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
zubka84 [21]
2 years ago
11

PLEASE HELP!! Algebra 2

Mathematics
1 answer:
lawyer [7]2 years ago
8 0

Answer:

No

Edit:

Yes, based on original equation. (Credit to greenpumpkin for correction)

Step-by-step explanation:

For this problem, we simply need to find the values of x that can make the equation true.  So, let's begin by isolating the "x" variable.

sqrt(2x + 13) = x + 5

[sqrt(2x + 13)]^2 = (x + 5)^2

2x + 13 = x^2 + 10x + 25

0 = x^2 + 8x + 12

Note, we can remove the sqrt method by squaring both sides of the equation.  Doing this, we see we have a quadratic equation meaning we can apply the quadratic formula to find solutions for x.

[-b +/- sqrt( b^2 - 4(a)(c) ) ] / 2a

Let a = 1, b = 8, and c = 12

[-8 +/- sqrt( (8)^2 - 4(1)(12) ) ] / 2(1)

= [-8 +/- sqrt( 64 - 48 ) ] / 2

= [-8 +/- sqrt(16) ] / 2

= [ -8 +/- 4 ] / 2

So, x = [ -8 + 4 ] / 2  and x = [-8 - 4 ] / 2

x = [-4] / 2 = -2  and x = [-12] / 2 = -6

Hence, the two values of x that can solve this quadratic equation are x = -2 and x = -6.

Therefore, we know that x = -6 is not extraneous, meaning it is a solution to our equation.

Cheers.

----------------------------------------------------

Edit:

Plugging the value of -6 back into the original equation, we get the following:

sqrt(2x + 13) = x + 5

sqrt(2(-6) + 13) = (-6) + 5

sqrt (1) = -1

1 != -1

Given that 1 cannot equal negative 1, we can say that x = -6 is an extraneous solution. (Credit to greenpumpkin for correction)

You might be interested in
Simplify: <br><br> (-3i)(4i)(-5i)
Alecsey [184]
60i
if you go to mode on your calculator then Chang it from "real" to "a+bi" you can solve for unreal numbers. if you press "2nd" then "." it makes an "i"

4 0
3 years ago
Suppose that the relation H is defined as follows.
Norma-Jean [14]

Answer:

  • Domain = {-8, 2}
  • Range = {-2, -1, 7}

Step-by-step explanation:

The domain is the set of x values, and the range is the set of y values.

6 0
1 year ago
What is 1/4 of 1,360
yan [13]

Answer: 340

Step-by-step explanation:

1360 / 4 = 340

5 0
3 years ago
Read 2 more answers
Barbara works in a bakery. She puts 12 blueberries in each blueberry muffin she makes. How many blueberries does Barbara need to
Elena-2011 [213]

Answer:

96 blueberries

Step-by-step explanation:

x = number of muffins

Since each blueberry is going to contain 12 blueberries, we can multiply 12 by the number of muffins to get the total number of blueberries.

12x

12(8)

96

4 0
3 years ago
If y varies directly as x, and the constant of variation is -3, which equation represents this relationship?
kow [346]
Y=kx..............y=-3x
5 0
3 years ago
Other questions:
  • Convert 28/50to a percent
    7·1 answer
  • Show your work plz luv u
    5·1 answer
  • At a birthday party, all of the guests chose either vanilla or chocolate ice cream to be served with the cake for dessert.For th
    5·1 answer
  • How many ounces of a silver alloy that cost $4 an ounce must be mixed with 10oz of an alloy that costs $6 an ounce to make a mix
    13·1 answer
  • Give the slope-intercept form of the equation of the line that is perpendicular to 5x+2y=12 and contains the point (2, 3)
    11·1 answer
  • What is the solution for this inequality?<br><br> -10x &lt; 40
    7·1 answer
  • 1
    10·1 answer
  • Help it’s due today
    8·2 answers
  • the price for one book mark at the fair is 2.15 . which equation best represents y, the total cost of x bookmark at this fair
    11·1 answer
  • What is the quotient 931/4?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!