The extraneous solution of the given radical equation is x = 3
<h3>
Finding the extraneous solution:</h3>
Here we have the radical equation:
We want to get the extraneous solution, to get it, we first need to square both sides of the equation, so we get:
Now we got a quadratic equation, we can rewrite it as:
To solve this we use Bhaskara's formula, we will get:
Then the two solutions are:
x = (15 + 9)/2 = 12
x = (15 - 9)/2 = 3
<h3>Which one is the extraneous solution?</h3>
Let's evaluate both solutions in our original equation and let's see which is the one that does not work:
for x = 12 we have:
This is true.
For x = 3 we have:
This is false, so the extraneous solution is x = 3.
If you want to learn more about extraneous solutions, you can read:
brainly.com/question/2959656
Answer:
x ≈ 15.9
Step-by-step explanation:
a straight line is equal to 180 degrees
so we now know that 9x + 8 + 29 = 180
combine like terms 9x + 37 = 180
now subtract 37 from both sides 9x = 143
now divide both sides by the value of 9 x ≈ 15.9
Answer:
27 muffins.
Step-by-step explanation:
We have been given that a baker made 60 muffins for a cafe. By noon, 45% of the muffins were sold.
To find the number of muffins sold by noon let us find 45% of 60.
Therefore, 27 muffins were sold by noon.
(y-3)^2 -4y +12 = 0
[y^2 -6y +9] -4y +12 =0
y^2 -10y + 21 = 0
(y -3) (y-7) =0
y=3 ; y = 7
The correct answer is: 3) " <span>20w⁵ </span>" .
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Explanation:
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(10w³)²<span>/ (5w) =
[ 10</span>² * w⁽³*²)<span> ] / [5w] =
(100* w</span>⁶) / 5w =
(100/5) * w⁽⁶⁻¹⁾ =
20 * w⁵ =
20w⁵ ; which is: Answer choice: 3) " <span>20w⁵ </span>" .
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