Both of the solutions, x = {-4, -3}, are viable. There are no extraneous solutions.
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An extraneous solution would show up as the x-intercept associated with the missing branch of the square root function. Since both solutions are on the positive-square-root branch, they are both good solutions to the equation.
For graphing purposes, we have subtracted x to get
f(x) = √(3x+13) -5 -x
and we are looking for solutions to f(x)=0.
If you add 5 and square both sides, you get the quadratic equation
3x +13 = (x +5)²
x² +7x +12 = 0
(x +3)(x +4) = 0
x ∈ {-4, -3}
Step-by-step explanation:
Step 1:
write the equation
Step 2:
open the brackets and sign of -34 change into +34→
reason :
Step 3:
after adding 76 and 36 we will get 112✓
hope it helped you:)
Answer:
Step-by-step explanation:
We are to highlight the drawbacks of getting college credit in high school.
Whenever college credit is also desired while doing high school,
the student has to make his own arrangement for conveyance to attend both school and college. Also time constraint to prepare for both exams make student frustrated, out of focus, etc.
All students may not be able to balance two places of education simultaneously. Though cost may be less compared to separately doing, the problem is sometimes the desired colleges may not be near the student's locality.
Also some private colleges do not recognize school credit and hence not ready to admit the students till they complete fully high school
Given expression: 
We need to add the given rational expressions.
First step: Combined like terms in the numerator and kept the common denominator.
Second step they applied : Canceling the like term x^2 and got 
Note: We can't cancel like terms in top and bottom like this.
We can cancel out common factors in top an bottom.
<h3>Therefore, Micah did not add the expressions correctly.</h3>
y = -5x + 24
y = 4x - 21
Since both of these equations are equal to Y, theyre equal to each other.
So we can make an equation with y = -5x + 24 in one side and y = 4x - 21 on the other.
-5x + 24 = 4x - 21
Now in order to get the value of x we need to isolate it in one side of the equation. We can do this by subtracting 24 from both sides of the equation:
-5x + 24 - 24 = 4x - 21 - 24
-5x = 4x - 45
Now we subtract 4x from both sides so the 4x shift to the other side
-5x - 4x = 4x - 4x - 45
-9x = -45
Finally divide both sides by -9 so x is by itself
(-9)÷(-9x) = -(45)÷(-9)
x = 5
Since we did all of this to BOTH sides of the equation, both sides are still equal to each other and the equation still is true.
Now apply x = 5 to either of the initial equations to find the value of Y
y = -5x + 24 or y = 4x - 21
(I'll do both but u only need one)
y = -5(5) + 24
y = -25 + 24
y = -1
y = 4(5) - 21
y = 20 - 21
y = -1
Either way, X is 5 and Y is -1
Answer (5, -1)
