago
Triangle GHI is similar to triangle JKL. If angle H measures 60 degrees and angle L measures 25 degrees, what is the measure of
In-s [12.5K]
180 - (60 +25)
= 180 - 85
= 95

m<K = 95 degrees

answer: <span>D.) 95</span>
7 0
4 years ago
How do i write an equation to find thr nth term ouof the sequence 1,3,5,7 then find a24
solniwko [45]

from 1, to 3, to 5 to 7, notice, is simply adding 2 to get the next term.

1+2 =3, 3+2 =5 and so on.

so the common difference is 2, and the first term is of course 1.


\bf n^{th}\textit{ term of an arithmetic sequence}&#10;\\\\&#10;a_n=a_1+(n-1)d\qquad&#10;\begin{cases}&#10;n=n^{th}\ term\\&#10;a_1=\textit{first term's value}\\&#10;d=\textit{common difference}\\[-0.5em]&#10;\hrulefill\\&#10;a_1=1\\&#10;d=2\\&#10;n=24&#10;\end{cases}&#10;\\\\\\&#10;a_{24}=1+(24-1)2\implies a_{24}=1+(23)2\implies a_{24}=1+46\implies a_{24}=47

5 0
3 years ago
Evaluate.
Aleksandr-060686 [28]

Answer:

-58

Step-by-step explanation:

-|123+(-1)|/2-(-3)

-|122|/2-(-3)

-122/2-(-3)

-61-(-3)

-58

5 0
3 years ago
Read 2 more answers
Other questions:
  • A trampoline has an area of 49 pi square feet. what is the diameter of the trampoline?
    13·1 answer
  • If x and y are two distinct angles satisfying the equation Acos(z)+Bsin(z)=C
    12·1 answer
  • What is 10xy - 15y in factored form
    8·1 answer
  • WhAt is the square root of 2 times the square root of 2
    12·1 answer
  • dovon answered 23, out of 25 problems on a math test correctly what percent of the problems did devon answerbcorrectly​
    9·2 answers
  • Liam wants to buy a Nintendo Switch. The Switch costs $350 plus tax. He has $380. If tax is 9%, will he have enough to buy the S
    9·2 answers
  • Let u = &lt;-3, 4&gt;, v = &lt;8, 2&gt;. Find u + v.
    8·1 answer
  • How to calculate the area of cross-section ?<br><br>Does anyone know the formula ???​
    15·1 answer
  • Find the determinant of 2P-3Q if P=(2/3-1/4) and Q=(2/0-3/5)​
    5·1 answer
  • Eli and Dylan are brothers and decide to have a race from one end of the street to the other. Since Eli is older, he gives Dylan
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!