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Candace makes a sugar-water mixture for hummingbirds. She knows the amount of sugar used in the mixture is proportional to the a
mount of water used.
Which of the following could represent the relationship between the amount of sugar and water Candace should use in the mixture?
Which of the following could represent the relationship between the amount of sugar and water Candace should use in the mixture?
1 answer:
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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: