Examples of using Negative square root in English and their translations into Arabic
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So we want to take the negative square root.
You get negative square root of y plus 2 plus 1 is equal to x for y is greater than or equal to negative 2.
Now, you could take the negative square root as well.
Maybe this would have, maybe this would have worked if we were taking-If this was the negative square root.
So you get the negative square root of y plus 2 is equal to.
So we want to take the positive and negative square root.
Then we take the negative square root, you're going to be a little bit smaller, and that's why we're a little bit below.
So 4x plus 1 is equal to the positive or negative square root of 8.
And, likewise, when you take the negative square root, you're always going to be a little bit smaller than either of the asymptotes.
So to solve for it, you want to have the negative square root.
If you want to refer to the negative square root, you would actually put a negative in front of the radical sign.
And then that simplifies the idea of taking a negative square root.
If you take the negative square root of 2.25, that is equal to 2 times 2.25, so that is equal to 4.5 minus 6, which is negative 1.5.
We're dealing with a distance, so we can't take the negative square root.
So we want to take the negative square root of our square. .
And in the next video or the video after that,we will solve an example where you want to take the negative square root.
I know that we'regoing to be a little bit less than the negative square root, but I will do it the other way.
Negative square root of y plus 2 is equal to the negative square root of x minus 1 squared is just going to be x minus 1.
But it's veryimportant to think about whether you want to take the positive or the negative square root at this step.
And if we actually took the positive and negative square root, this would be t is equal to the negative square root of 10.
Lost some information,because we would have also gotten this if we squared the negative square root of five x plus six.
I distribute the 4, take the positive and negative square root both sides. y is equal to the plus or minus square root of 4 over 9x squared plus 4.
There's one where you take the positive square root, and there's another solution where you take the negative square root.
If the negative square root over here equals the negative square root over here, then it's just another combination of the different positives and negatives. .
We can take the square root of both sides and we get x minus3/2 is equal to the positive or the negative square root of 61/20.
We're not considering the negative square root of this, because when you take the square root of both sides to get here, we're only taking the principal root. .
Especially in a precalculus class because it reallyis tricky to realize that you have to take the negative square root here.
If you're familiar with negative numbers,you know that there's also a negative square root, but when you just see this symbol, that means the positive square root. .
So because this expression is negative and we want to get back to this expression, we want to get back to this x minus 1,we need to take the negative square root of both sides.
You take the square root of both sides, and, of course, you want to take the positive and the negative square root, because 4x plus 1 could be the positive square root of 8, or it could be the negative square root of 8.